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Methods of Contemporary Mathematical Statistical Physics: Lecture Notes in Mathematics, cartea 1970

Autor Marek Biskup Editat de Roman Kotecký Autor Anton Bovier, Frank den Hollander, Dima Ioffe, Fabio Martinelli, Karel Netocný, Christina Toninelli
en Limba Engleză Paperback – 27 mar 2009

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Specificații

ISBN-13: 9783540927952
ISBN-10: 3540927956
Pagini: 364
Ilustrații: X, 350 p.
Dimensiuni: 155 x 235 x 19 mm
Greutate: 0.51 kg
Ediția:2009
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Reflection Positivity and Phase Transitions in Lattice Spin Models.- Stochastic Geometry of Classical and Quantum Ising Models.- Localization Transition in Disordered Pinning Models.- Metastability.- Three Lectures on Metastability Under Stochastic Dynamics.- A Selection of Nonequilibrium Issues.- Facilitated Spin Models: Recent and New Results.

Textul de pe ultima copertă

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.

Caracteristici

Includes supplementary material: sn.pub/extras