Exact time-average distribution for a stationary non-Markovian massive Brownian particle coupled to two heat baths

Details Exact time-average distribution for a stationary non-Markovian massive Brownian particle coupled to two heat baths Exact time-average distribution for a stationary non-Markovian massive Brownian particle coupled to two heat baths

2007-12-17

arxiv.org/abs/0712.2839v1

Phys. Rev. E 77, 011103 (2008)

Physics

Condensed Matter

Statistical Mechanics

accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.77.011103

Using a time-averaging technique we obtain exactly the probability distribution for position and velocity of a Brownian particle under the influence of two heat baths at different temperatures. These baths are expressed by a white noise term, representing the fast dynamics, and a colored noise term, representing the slow dynamics. Our exact solution scheme accounts for inertial effects, that are not present in approaches that assume the Brownian particle in the over-damped limit. We are also able to obtain the contribution associated with the fast noise that are usually neglected by other approaches.

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