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Main Authors: Wolf, Moritz, Schweers, Sören, Maass, Philipp
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.18280
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author Wolf, Moritz
Schweers, Sören
Maass, Philipp
author_facet Wolf, Moritz
Schweers, Sören
Maass, Philipp
contents Particle currents flowing against an external driving are a fascinating phenomenon in both single-particle and interacting many-particle systems. Underlying physical mechanisms of such current reversals are not fully understood yet. Predicting their appearance is difficult, in particular for interaction-induced ones that emerge upon changes of the particle density. We here derive conditions on external time-dependent drivings, under which current reversals occur in lattice gases with arbitrary pair interactions. Our derivation is based on particle-hole symmetry and shows that current reversals must emerge if the time-varying driving potential changes sign after a translation in time and/or space. Our treatment includes nonstationary dynamics and time-dependent spatially averaged currents in nonequilibrium steady states. It gives insight also into possible occurrences of current reversals in continuous-space dynamics, which we demonstrate for hardcore interacting particles driven across a periodic potential by a traveling wave.
format Preprint
id arxiv_https___arxiv_org_abs_2512_18280
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Current reversals in driven lattice gases and Brownian motion
Wolf, Moritz
Schweers, Sören
Maass, Philipp
Statistical Mechanics
Particle currents flowing against an external driving are a fascinating phenomenon in both single-particle and interacting many-particle systems. Underlying physical mechanisms of such current reversals are not fully understood yet. Predicting their appearance is difficult, in particular for interaction-induced ones that emerge upon changes of the particle density. We here derive conditions on external time-dependent drivings, under which current reversals occur in lattice gases with arbitrary pair interactions. Our derivation is based on particle-hole symmetry and shows that current reversals must emerge if the time-varying driving potential changes sign after a translation in time and/or space. Our treatment includes nonstationary dynamics and time-dependent spatially averaged currents in nonequilibrium steady states. It gives insight also into possible occurrences of current reversals in continuous-space dynamics, which we demonstrate for hardcore interacting particles driven across a periodic potential by a traveling wave.
title Current reversals in driven lattice gases and Brownian motion
topic Statistical Mechanics
url https://arxiv.org/abs/2512.18280