Fluctuation relations for a driven Brownian particle

Abstract

We consider a driven Brownian particle, subject to both conservative and non-conservative applied forces, whose probability evolves according to the Kramers equation. We derive a general fluctuation relation, expressing the ratio of the probability of a given Brownian path in phase space with that of the time-reversed path, in terms of the entropy flux to the heat reservoir. This fluctuation relation implies those of Seifert, Jarzynski and Gallavotti-Cohen in different special cases.

References in corpus (2)

• Work probability distribution in systems driven out of equilibrium
• Work distribution and path integrals in general mean-field systems

Cited by in corpus (8)

• The large deviation approach to statistical mechanics
• Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments
• Onsager-Machlup theory for nonequilibrium steady states and fluctuation theorems
• Bound particle coupled to two thermostats
• Heat distribution function for motion in a general potential at low temperature
• Work and heat probability distributions in out-of-equilibrium systems
• Total entropy production fluctuation theorems in a nonequilibrium time-periodic steady state
• Fluctuations, Responses and Energetics of Molecular Motors