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Fractionation by persistent random walk and two-coefficient diffusion law

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

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.

Suggested Citation

  • Kim, Ho-Youn & Kim, Min-Yoo & Kim, Yong-Jung, 2025. "Fractionation by persistent random walk and two-coefficient diffusion law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
    • Handle: RePEc:eee:phsmap:v:674:y:2025:i:c:s037843712500370x
    DOI: 10.1016/j.physa.2025.130718
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