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arXiv · 2109.01807

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

Hiromichi Matsuyama·Kunimasa Miyazaki
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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.

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Hiromichi Matsuyama, Kunimasa Miyazaki. 2021-09-04. Anomalous transport phenomenon of a charged Brownian particle under the thermal gradient and the magnetic field. https://doi.org/10.1103/physreve.104.054134

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