Boltzmann's Approach to Statistical Mechanics
By Sheldon Goldstein. 2001
241 citations recorded by the source corpus.
In the last quarter of the nineteenth century, Ludwig Boltzmann explained how irreversible macroscopic laws, in particular the second law of thermodynamics, originate in the time-reversible laws of microscopic physics. Boltzmann’s analysis, the essence of which I shall review here, is basically correct. The most famous criticisms of Boltzmann’s later work on the subject have little merit. Most twentieth century innovations —such as the identification of the state of a physical system with a probability distribution (o on its phase space, of its thermodynamic entropy with the Gibbs entropy of (o, and the invocation of the notions of ergodicity and mixing for the justification of the foundations of statistical mechanics—are thoroughly misguided.
Subfields: Biomedical Engineering, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/0ca28317df8c310288390e2a750bab4561ebf199
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In Biomedical Engineering
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Citations in the corpus
- Who’s Afraid of Nagelian Reduction? (2010, unknown): “80–88), and has then been developed by Churchland (1985, 1989), Hooker (1981), and Bickle (1996, 1998).”
- Time-Reversal and Entropy (2002, unknown): “1email: christian.maes@fys.kuleuven.ac.be 1 2”
- A Field Guide to Recent Work on the Foundations of Statistical Mechanics. (2008, background): “and α i ∩ α j = ⊘ for all i = j and i, j = 1, ..., k. 13 Goldstein (2001) (43), Goldstein and Lebowitz (2004) (57), Lebowitz (1993a, 34; 1993b, 5; 1999, 348).”