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＜電子ブック＞
Methods of Contemporary Mathematical Statistical Physics / by Marek Biskup, Anton Bovier, Frank den Hollander, Dima Ioffe, Fabio Martinelli, Karel Netocný, Christina Toninelli ; edited by Roman Kotecký
(Lecture Notes in Mathematics. ISSN:16179692 ; 1970)

版	1st ed. 2009.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	X, 350 p : online resource
著者標目	*Biskup, Marek author Bovier, Anton author den Hollander, Frank author Ioffe, Dima author Martinelli, Fabio author Netocný, Karel author Toninelli, Christina author Kotecký, Roman editor SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical physics LCSH:Mechanics, Applied LCSH:Solids LCSH:Statistics  FREE:Probability Theory FREE:Theoretical, Mathematical and Computational Physics FREE:Solid Mechanics FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-3-540-92796-9

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