title: Two-temperature Langevin dynamics in a parabolic potential.
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 nontrivial particle position distribution, P(x,y), which we determine explicitly. We show that this distribution corresponds to a nonequilibrium stationary state, characterized by the presence of space-dependent particle currents which exhibit a nonzero rotor. Theoretical results are confirmed by the numerical simulations.
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600), Université Pierre et Marie Curie (Paris 6), 4 Place Jussieu, 75252 Paris, France.
authors.forename: Victor
authors.initials: V
authors.lastname: Dotsenko
authors.forename: Anna
authors.initials: A
authors.lastname: Maciołek
authors.forename: Oleg
authors.initials: O
authors.lastname: Vasilyev
authors.forename: Gleb
authors.initials: G
authors.lastname: Oshanin