Chapter

Equilibrium Statistical Mechanics

Phil Attard

in Non-equilibrium Thermodynamics and Statistical Mechanics

Published in print October 2012 | ISBN: 9780199662760
Published online January 2013 | e-ISBN: 9780191745287 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199662760.003.0007
Equilibrium Statistical Mechanics

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Equilibrium statistical mechanics is derived and analysed for a canonical equilibrium system at the level of phase space. The Maxwell-Boltzmann probability distribution is obtained from the expression for the reservoir entropy associated with each point in phase space. The transition probability and the corresponding stochastic equations of motion are obtained from the mixed parity formulation of the second entropy. Evolution in phase space is analysed, and irreversibility, the Fokker-Planck equation, and Liouville’s theorem are critically discussed. The trajectory probability and time correlation functions are described.

Keywords: canonical equilibrium; Maxwell-Boltzmann; transition probability; stochastic; trajectory; time correlation

Chapter.  31595 words.  Illustrated.

Subjects: Condensed Matter Physics

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