Entropy Production in Nonlinear,Thermally Driven Hamiltonian Systems |
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Authors: | Eckmann Jean-Pierre Pillet Claude-Alain Rey-Bellet Luc |
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Institution: | (1) Section de Mathématiques, Université de Genève, CH-1211 Genève 4, Switzerland;(2) Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland;(3) PHYMAT, Université de Toulon, F-83957 La Garde Cedex, France;(4) CPT-CNRS Luminy, F-13288 Marseille Cedex 09, France;(5) Present address: Department of Mathematics, Rutgers University, Hill Center, Rutgers University, Piscataway, New Jersey, 08903 |
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Abstract: | We consider a finite chain of nonlinear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationary state, we show rigorously that for arbitrary temperature differences and arbitrary couplings, such a system has a unique stationary state. (This extends our earlier results for small temperature differences.) In all these cases, any initial state will converge (at an unknown rate) to the stationary state. We show that this stationary state continually produces entropy. The rate of entropy production is strictly negative when the temperatures are unequal and is proportional to the mean energy flux through the system |
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Keywords: | open systems nonequilibrium steady states control theory entropy production |
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