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arXiv · 0712.2839

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

D. O. Soares-Pinto·W. A. M. Morgado
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Abstract

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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D. O. Soares-Pinto, W. A. M. Morgado. 2007-12-17. Exact time-average distribution for a stationary non-Markovian massive Brownian particle coupled to two heat baths. https://doi.org/10.1103/physreve.77.011103

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