Statistical Mechanics: A Selective Review of Two Central Issues

Details Statistical Mechanics: A Selective Review of Two Central Issues Statistical Mechanics: A Selective Review of Two Central Issues

2000-10-17

arxiv.org/abs/math-ph/0010018v1

Reviews of Modern Physics, 71, (1999), S346

Physics

Mathematical Physics

36 pages, in TeX, 1 figure, e-mail address: lebowitz@sakharov.rutgers.edu

Scientific paper

10.1103/RevModPhys.71.S346

I give a highly selective overview of the way statistical mechanics explains the microscopic origins of the time asymmetric evolution of macroscopic systems towards equilibrium and of first order phase transitions in equilibrium. These phenomena are emergent collective properties not discernible in the behavior of individual atoms. They are given precise and elegant mathematical formulations when the ratio between macroscopic and microscopic scales becomes very large.

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