Langevin dynamics with space-time periodic nonequilibrium forcing - Archive ouverte HAL
Article Dans Une Revue Journal of Statistical Physics Année : 2014

Langevin dynamics with space-time periodic nonequilibrium forcing

Résumé

We present results on the ballistic and diffusive behavior of the Langevin dynamics in a periodic potential that is driven away from equilibrium by a space-time periodic driving force, extending some of the results obtained by Collet and Martinez. In the hyperbolic scaling, a nontrivial average velocity can be observed even if the external forcing vanishes in average. More surprisingly, an average velocity in the direction opposite to the forcing may develop at the linear response level -- a phenomenon called negative mobility. The diffusive limit of the non-equilibrium Langevin dynamics is also studied using the general methodology of central limit theorems for additive functionals of Markov processes. To apply this methodology, which is based on the study of appropriate Poisson equations, we extend recent results on pointwise estimates of the resolvent of the generator associated with the Langevin dynamics. Our theoretical results are illustrated by numerical simulations of a two-dimensional system.

Dates et versions

hal-00957938 , version 1 (11-03-2014)

Identifiants

Citer

R. Joubaud, G. Pavliotis, Gabriel Stoltz. Langevin dynamics with space-time periodic nonequilibrium forcing. Journal of Statistical Physics, 2014, 158 (1), pp.1-36. ⟨10.1007/s10955-014-1118-4⟩. ⟨hal-00957938⟩
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