Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1970)
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Table of contents (7 chapters)
Keywords
About this book
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.
Authors, Editors and Affiliations
Bibliographic Information
Book Title: Methods of Contemporary Mathematical Statistical Physics
Authors: Marek Biskup, Anton Bovier, Frank Hollander, Dima Ioffe, Fabio Martinelli, Karel Netočný, Fabio Toninelli
Editors: Roman Kotecký
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-92796-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Softcover ISBN: 978-3-540-92795-2Published: 27 March 2009
eBook ISBN: 978-3-540-92796-9Published: 31 July 2009
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 350
Topics: Probability Theory and Stochastic Processes, Theoretical, Mathematical and Computational Physics, Solid Mechanics, Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences