Entropic pulling and diffusion diode in an Itô process

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Hauptverfasser: Sharma, Mayank, Bhattacharyay, A.
Format: Preprint
Veröffentlicht: 2024
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author Sharma, Mayank
Bhattacharyay, A.
author_facet Sharma, Mayank
Bhattacharyay, A.
contents Biological environments at micrometer scales and below are often crowded, and experience incessant stochastic thermal fluctuations. The presence of membranes/pores, and multiple biological entities in a constricted space can make the damping/diffusion inhomogeneous. This effect of inhomogeneity is presented by the diffusion becoming coordinate-dependent. In this paper, we analyze the consequence of inhomogeneity-induced coordinate-dependent diffusion on Brownian systems in thermal equilibrium under the Itô's interpretation. We argue that the presence of coordinate-dependent diffusion under Itô's formulation gives rise to an effective diffusion potential (and, equivalently an entropy) that can have substantial contribution to system's transport. This emergent force when looked at as of entropic origin it provides a physical basis of the notion of the entropic pulling postulated in the context of working of some biological systems.
format Preprint
id arxiv_https___arxiv_org_abs_2404_02667
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Entropic pulling and diffusion diode in an Itô process
Sharma, Mayank
Bhattacharyay, A.
Statistical Mechanics
Mesoscale and Nanoscale Physics
Soft Condensed Matter
Biological environments at micrometer scales and below are often crowded, and experience incessant stochastic thermal fluctuations. The presence of membranes/pores, and multiple biological entities in a constricted space can make the damping/diffusion inhomogeneous. This effect of inhomogeneity is presented by the diffusion becoming coordinate-dependent. In this paper, we analyze the consequence of inhomogeneity-induced coordinate-dependent diffusion on Brownian systems in thermal equilibrium under the Itô's interpretation. We argue that the presence of coordinate-dependent diffusion under Itô's formulation gives rise to an effective diffusion potential (and, equivalently an entropy) that can have substantial contribution to system's transport. This emergent force when looked at as of entropic origin it provides a physical basis of the notion of the entropic pulling postulated in the context of working of some biological systems.
title Entropic pulling and diffusion diode in an Itô process
topic Statistical Mechanics
Mesoscale and Nanoscale Physics
Soft Condensed Matter
url https://arxiv.org/abs/2404.02667