Representation of Nonequilibrium Steady States in Large Mechanical Systems |
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Authors: | Teruhisa S Komatsu Naoko Nakagawa Shin-Ichi Sasa and Hal Tasaki |
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Institution: | (1) Department of Physics, Gakushuin University, Mejiro, Toshima-ku, Tokyo 171-8588, Japan;(2) College of Science, Ibaraki University, Mito, Ibaraki 310-8512, Japan;(3) Department of Pure and Applied Sciences, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan |
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Abstract: | Recently a novel concise representation of the probability distribution of heat conducting nonequilibrium steady states was
derived. The representation is valid to the second order in the “degree of nonequilibrium”, and has a very suggestive form
where the effective Hamiltonian is determined by the excess entropy production. Here we extend the representation to a wide
class of nonequilibrium steady states realized in classical mechanical systems where baths (reservoirs) are also defined in
terms of deterministic mechanics. The present extension covers such nonequilibrium steady states with a heat conduction, with
particle flow (maintained either by external field or by particle reservoirs), and under an oscillating external field. We
also simplify the derivation and discuss the corresponding representation to the full order. |
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Keywords: | Nonequilibrium steady state Probability distribution Excess entropy production |
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