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Disorder-Induced Anomalous Mobility Enhancement in Confined Geometries

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Dan Shafir, Stanislav Burov

Statistical Mechanics · Submitted 4 Mar 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Specifically, in a $2$-dimensional channel with width $w$, under external drive, tighter geometrical constraints (smaller $w$) enhance mobility.

how it is stated · asserted 1.00 read the record →

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arXiv ID2403.01665 (version 1)
Pith IDBMMZNCLX, Pith's permanent record of this paper and its review
CitationDan Shafir, Stanislav Burov. "Disorder-Induced Anomalous Mobility Enhancement in Confined Geometries." arXiv:2403.01665 (2024). https://pith.science/paper/BMMZNCLX
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,300 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.15 · human participants 0.02 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.25 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

Strong, scale-free disorder disrupts typical transport properties like the Stokes-Einstein relation and linear response, leading to anomalous, non-diffusive motion observed in amorphous materials, glasses, living cells, and other systems. Our study reveals that the combination of scale-free quenched disorder and geometrical constraints induces unconventional single particle mobility behavior. Specifically, in a $2$-dimensional channel with width $w$, under external drive, tighter geometrical constraints (smaller $w$) enhance mobility. We derive an explicit form of the response to an external force by utilizing the double-subordination approach for the quenched trap model. The observed mobility enhancement occurs in the low-temperature regime where the distribution of localization times is scale-free.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 Strong, scale-free disorder disrupts typical transport properties like the Stokes-Einstein relation and linear response, leading to anomalous, non-diffusive motion observed in amorphous materials, glasses, living cells, and other systems. background 1.00 0.06 0.05 asserted 1.00
s1 Our study reveals that the combination of scale-free quenched disorder and geometrical constraints induces unconventional single particle mobility behavior. contribution 0.55 0.95 0.70 asserted 1.00
s2 Specifically, in a $2$-dimensional channel with width $w$, under external drive, tighter geometrical constraints (smaller $w$) enhance mobility. result 1.00 0.91 0.74 asserted 1.00
s3 We derive an explicit form of the response to an external force by utilizing the double-subordination approach for the quenched trap model. method 1.00 0.95 0.05 asserted 1.00
s4 The observed mobility enhancement occurs in the low-temperature regime where the distribution of localization times is scale-free. result 0.94 0.87 0.13 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.96.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

Strong, scale-free disorder disrupts typical transport properties like the Stokes-Einstein relation and linear response, leading to anomalous, non-diffusive motion observed in amorphous materials, glasses, living cells, and other systems. Our study reveals that the combination of scale-free quenched disorder and geometrical constraints induces unconventional single particle mobility behavior. Specifically, in a $2$-dimensional channel with width $w$, under external drive, tighter geometrical constraints (smaller $w$) enhance mobility. We derive an explicit form of the response to an external force by utilizing the double-subordination approach for the quenched trap model. The observed mobility enhancement occurs in the low-temperature regime where the distribution of localization times is scale-free.

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites

Cites as background 1 paper

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