Weekly seminars
Asymmetric Exclusion Process and out-of-equilibrium Statistical Physics
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Europe/Paris
Auditorium (Annecy-le-Vieux)
Auditorium
Annecy-le-Vieux
Description
The steady state of a system kept away from equilibrium cannot be described by the basic laws of thermodynamics and statistical physics. Today, there exists no general theory for systems out-of-equilibrium: there isn’t any macroscopic description from state functions (which should replace the entropy or the free energy), nor a combinatorial prin- ciple at microscopic scale (which would generalize the Boltzmann law and the partition function).
However, it seems that for an out-of-equilibrium system, some mathematical quanti- ties, called functions of large deviations, could play a role similar to the thermodynamical potential. These functions of large deviations obey some remarkable symmetry relations (due in particular to Gallavotti, Cohen, and Jarzynski) that generalize, away from equi- librium, Einstein and Onsager relations (valid only at equilibrium).
The purpose of this talk is to present some of these concepts illustrating them from exact solutions obtained in a mathematical model, the Asymmetric Exclusion Process considered the paradigm of out-of-equilibrium Statistical Physics.