Representation of Nonequilibrium Steady States in Large Mechanical Systems |
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Authors: | Teruhisa S. Komatsu Naoko Nakagawa Shin-Ichi Sasa Hal Tasaki |
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Affiliation: | (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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