LEADER 04248nam 22007695 450 001 9910257406003321 005 20200702231706.0 010 $a3-540-48120-6 024 7 $a10.1007/BFb0016702 035 $a(CKB)1000000000233424 035 $a(SSID)ssj0000322644 035 $a(PQKBManifestationID)12131938 035 $a(PQKBTitleCode)TC0000322644 035 $a(PQKBWorkID)10287101 035 $a(PQKB)10645671 035 $a(DE-He213)978-3-540-48120-1 035 $a(PPN)155218077 035 $a(EXLCZ)991000000000233424 100 $a20121227d1989 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aDirected Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties$b[electronic resource] /$fby Vladimir Privman, Nenad M. Svrakic 205 $a1st ed. 1989. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1989. 215 $a1 online resource (VI, 122 p. 1 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v338 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-51429-5 327 $aDirected walk models of polymer conformations -- Line interfaces in two dimensions: Solid-on-solid models -- Polymers at surfaces -- Models of stacks and compact clusters -- Summary. 330 $aThis monograph gives a detailed introductory exposition of research results for various models, mostly two-dimensional, of directed walks, interfaces, wetting, surface adsorption (of polymers), stacks, compact clusters (lattice animals), etc. The unifying feature of these models is that in most cases they can be solved analytically. The methods used include transfer matrices, generating functions, recurrence relations, and difference equations, and in some cases involve utilization of less familiar mathematical techniques such as continued fractions and q-series. The authors emphasize an overall view of what can be learned generally of the statistical mechanics of anisotropic systems, including phenomena near surfaces, by studying the solvable models. Thus, the concept of scaling and, where known, finite-size scaling properties are elucidated. Scaling and statistical mechanics of anisoptropic systems in general are active research topics. The volume provides a comprehensive survey of exact model results in this field. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v338 606 $aPhysical chemistry 606 $aThermodynamics 606 $aStatistical physics 606 $aDynamical systems 606 $aAtoms 606 $aPhysics 606 $aPolymers   606 $aPhysical Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C21001 606 $aThermodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21050 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aAtomic, Molecular, Optical and Plasma Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P24009 606 $aPolymer Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/C22008 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aPhysical chemistry. 615 0$aThermodynamics. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aAtoms. 615 0$aPhysics. 615 0$aPolymers  . 615 14$aPhysical Chemistry. 615 24$aThermodynamics. 615 24$aComplex Systems. 615 24$aAtomic, Molecular, Optical and Plasma Physics. 615 24$aPolymer Sciences. 615 24$aStatistical Physics and Dynamical Systems. 676 $a541 700 $aPrivman$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut$053117 702 $aSvrakic$b Nenad M$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910257406003321 996 $aDirected Models of Polymers, Interfaces, and Clusters: Scaling and Finite-Size Properties$92542071 997 $aUNINA