Foundations of Statistical Mechanics: in and out of Equilibrium

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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20 pages, lecture given at the Mochima summer school

Scientific paper

The first part of the paper is devoted to the foundations, that is the mathematical and physical justification, of equilibrium statistical mechanics. It is a pedagogical attempt, mostly based on Khinchin's presentation, which purpose is to clarify some aspects of the development of statistical mechanics. In the second part, we discuss some recent developments that appeared out of equilibrium, such as fluctuation theorem and Jarzynski equality.

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