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

Biskup, Marek

 
9783540927952: Methods of Contemporary Mathematical Statistical Physics (Lecture Notes in Mathematics, Band 1970)

Inhaltsangabe

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.

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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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9783540937784: Methods of Contemporary Mathematical Statistical Physics

Vorgestellte Ausgabe

ISBN 10:  3540937781 ISBN 13:  9783540937784
Verlag: Springer, 2009
Softcover