Memory-induced current reversal of Brownian motors

Fuente: arXiv
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Hauptverfasser: Wiśniewski, Mateusz, Spiechowicz, Jakub
Format: Preprint
Veröffentlicht: 2025
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author Wiśniewski, Mateusz
Spiechowicz, Jakub
author_facet Wiśniewski, Mateusz
Spiechowicz, Jakub
contents Kinetics of biological motors such as kinesin or dynein is notably influenced by viscoelastic intracellular environment. The characteristic relaxation time of the cytosol is not separable from the colloidal timescale and therefore their dynamics is inherently non-Markovian. In this paper we consider a variant of a Brownian motor model, namely a Brownian ratchet immersed in a correlated thermal bath and analyze how memory influences its dynamics. In particular, we demonstrate the memory-induced current reversal effect and explain this phenomenon by applying the effective mass approximation as well as uncovering the memory-induced dynamical localization of the motor trajectories in the phase space. Our results reveal new aspects of the role of memory in microscopic systems out of thermal equilibrium.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03932
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Memory-induced current reversal of Brownian motors
Wiśniewski, Mateusz
Spiechowicz, Jakub
Statistical Mechanics
Mesoscale and Nanoscale Physics
Soft Condensed Matter
Kinetics of biological motors such as kinesin or dynein is notably influenced by viscoelastic intracellular environment. The characteristic relaxation time of the cytosol is not separable from the colloidal timescale and therefore their dynamics is inherently non-Markovian. In this paper we consider a variant of a Brownian motor model, namely a Brownian ratchet immersed in a correlated thermal bath and analyze how memory influences its dynamics. In particular, we demonstrate the memory-induced current reversal effect and explain this phenomenon by applying the effective mass approximation as well as uncovering the memory-induced dynamical localization of the motor trajectories in the phase space. Our results reveal new aspects of the role of memory in microscopic systems out of thermal equilibrium.
title Memory-induced current reversal of Brownian motors
topic Statistical Mechanics
Mesoscale and Nanoscale Physics
Soft Condensed Matter
url https://arxiv.org/abs/2502.03932