Asymptotic Behavior of Thermal Nonequilibrium Steady States for a Driven Chain of Anharmonic Oscillators
Copyright policy )Asymptotic Behavior of Thermal Nonequilibrium Steady States for a Driven Chain of Anharmonic Oscillators
We consider a model of heat conduction which consists of a finite nonlinear chain coupled to two heat reservoirs at different temperatures. We study the low temperature asymptotic behavior of the invariant measure. We show that, in this limit, the invariant measure is characterized by a variational principle. We relate the heat flow to the variational principle. The main technical ingredient is an extension of Freidlin-Wentzell theory to a class of degenerate diffusions.
40 pages
- University of Virginia United States
- University of Massachusetts Amherst United States
- Department of mathematics University of Virginia United States
- Rutgers, The State University of New Jersey United States
Statistical Mechanics (cond-mat.stat-mech), Probability (math.PR), FOS: Physical sciences, Mathematical Physics (math-ph), Nonlinear Sciences - Chaotic Dynamics, Classical dynamic and nonequilibrium statistical mechanics (general), Physical Sciences and Mathematics, FOS: Mathematics, Chaotic Dynamics (nlin.CD), Other physical applications of random processes, Mathematical Physics, Condensed Matter - Statistical Mechanics, Mathematics - Probability, 82C05
Statistical Mechanics (cond-mat.stat-mech), Probability (math.PR), FOS: Physical sciences, Mathematical Physics (math-ph), Nonlinear Sciences - Chaotic Dynamics, Classical dynamic and nonequilibrium statistical mechanics (general), Physical Sciences and Mathematics, FOS: Mathematics, Chaotic Dynamics (nlin.CD), Other physical applications of random processes, Mathematical Physics, Condensed Matter - Statistical Mechanics, Mathematics - Probability, 82C05
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