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The non-equilibrium thermodynamics approach to the dynamics of mesoscopic systems. (English) Zbl 1083.82025

Summary: We show that the method of nonequilibrium thermodynamics can be applied to describe the behaviour of systems defined at the meso-scale whose dynamics is mediated by the presence of fluctuations. The mesoscopic nonequilibrium thermodynamics approach we propose yields the kinetic equations for the evolution of the probability density governing the dynamics. We present applications to different mesoscopic systems undergoing linear and nonlinear transport and activated processes.

MSC:

82C35 Irreversible thermodynamics, including Onsager-Machlup theory
82C31 Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics
82C40 Kinetic theory of gases in time-dependent statistical mechanics
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