ENGLISH

Methods of Contemporary Mathematical Statistical Physics

By Fabio Martinelli , Anton Bovier , Frank Den Hollander , Marek Biskup , Dima Ioffe , Karel Netočný , Fabio Toninelli , Roman Kotecký (Editor)

Book information

Publisher
Springer
Year
2009
ISBN
3540927956, 9783540927952, 9783540927969
DOI
10.1007/978-3-540-92796-9
ISSN
0075-8434
LCC
QC174.8 .M44 2009
Language
english
Format
PDF
Filesize
2 MB (2327469 bytes)
Series
Lecture Notes in Mathematics 1970
Edition
1
Pages
350\356
Library
Kolxo3
Time added
2009-12-04 00:34:26
Chemistry &GeosciencesComputer SciencePhysicsProbability Theory and Stochastic Processes;Mathem

Description

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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