Statistical mechanics of disordered systems a mathematical perspective

This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics...

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Detalles Bibliográficos
Otros Autores: Bovier, Anton, 1957- autor (autor)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press 2006.
Colección:CUP ebooks.
Cambridge series on statistical and probabilistic mathematics ; 18.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b45425760*spi
Descripción
Sumario:This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail.
Descripción Física:1 recurso electrónico (xiv, 312 páginas)
Formato:Forma de acceso: World Wide Web.
ISBN:9780511616808