Methods of Contemporary Mathematical Statistical Physics (Lecture Notes in Mathematics, 1970)

Biskup, Marek; Bovier, Anton; Den Hollander, Frank; Ioffe, Dima; Martinelli, Fabio; Netocný, Karel; Toninelli, Christina

ISBN 10: 3540927956 / ISBN 13: 9783540927952

Published by Springer, 2009

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Bibliographic Details

• Title: Methods of Contemporary Mathematical Statistical Physics (Lecture Notes in Mathematics, 1970)
• Publisher: Springer
• Publication Date: 2009
• Language: English
• ISBN 10: 3540927956
• ISBN 13: 9783540927952
• Binding: Soft cover
• Condition: New

About this title

Synopsis

This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. It presents new results on phase transitions for gradient lattice models.

From the Back Cover

This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools.
An introductory chapter on lattice spin models is useful as a background for other lectures of the collection.
The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers.
A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed.
A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.