Lecture Notes in Mathematics

Methods of Contemporary Mathematical Statistical Physics

Authors: Biskup, M., Bovier, A., den Hollander, F., Ioffe, D., Martinelli, F., Netocný, K., Toninelli, C.

Editors: Kotecký, Roman (Ed.)

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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.

Table of contents (7 chapters)

  • Reflection Positivity and Phase Transitions in Lattice Spin Models

    Biskup, Marek

    Pages 1-86

  • Stochastic Geometry of Classical and Quantum Ising Models

    Ioffe, Dmitry

    Pages 1-41

  • Localization Transition in Disordered Pinning Models

    Lucio Toninelli, Fabio

    Pages 1-48

  • Metastability

    Bovier, Anton

    Pages 1-45

  • Three Lectures on Metastability Under Stochastic Dynamics

    Hollander, Frank den

    Pages 1-24

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-3-540-92796-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
  • ISBN 978-3-540-92795-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Methods of Contemporary Mathematical Statistical Physics
Authors
Editors
  • Roman Kotecký
Series Title
Lecture Notes in Mathematics
Series Volume
1970
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-92796-9
DOI
10.1007/978-3-540-92796-9
Softcover ISBN
978-3-540-92795-2
Series ISSN
0075-8434
Edition Number
1
Number of Pages
X, 350
Number of Illustrations and Tables
17 b/w illustrations
Topics