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Preprint · November 6, 2012

Entropy production in Gaussian thermostats

N. S. Dairbekov, Gabriel, P. Paternain

Abstract

Abstract. We show that an arbitrary Anosov Gaussian thermostat on a surface is dissipative unless the external field has a global potential. This result is obtained by studying the cohomological equation of more general thermostats using the methods in [3]. 1.

Mathematical Dynamics and FractalsAdvanced Thermodynamics and Statistical MechanicsAdvanced Differential Equations and Dynamical Systemsentropy productionGaussian thermostatAnosov flows

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