an:05883229
Zbl 1225.60001
Georgii, Hans-Otto
Gibbs measures and phase transitions. 2nd extended ed
EN
De Gruyter Studies in Mathematics 9. Berlin: de Gruyter (ISBN 978-3-11-025029-9/hbk; 978-3-11-025032-9/ebook). xix, 545~p. (2011).
00375224
2011
b
60-02 82-02 82B26 60K35
mathematical theory of phase transition; statistical mechanics; lattice models of classical equilibrium statistical mechanics; Gibbs measure; symmetry breaking; extreme point decompositions; Gaussian fields as Gibbs measures; entropy; breaking of rotational symmetries; pair potential; large deviations
This is the second edition of the fundamental monograph by \textit{H.-O. Georgii} [Gibbs measures and phase transitions. Berlin etc.: Walter de Gruyter (1988; Zbl 0657.60122)]. Apart from corrections and some small adjustments most parts of the book remain unchanged except for two new sections: the first one on large deviations for Gibbs measures and the free minimum free energy principle; whereas the second one gives a brief overview of developments in the field since the first edition was published.
In its new edition, the text remains a standard reference for the expert as well as a nicely written introduction to this fascinating subject.
H. M. Mai (Berlin)
Zbl 0657.60122