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A Selection of Nonequilibrium Issues

  • Christian MaesEmail author
  • Karel  Netoˇcn´yEmail author
  • Bidzina Shergelashvili
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1970)

Summary

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. That mostly concerns the time-antisymmetric part of dynamical fluctuation theory.We also briefly comment on recent attempts to combine that with the time-symmetric sector in a Langrangian or extended Onsager-Machlup approach. 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.

Keywords

Entropy Production Detailed Balance Macroscopic State Nonequilibrium Statistical Mechanic Canonical State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1. Instituut voor Theoretische Fysica K. U. LeuvenBelgium
  2. 2.Institute of Physics AS CRPragueCzech Republic

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