Correlation functions near instabilities in systems driven by parametric noise |
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Authors: | J Casademunt A Hernández-Machado |
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Institution: | (1) Department of Applied Physics, Osaka University, 565 Suita, Osaka, Japan |
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Abstract: | For a quantum system weakly coupled to heat reservoirs, a statistical mechanical theory is developed in a formalism that dovetails perfectly with phenomenological thermodynamics. The present model is a modification of the many-reservoir model by Bergmann and Lebowitz. The method to be used here is based on the explicit introduction of external forces which bring about a deviation from equilibrium. These forces are assumed to arise from mechanical interaction with its surrounding which can be characterized thermodynamically. By an appropriate choice of reservoirs the Liouville-von Neumann equation is found to describe a heat conducting system. The nonequilibrium density matrices which describe such a system are found explicitly for some interesting cases. With these density matrices we obtain an expression for entropy production. |
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