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arXiv · 1302.4056

Two-temperature Langevin dynamics in a parabolic potential

Victor Dotsenko·Anna Maciolek·Oleg Vasilyev·Gleb Oshanin
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Abstract

We study a planar two-temperature diffusion of a Brownian particle in a parabolic potential. The diffusion process is defined in terms of two Langevin equations with two different effective temperatures in the X and the Y directions. In the stationary regime the system is described by a non-trivial particle position distribution P(x,y), which we determine explicitly. We show that this distribution corresponds to a non-equilibrium stationary state, characterised by the presence of space-dependent particle currents which exhibit a non-zero rotor. Theoretical results are confirmed by the numerical simulations.

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Victor Dotsenko, Anna Maciolek, Oleg Vasilyev, Gleb Oshanin. 2013-02-21. Two-temperature Langevin dynamics in a parabolic potential. https://doi.org/10.1103/physreve.87.062130

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