LEADER 03255nam 2200613Ia 450 001 9910484216103321 005 20200520144314.0 010 $a1-280-38429-8 010 $a9786613562210 010 $a3-540-92796-4 024 7 $a10.1007/978-3-540-92796-9 035 $a(CKB)1000000000761201 035 $a(SSID)ssj0000318921 035 $a(PQKBManifestationID)11255724 035 $a(PQKBTitleCode)TC0000318921 035 $a(PQKBWorkID)10311984 035 $a(PQKB)11007047 035 $a(DE-He213)978-3-540-92796-9 035 $a(MiAaPQ)EBC3064449 035 $a(PPN)139950338 035 $a(EXLCZ)991000000000761201 100 $a20090302d2009 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aMethods of contemporary mathematical statistical physics /$fMarek Biskup ... [et al.] ; Editor, Roman Kotecky 205 $a1st ed. 2009. 210 $aBerlin $cSpringer$dc2009 215 $a1 online resource (X, 350 p. 17 illus.) 225 0 $aLecture notes in mathematics ;$v1970 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-92795-6 320 $aIncludes bibliographical references and index. 327 $aReflection 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. 330 $aThis volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. An introductory chapter on lattice spin models is useful as a background for other lectures of the collection. The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers. A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed. A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1970 606 $aMathematical physics 606 $aStatistical mechanics 606 $aStatistical physics 615 0$aMathematical physics. 615 0$aStatistical mechanics. 615 0$aStatistical physics. 676 $a530.15 701 $aBiskup$b Marek$0321230 701 $aKotecky$b R$g(Roman)$044798 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484216103321 996 $aMethods of contemporary mathematical statistical physics$94184326 997 $aUNINA