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arxiv: 2605.25834 · v1 · pith:DDERSFQ4new · submitted 2026-05-25 · ❄️ cond-mat.mtrl-sci

Dealloying by peritectic melting

Mingwang Zhong , Alain Karma This is my paper

Pith reviewed 2026-06-29 21:37 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci
keywords peritectic meltingbicontinuous structuresliquid film migrationmorphological instabilityTi-Ag alloydealloyingcoarseningdendritic growth
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The pith

Peritectic melting of Ti-Ag alloys forms bicontinuous structures when a Ti-rich solid grows through an Ag-rich liquid film and develops coalescing dendritic branches.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper establishes that bicontinuous networks seen in Ti-Ag peritectic melting experiments result from a three-dimensional morphological instability during liquid film migration. A Ti-rich solid advances into an Ag-rich liquid layer, forming branched seaweed or dendritic patterns whose side branches merge to create connecting handles and a high-genus topology. A sharp-interface theory shows that the front advances at constant speed with fixed initial ligament width, unlike liquid-metal dealloying, after which standard t to the one-third coarsening reproduces the final ligament sizes measured in experiments.

Core claim

In the Ti-Ag peritectic system, liquid film migration undergoes a morphological instability in three dimensions. The solid-liquid interface develops branched structures whose coalescence generates bicontinuous networks. The sharp-interface model yields time-independent velocity and initial width, followed by diffusive coarsening scaling as t to the one third.

What carries the argument

The three-dimensional morphological instability of the solidification front in liquid film migration, which produces side-branch coalescence into handles.

Load-bearing premise

The phase-field model and sharp-interface theory fully capture the liquid film migration and three-dimensional instability without missing kinetic or other physical effects.

What would settle it

An experiment that measures whether the solidification front velocity remains constant in time or varies would confirm or refute the predicted constant-speed regime.

Figures

Figures reproduced from arXiv: 2605.25834 by Alain Karma, Mingwang Zhong.

Figure 1
Figure 1. Figure 1: Liquid film migration instability during Ti–Ag peritectic melting. [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Bicontinuous network formation by side-branch coalescence. [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Topology and coarsening of the bicontinuous network. (a) [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Tip kinetics during peritectic melting. (a) [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Scaling laws and solvability-type selection. [PITH_FULL_IMAGE:figures/full_fig_p007_5.png] view at source ↗
read the original abstract

Peritectic melting of Ti--Ag has been shown experimentally to form bicontinuous structures, but the mechanism remains unclear. Here we use phase-field simulations to show that these structures arise from a morphological instability of liquid film migration in three dimensions: a Ti-rich solid growing through an Ag-rich liquid film develops a branched seaweed or dendritic structure whose side branches coalesce to form handles, generating a high-genus bicontinuous topology. A sharp-interface theory predicts a solidification-front velocity and an initial ligament width that are constant in time, in contrast to liquid metal dealloying; subsequent $t^{1/3}$ coarsening reproduces the experimentally observed final ligament width.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The manuscript claims that bicontinuous structures formed during peritectic melting of Ti-Ag arise from a three-dimensional morphological instability during liquid film migration. Phase-field simulations demonstrate a Ti-rich solid advancing through an Ag-rich liquid film that develops branched seaweed or dendritic morphologies; side-branch coalescence generates handles and high-genus topology. A sharp-interface theory is derived that predicts time-independent solidification-front velocity and initial ligament width (in contrast to liquid-metal dealloying), followed by t^{1/3} coarsening that reproduces the experimentally observed final ligament width.

Significance. If the phase-field results and sharp-interface predictions are quantitatively validated, the work supplies a mechanistic explanation for bicontinuous microstructure formation that is distinct from liquid-metal dealloying and rests on a combination of simulation and analytic theory rather than fitted parameters. This could open new processing routes for porous or high-surface-area materials in peritectic systems.

major comments (1)
  1. [Phase-field results and comparison to theory] The phase-field simulations are asserted to produce a genuine 3D morphological instability whose branch coalescence yields the high-genus topology, yet no explicit comparison of simulated front velocity or initial ligament width against the sharp-interface theory is reported. This verification is load-bearing for the central claim that the observed structures originate from the instability rather than from interface kinetics, solute trapping, or grid effects.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for identifying this important point. We address the major comment below and will incorporate the requested comparison in the revised manuscript.

read point-by-point responses

  1. Referee: [Phase-field results and comparison to theory] The phase-field simulations are asserted to produce a genuine 3D morphological instability whose branch coalescence yields the high-genus topology, yet no explicit comparison of simulated front velocity or initial ligament width against the sharp-interface theory is reported. This verification is load-bearing for the central claim that the observed structures originate from the instability rather than from interface kinetics, solute trapping, or grid effects.

    Authors: We agree that an explicit, quantitative comparison between the phase-field results and the sharp-interface theory is necessary to substantiate the central claim. In the revised manuscript we will add a dedicated subsection (and associated figure) that directly extracts the solidification-front velocity and the initial ligament width from multiple phase-field runs and compares these values to the analytic predictions. This addition will also include a brief discussion of how the chosen interface thickness and grid resolution were verified to lie in the sharp-interface limit, thereby addressing possible concerns about kinetics or discretization artifacts. revision: yes

Circularity Check

0 steps flagged

No circularity: sharp-interface predictions and standard coarsening are independent of fitted data

full rationale

The derivation uses phase-field simulations to identify the 3D instability mechanism (branching and handle formation), then invokes an independent sharp-interface analysis to predict constant front velocity and initial ligament width. The subsequent application of the known t^{1/3} coarsening law to reach the final observed width does not reduce any claimed prediction to a fit performed on the target data; the initial width is obtained from the theory rather than adjusted to match experiment. No self-definitional loops, fitted-input-as-prediction, or load-bearing self-citations appear in the provided chain.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available; no specific free parameters, axioms, or invented entities can be identified from the provided information.

pith-pipeline@v0.9.1-grok · 5629 in / 1184 out tokens · 40217 ms · 2026-06-29T21:37:11.095604+00:00 · methodology

discussion (0)

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