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Paper Citation Record · LEDGER

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC)

As of 8 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2507.18048.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.18048 v1

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:48:02.168324Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T16:18:07.305244Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

60 of 60 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8436555c-b4d6-4e65-9147-ac4ff5477830 · outbound

This paper cites Geometric evolution problems, distance function and viscosity solutions.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Geometric evolution problems, distance function and viscosity solutions

Reference 1

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0382b197-005e-4946-8250-75fff9b3439e · outbound

This paper cites Convexity splitting in a phase field model for surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Convexity splitting in a phase field model for surface diffusion

Reference 2

Resolution
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 006032cb-bf7d-49ce-bf29-03bcaa9d01ca · outbound

This paper cites Srolovitz, and Yan Wang.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Srolovitz, and Yan Wang

Reference 3

Resolution
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 014cbb36-30af-4f27-9b02-e94f214e4522 · outbound

This paper cites A parametric fin ite element method for solid-state dewetting problems with anisotropic surface energies.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A parametric fin ite element method for solid-state dewetting problems with anisotropic surface energies

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c6e089ec-cf9e-4f28-88b2-66e98ad75be4 · outbound

This paper cites Numer ical approximation of anisotropic geo- metric evolution equations in the plane.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Numer ical approximation of anisotropic geo- metric evolution equations in the plane

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation bf13cab2-568e-4045-8bd2-30b90462a7ea · outbound

This paper cites Stress-induced acceleration and ordering in solid-state dew etting.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Stress-induced acceleration and ordering in solid-state dew etting

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a7acbc42-737d-4268-92d2-f223606591d5 · outbound

This paper cites Appr oximation of surface diffusion flow: A second-order variational Cahn-Hilliard model with degenerate mo bilities.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Appr oximation of surface diffusion flow: A second-order variational Cahn-Hilliard model with degenerate mo bilities

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0daae9b1-b551-4819-91c1-8a20e0181d5d · outbound

This paper cites The Cahn–H illiard equation with a concen- tration dependent mobility: motion by minus the laplacian of the mean c urvature.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) The Cahn–H illiard equation with a concen- tration dependent mobility: motion by minus the laplacian of the mean c urvature

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation e50fe1b9-be64-40ef-9eb0-1ccee59db8fd · outbound

This paper cites Efficient energy stable schemes with spec tral discretization in space for anisotropic Cahn-Hilliard systems.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Efficient energy stable schemes with spec tral discretization in space for anisotropic Cahn-Hilliard systems

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation a05d8c20-fe7e-4ba4-95a3-c7978e8ace82 · outbound

This paper cites Coarsening mechanism for systems gove rned by the Cahn–Hilliard equation with degenerate diffusion mobility.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Coarsening mechanism for systems gove rned by the Cahn–Hilliard equation with degenerate diffusion mobility

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation cd508ea5-9713-40c8-9655-7113df1391b8 · outbound

This paper cites Computat ion of geometric partial differential equations and mean curvature flow.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Computat ion of geometric partial differential equations and mean curvature flow

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 2c3b5950-ce46-44ad-acae-bf911a86429e · outbound

This paper cites Onsager’s variational principle in soft matter.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Onsager’s variational principle in soft matter

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 63a0215f-2e44-402c-a854-1946e3745106 · outbound

This paper cites Application of the O nsager-Machlup integral in solving dynamic equations in nonequilibrium systems.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Application of the O nsager-Machlup integral in solving dynamic equations in nonequilibrium systems

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation de6e5145-9cba-4d5b-a43e-7d03e5c0af5e · outbound

This paper cites Recent developments in the theory of sur face diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Recent developments in the theory of sur face diffusion

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8f61b4ef-66af-48ca-9e68-33f4809ae8e1 · outbound

This paper cites An aniso tropic phase-field model for solid-state dewetting and its sharp-interface limit.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) An aniso tropic phase-field model for solid-state dewetting and its sharp-interface limit

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f29de3ea-1505-4e41-9ff0-e2f43f624c2a · outbound

This paper cites Surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Surface diffusion

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 5d658c4c-8955-46fe-9f22-114a3966cc2e · outbound

This paper cites A diffuse-interface approach for solid-state dewetting with anisotropic surface energies.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A diffuse-interface approach for solid-state dewetting with anisotropic surface energies

Reference 17

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 1c9d90fc-e8ff-4994-8b1c-d10f2a3ece26 · outbound

This paper cites Phase-field investigation of the coarsening of porous structures by surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Phase-field investigation of the coarsening of porous structures by surface diffusion

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 95486f24-aa90-4ee5-80ae-6d7d946f06ae · outbound

This paper cites Comparison of phase-field models for surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Comparison of phase-field models for surface diffusion

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation c452b840-4d85-4b76-8389-f782804b13ba · outbound

This paper cites A vector thermodynamics for a nisotropic surfaces: I.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A vector thermodynamics for a nisotropic surfaces: I

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 37d7c638-bcb6-43db-93e4-12f44c446c55 · outbound

This paper cites Jiang, Q.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Jiang, Q

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 77232d48-3927-4afe-9915-0b9e5b73c09c · outbound

This paper cites P hase field approach for simulating solid-state dewetting problems.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) P hase field approach for simulating solid-state dewetting problems

Reference 22

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 13918334-399c-4271-b9a5-c7baeb8c9100 · outbound

This paper cites A perimeter-decreasing and area-con serving algorithm for surface diffusion flow of curves.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A perimeter-decreasing and area-con serving algorithm for surface diffusion flow of curves

Reference 23

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 81958e94-41fe-4a34-a7e3-88e684f99d35 · outbound

This paper cites Sharp-interface approach for simula ting solid-state dewetting in two dimen- sions: A Cahn–Hoffman ξ-vector formulation.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Sharp-interface approach for simula ting solid-state dewetting in two dimen- sions: A Cahn–Hoffman ξ-vector formulation

Reference 24

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7ac03355-0812-407f-a441-344cf542308c · outbound

This paper cites Application of Onsager’s variational principle to the dynamics of a solid toroidal island on a subs trate.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Application of Onsager’s variational principle to the dynamics of a solid toroidal island on a subs trate

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4cb18391-afda-411c-b69b-5dce9fbb10b7 · outbound

This paper cites Degenerate mob ilities in phase field models are insuffi- cient to capture surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Degenerate mob ilities in phase field models are insuffi- cient to capture surface diffusion

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0b4cf3e7-321f-4431-a878-ea1b5068b8c7 · outbound

This paper cites A numerical study of ele ctro-migration voiding by evolving level set functions on a fixed cartesian grid.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A numerical study of ele ctro-migration voiding by evolving level set functions on a fixed cartesian grid

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 939b46d5-5160-4954-b540-1faf973748e4 · outbound

This paper cites A note on a phase-field model for anisotropic sy stems.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A note on a phase-field model for anisotropic sy stems

Reference 28

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 0540e242-9629-4790-9f99-940c164719e1 · outbound

This paper cites Sets of finite perimeter and geometric variational problems : an introduction to Geo- metric Measure Theory.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Sets of finite perimeter and geometric variational problems : an introduction to Geo- metric Measure Theory

Reference 29

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b1e9bbde-bd6b-4886-9a5c-d12390e3004c · outbound

This paper cites Existence of solutions for anisot ropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Existence of solutions for anisot ropic Cahn-Hilliard and Allen-Cahn systems in higher space dimensions

Reference 30

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.081407Z digest=sha256:3d3a82b16dfab767d503623fd32a9e2267dc1c60065ce3bdb1f48d2c1c8e28ef

Observation b9281e0d-4c99-492e-922c-f625035e9211 · outbound

This paper cites Un esempio di γ-convergenza.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Un esempio di γ-convergenza

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.441273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.083996Z digest=sha256:79780d59199e069a4a6af50b53acb9ca077b1085558902a915c9e83dff7e26fb

Observation f4a8b0c7-112a-4bc5-ad18-ab9c0148d4dd · outbound

This paper cites Theory of thermal grooving.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Theory of thermal grooving

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.433732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.086848Z digest=sha256:45945a76e2a98f4e41e122fc65279e68b676bc4e460b1ad9ff164d71ab440c60

Observation 78e19d46-9164-47b5-83db-545f64c3dd02 · outbound

This paper cites Reciprocal relations in irreversible processes.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Reciprocal relations in irreversible processes

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.425688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.089532Z digest=sha256:21bf7a99e3c03af922336c1d16b37284930cd0c75750f59333ba6d81c900476d

Observation e3e47019-8394-4363-a506-17956678a489 · outbound

This paper cites Reciprocal relations in irreversible processes.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Reciprocal relations in irreversible processes

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.417463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.092401Z digest=sha256:762d2312447a5cc2fa18c0988aa12f6ed3292b3aef2ff60b95d22b3cc8e8449e

Observation e0a89a72-36ef-4970-a5e6-8a97d4285bed · outbound

This paper cites A variational app roach to moving contact line hydrodynamics.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A variational app roach to moving contact line hydrodynamics

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.409591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.095204Z digest=sha256:32ad0519007632a3ccf51f2a00d6a869a33c7dd5bbddd91799feaeebf22dcee7

Observation 6644ec80-b387-43b2-82db-6accb145ab96 · outbound

This paper cites Surface evolut ion of elastically stressed films under deposition by a diffuse interface model.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Surface evolut ion of elastically stressed films under deposition by a diffuse interface model

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.401398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.098139Z digest=sha256:e3935204314b9d53eadeed4c97c947dfafd092ff8420fd1a2c5df6be3ccee7ed

Observation d5d49f71-39c9-492f-8069-0ef24db6365b · outbound

This paper cites Faceting of equilibrium and metastable nanostructures: a phase-fi eld model of surface diffusion tackling realistic shapes.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Faceting of equilibrium and metastable nanostructures: a phase-fi eld model of surface diffusion tackling realistic shapes

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.393611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.101072Z digest=sha256:11b9bf795b0764349a1a5760cb73637ae63fc53366bad0eca1fcdedb1b2b9639

Observation 9d5dbe15-7561-4a73-b95b-27ab1fcee781 · outbound

This paper cites Morphological evolution of pit-patterned si (001) substrates driven by surface-energy r eduction.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Morphological evolution of pit-patterned si (001) substrates driven by surface-energy r eduction

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.385780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.103822Z digest=sha256:777e1138ff5f22073e4536ba14e30cb2f1a049a8742eee2ebf000350987c97ec

Observation 90bee83d-b41c-4d6c-a877-424b51d80386 · outbound

This paper cites Phase-field simulations of faceted Ge/Si-crystal arrays, me rging into a suspended film.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Phase-field simulations of faceted Ge/Si-crystal arrays, me rging into a suspended film

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.376737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.106539Z digest=sha256:82cb4b6a03c93cf47ccf225bb9e91f1b010f73848d59476b476065a0fd734ac7

Observation d0f6f121-d7c9-40ad-bbcf-cee54bd8eb80 · outbound

This paper cites D oubly degenerate diffuse inter- face models of anisotropic surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) D oubly degenerate diffuse inter- face models of anisotropic surface diffusion

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.366760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.109349Z digest=sha256:3fcd5919ea4c0e9c1ad7c60a623ed88e886f4a611d5d0763a5c7579e83006fc5

Observation 82710d48-bf2e-4de8-85d4-5d76f9a9e1a8 · outbound

This paper cites Doubly degener ate diffuse interface models of surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Doubly degener ate diffuse interface models of surface diffusion

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.357272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.112215Z digest=sha256:2a58b1e0a998b256a9da5c39dc40da5f818c512260901f2fe69c9474ee43e2ae

Observation 5a431942-6f63-40f3-bd95-a1b495266bfd · outbound

This paper cites Stabilized predictor-corrector schemes fo r gradient flows with strong anisotropic free energy.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Stabilized predictor-corrector schemes fo r gradient flows with strong anisotropic free energy

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.347825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.115213Z digest=sha256:484f9f185028268a813412ac3dbf20f4e66ad3a9c9501aaaffced8532c95064f

Observation e8fef58f-0b14-4c95-98a0-6819225005f0 · outbound

This paper cites A new class of efficient and robus t energy stable schemes for gradient flows.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A new class of efficient and robus t energy stable schemes for gradient flows

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.340316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.118430Z digest=sha256:cc9fcdf029f5b9de2c74a463d9c108d6b66bf82185b759ac919215954943f6e0

Observation f7f8a831-384d-45bc-883a-da59d4e0c3f6 · outbound

This paper cites Interfaces in crystalline materials.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Interfaces in crystalline materials

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.332454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.121501Z digest=sha256:8550ef9d42aa7e89f9d6890569c95045ad1aae4c1c75b128b1a9de8c2c3fd6d3

Observation 4c036c84-73b1-4c0b-927f-c08018cc84c8 · outbound

This paper cites Linking anisotropic sharp and diffu se surface motion laws via gradient flows.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Linking anisotropic sharp and diffu se surface motion laws via gradient flows

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.325189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.124532Z digest=sha256:b5ef83020371053defdec7b32183734e53e42323fe14c76030dcd46ee708ab49

Observation 5b8b44ab-89d4-4c56-923a-40fbbf486242 · outbound

This paper cites A new phase-field model for strongly anisotropic systems.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A new phase-field model for strongly anisotropic systems

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.316928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.127756Z digest=sha256:a6dfd71eba6d0cc403a666ef084ddd804726029dfee105ebc6f587144cc1220f

Observation 9e82c02b-027a-4ac0-9cce-52dac7782376 · outbound

This paper cites Voorhees.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Voorhees

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.308741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.130732Z digest=sha256:6d7b5a6fc830109351690227f5cbd064df6b5e9d39c94b2fdefa25dac9971ab9

Observation cd3cc8eb-b517-4718-99b4-b747c309e48f · outbound

This paper cites Onsager’s variationa l principle in active soft matter.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Onsager’s variationa l principle in active soft matter

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.300427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.133637Z digest=sha256:7a0fb0dc6736c8f95b33b43fece06e0ecf994828eff9e81fd30a8f03115ef244

Observation f1667e15-4d29-426d-9357-b5f3e9a27a96 · outbound

This paper cites Cahn–Hoffman ξ-vector and its relation to diffuse interface models of phase transit ions.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Cahn–Hoffman ξ-vector and its relation to diffuse interface models of phase transit ions

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.292316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.136475Z digest=sha256:6d9de6d24312716c206b02da0054a706363f01858d556465b5214f240e9da440

Observation d98b071b-1a24-4dbe-8ef3-acdc93ece8d3 · outbound

This paper cites Solving the reg ularized, strongly anisotropic Cahn– Hilliard equation by an adaptive nonlinear multigrid method.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Solving the reg ularized, strongly anisotropic Cahn– Hilliard equation by an adaptive nonlinear multigrid method

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.284312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.139416Z digest=sha256:9239000f1622674afcebed871a17fd9bac1aa3bbec070744aa56a6f5e581e1fb

Observation 455ac38d-32aa-4d94-a0eb-1f2588d63e32 · outbound

This paper cites an unresolved cited work.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:48:02.275287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.142329Z digest=sha256:e7779ee0fd0434fd258e119bec063b5c0f0e1ac1c980418e0f9d338e33d3d62f

Observation c68f8be4-9047-49fc-8a87-8ea2465cb23d · outbound

This paper cites A finite element analysis of t he motion and evolution of voids due to strain and electromigration induced surface diffusion.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A finite element analysis of t he motion and evolution of voids due to strain and electromigration induced surface diffusion

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.266827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.145214Z digest=sha256:0079d34448c13e668798ae2369b62284a30a4aa67161a31f78fb9e8c117de817

Observation 992ce88b-c58b-44d6-9e91-669a9db1be75 · outbound

This paper cites Anisotropic surfac e diffusion of CO on Ni (110).

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Anisotropic surfac e diffusion of CO on Ni (110)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.258355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.148341Z digest=sha256:ca040158ed0bc7c888999c05e7dceff8018b09e19060e218579b5ec29bf8c08b

Observation 79743595-1f3d-45de-945f-f4d54386008a · outbound

This paper cites Efficient and lin ear schemes for anisotropic Cahn– Hilliard model using the stabilized-invariant energy quadratization (S -IEQ) approach.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Efficient and lin ear schemes for anisotropic Cahn– Hilliard model using the stabilized-invariant energy quadratization (S -IEQ) approach

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.250293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.151166Z digest=sha256:ddb3f829d82fd00fddf4ea0ebb4e73b845ca62486c6e859d6f79f132d7628821

Observation b7b4b404-6782-4065-9fc7-a395407cf22f · outbound

This paper cites an unresolved cited work.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:48:02.241584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.154218Z digest=sha256:f4997cc8286a07298d492e2df850f59491989dacfdeb51429ac16659343962f5

Observation c819284d-e7ec-4c17-89b8-992a6c37642d · outbound

This paper cites Numerical approximation s for the molecular beam epitaxial growth model based on the invariant energy quadratization metho d.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Numerical approximation s for the molecular beam epitaxial growth model based on the invariant energy quadratization metho d

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.232659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.157194Z digest=sha256:7fe2b56cbde74da77e701e45e56b2b9a33b198bc0bc99218506107430fd41fab

Observation 6c4c147e-e099-4666-9545-c38ca0c27caa · outbound

This paper cites an unresolved cited work.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:48:02.223787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.160082Z digest=sha256:a9e06eec50f8cb44ea47d42365c2d32a5c15363404ba46b52dbee404dee715f1

Observation a20d5a00-c08b-457e-96d9-ae066413ea5a · outbound

This paper cites Variational approach to droplet transport via bendotaxis: thin film dynamics and model reduction.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Variational approach to droplet transport via bendotaxis: thin film dynamics and model reduction

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.215029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.162876Z digest=sha256:c7874a70719433bc50e3bdd527d715e5e788a741ee7102202c4e94b6c7a32327

Observation 3a57eb3b-4d6e-479d-97df-b5e2d142a27c · outbound

This paper cites A parametric finite elemen t method for solid-state dewetting problems in three dimensions.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) A parametric finite elemen t method for solid-state dewetting problems in three dimensions

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.205879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.165555Z digest=sha256:154f2f9e1e3a74a4772d0233e92ef46e69f464f13befd56b5856d295f58e1386

Observation 3c16dce7-319a-4e81-96a6-0068ddad01a0 · outbound

This paper cites Dynamics of small solid particles on substrates of arbitrary topography.

A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC) Dynamics of small solid particles on substrates of arbitrary topography

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:48:02.196028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:48:02.168324Z digest=sha256:79c467b1e6fb9f1ccdfe505866b7ef1c2d6cef3ea1264c3ed91adfe8d21ae4e0

Pith citing papers

Observation c128d225-eaa9-4157-b7ff-b3b1fbf393e0 · inbound

Variable-preconditioned transformed primal-dual method for generalized Wasserstein Gradient Flows cites this paper.

Variable-preconditioned transformed primal-dual method for generalized Wasserstein Gradient Flows A new Phase-Field Model for Anisotropic Surface Diffusion: Anisotropic Cahn-Hilliard Equation with Improved Conservation (ACH-IC)

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-04T16:18:07.305244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T16:18:07.305244Z digest=sha256:e3b03fb3b15c475f43098dce97b222766581d3c433f2683cf88e439659eeb06b