Anomalous transport phenomenon of a charged Brownian particle under the thermal gradient and the magnetic field

TL;DR

This paper investigates the unusual transport behavior of charged Brownian particles in a magnetic field with a temperature gradient, revealing a Nernst-like current caused by complex force and noise interactions.

Contribution

It introduces a novel analysis of stationary transport phenomena of charged particles under combined magnetic and thermal gradients, highlighting the emergence of perpendicular density currents.

Findings

Existence of Nernst-like stationary density current

Current is perpendicular to both temperature gradient and magnetic field

Coupling between non-conserved forces and multiplicative noise drives the phenomenon

Abstract

There is a growing interest in the stochastic processes of nonequilibrium systems subject to non-conserved forces, such as the magnetic forces acting on charged particles and the chiral self-propelled force acting on active particles. In this paper, we consider the stationary transport of non-interacting Brownian particles under a constant magnetic field in a position-dependent temperature background. We demonstrate the existence of the Nernst-like stationary density current perpendicular to both the temperature gradient and magnetic field, induced by the intricate coupling between the non-conserved force and the multiplicative noises due to the position-dependent temperature.