Boltzmann's Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems

Details Boltzmann's Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems Boltzmann's Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems

2011-12-07

arxiv.org/abs/1112.1667v1

Physics

Mathematical Physics

Scientific paper

I give a brief overview of the resolution of the apparent problem of
reconciling time symmetric microscopic dynamic with time asymmetric equations
describing the evolution of macroscopic variables. I then show how the large
deviation function of the stationary state of the microscopic system can be
used as a Lyapunov function for the macroscopic evolution equations.

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