zbMATH — the first resource for mathematics

Large deviations and statistical mechanics. (English) Zbl 0567.60031
Particle systems, random media and large deviations, Proc. Conf., Bowdoin Coll. 1984, Contemp. Math. 41, 101-123 (1985).
[For the entire collection see Zbl 0562.00006.]
This paper surveys some of the recent work on large deviations, due in the main to M. D. Donsker and S. R. S. Varadhan [e.g. Commun. Pure Appl. Math. 36, 183-212 (1983; Zbl 0512.60068)], and its application to models in statistical mechanics. The author has written a book [Entropy, large deviations and statistical mechanics, Springer (1985)] dealing with these matters in greater detail and this paper is intended to highlight some of the main topics in this book.
Reviewer: J.D.Biggins

60F10 Large deviations
82B05 Classical equilibrium statistical mechanics (general)