Nonlinear transport and dynamics of fluctuations |
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Authors: | Hermann Grabert |
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Affiliation: | (1) Institut für Theoretische Physik, Universität Stuttgart, Germany;(2) Present address: Department of Physics, Temple University, Philadelphia, Pennsylvania |
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Abstract: | The time evolution of the macroscopic variables of a system initially in a state far from thermal equilibrium is studied from a statistical mechanical point of view. Exact nonlinear transport equations for the mean values and linear nonstationary Langevin equations for the fluctuations around the mean path are derived. Connections between the dynamics of fluctuations and the transport equations are discussed. The Langevin random forces depend on the macroscopic state and they are related to the transport kernels by a fluctuation-dissipation formula. |
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Keywords: | Macrovariables relaxation and fluctuation nonlinear transport equation generalized Langevin equation projection operator technique fluctuation-dissipation theorem |
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