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Nonlinear transport and dynamics of fluctuations
Authors:Hermann Grabert
Affiliation:(1) Institut für Theoretische Physik, Universität Stuttgart, Germany;(2) Present address: Department of Physics, Temple University, Philadelphia, Pennsylvania
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.
Keywords:Macrovariables  relaxation and fluctuation  nonlinear transport equation  generalized Langevin equation  projection operator technique  fluctuation-dissipation theorem
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