Steady state statistics of driven diffusions

Christian Maes; Karel Netocny; Bram Wynants

doi:10.1016/j.physa.2008.01.097

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arXiv · 0708.0489

Steady state statistics of driven diffusions

Christian Maes·Karel Netocny·Bram Wynants

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Abstract

We consider overdamped diffusion processes driven out of thermal equilibrium and we analyze their dynamical steady fluctuations. We discuss the thermodynamic interpretation of the joint fluctuations of occupation times and currents; they incorporate respectively the time-symmetric and the time-antisymmetric sector of the fluctuations. We highlight the canonical structure of the joint fluctuations. The novel concept of traffic complements the entropy production for the study of the occupation statistics. We explain how the occupation and current fluctuations get mutually coupled out of equilibrium. Their decoupling close-to-equilibrium explains the validity of entropy production principles.

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Christian Maes, Karel Netocny, Bram Wynants. 2007-11-09. Steady state statistics of driven diffusions. https://doi.org/10.1016/j.physa.2008.01.097

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