Stationary properties of a Brownian gyrator with non-Markovian baths

TL;DR

This paper explores the stationary behavior of a Brownian particle in a non-Markovian environment with two heat baths, revealing non-trivial rotational motion and effects of memory on heat and entropy production.

Contribution

It introduces a detailed analysis of a non-Markovian Brownian gyrator, highlighting how memory effects influence steady-state rotational motion and thermodynamic quantities.

Findings

Non-zero average rotational motion due to non-Markovian effects

Memory influences stochastic heat and entropy production

Markovian limit results in zero average torque

Abstract

We investigate the stochastic behavior of a two-temperature Langevin system with non-Markovian thermal reservoirs. The model describes an overdamped Brownian particle in a quadratic potential and coupled to heat baths at different temperatures. The reservoirs are characterized by Gaussian white and colored noises and a dissipation memory kernel. The stationary states present non-trivial average rotational motion influenced by stochastic torques due to harmonic, friction and fluctuating thermal forces. However, the Markovian limit leads to a vanishing average torque produced by fluctuating thermal forces. We also study the effects of memory on the stochastic heat and the entropy production in the steady-state regime.