04865nam 22007935 450 99646647730331620200706053034.01-280-38429-897866135622103-540-92796-410.1007/978-3-540-92796-9(CKB)1000000000761201(SSID)ssj0000318921(PQKBManifestationID)11255724(PQKBTitleCode)TC0000318921(PQKBWorkID)10311984(PQKB)11007047(DE-He213)978-3-540-92796-9(MiAaPQ)EBC3064449(PPN)139950338(EXLCZ)99100000000076120120100301d2009 u| 0engurnn#008mamaatxtccrMethods of Contemporary Mathematical Statistical Physics[electronic resource] /by Marek Biskup, Anton Bovier, Frank den Hollander, Dima Ioffe, Fabio Martinelli, Karel Netocný, Christina Toninelli ; edited by Roman Kotecký1st ed. 2009.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2009.1 online resource (X, 350 p. 17 illus.)Lecture Notes in Mathematics,0075-8434 ;1970Bibliographic Level Mode of Issuance: Monograph3-540-92795-6 Includes bibliographical references and index.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.Lecture Notes in Mathematics,0075-8434 ;1970ProbabilitiesMathematical physicsMechanicsMechanics, AppliedStatistics Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/S17020Probabilities.Mathematical physics.Mechanics.Mechanics, Applied.Statistics .Probability Theory and Stochastic Processes.Theoretical, Mathematical and Computational Physics.Solid Mechanics.Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.530.15Biskup Marekauthttp://id.loc.gov/vocabulary/relators/aut321230Bovier Antonauthttp://id.loc.gov/vocabulary/relators/autden Hollander Frankauthttp://id.loc.gov/vocabulary/relators/autIoffe Dimaauthttp://id.loc.gov/vocabulary/relators/autMartinelli Fabioauthttp://id.loc.gov/vocabulary/relators/autNetocný Karelauthttp://id.loc.gov/vocabulary/relators/autToninelli Christinaauthttp://id.loc.gov/vocabulary/relators/autKotecký Romanedthttp://id.loc.gov/vocabulary/relators/edtBOOK996466477303316Methods of contemporary mathematical statistical physics230299UNISA