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Science/Engineering Methods of Contemporary Mathematical Statistical Physics

Posted on 2010-03-16




Name:Science/Engineering Methods of Contemporary Mathematical Statistical Physics
ASIN/ISBN:3540927956
Language:English
File size:2.3 Mb
Publish Date: 2009
ISBN: 3540927956
Pages: 345 pages
File Type: PDF
File Size: 2,3 MB
Other Info: Springer
   Science/Engineering Methods of Contemporary Mathematical Statistical Physics

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Marek Biskup, Anton Bovier, Frank den Hollander, Dima Ioffe, Fabio Martinelli, Karel Netocný, Fabio Toninelli, "Methods of Contemporary Mathematical Statistical Physics"

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.

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