Fractionation by persistent random walk and two-coefficient diffusion law

Ho-Youn Kim, Min-Yoo Kim and Yong-Jung Kim

Physica A: Statistical Mechanics and its Applications, 2025, vol. 674, issue C

Abstract: Random movement of microscopic particles in heterogeneous environments leads to fractionation phenomena, with the Soret effect being one of the most representative examples. This raises a fundamental question: what characteristics of random movement give rise to such fractionation phenomena? We investigate whether the persistence of a random-walk system has such a property and show that fractionation occurs only when the persistence is anisotropic. This is shown by investigating the convergence of a heterogeneous persistence random-walk system to a resulting anisotropic diffusion equation. Numerical simulations of the diffusion equation are compared with a Monte Carlo method and solutions to the recursive relations.

Keywords: Persistent random walk; Heterogeneous diffusion; Fractionation; Anisotropic diffusion (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:674:y:2025:i:c:s037843712500370x

DOI: 10.1016/j.physa.2025.130718

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