A selection of nonequilibrium issues

Details A selection of nonequilibrium issues A selection of nonequilibrium issues

2007-01-16

arxiv.org/abs/math-ph/0701047v1

Lect. Notes Math. 1970 (2009) 247 - 306

Physics

Mathematical Physics

Lecture notes from the 5th Prague Summer School on Mathematical Statistical Mechanics (2006), 55 pages

Scientific paper

10.1007/978-3-540-92796-9

We give a pedagogical introduction to a selection of recently discussed topics in nonequilibrium statistical mechanics, concentrating mostly on formal structures and on general principles. Part I contains an overview of the formalism of lattice gases that we use to explain various symmetries and inequalities generally valid for nonequilibrium systems, including the fluctuation symmetry, Jarzynski equality, and the direction of currents. In Part II we concentrate on the macroscopic state and how entropy provides a bridge between microscopic dynamics and macroscopic irreversibility; included is a construction of quantum macroscopic states and a result on the equivalence of ensembles.

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