LEADER 03194nam 22005535 450 001 996466828503316 005 20200707005425.0 010 $a3-540-37407-8 024 7 $a10.1007/3-540-08137-2 035 $a(CKB)1000000000229829 035 $a(SSID)ssj0000323649 035 $a(PQKBManifestationID)12091410 035 $a(PQKBTitleCode)TC0000323649 035 $a(PQKBWorkID)10299836 035 $a(PQKB)10051153 035 $a(DE-He213)978-3-540-37407-7 035 $a(PPN)155181416 035 $a(EXLCZ)991000000000229829 100 $a20121227d1977 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGroup Analysis of Classical Lattice Systems$b[electronic resource] /$fby C. Gruber, A. Hintermann, D. Merlini 205 $a1st ed. 1977. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1977. 215 $a1 online resource (XIV, 331 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v60 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-08137-2 327 $aDefinitions and group structure -- The duality transformation -- Duality relation for the correlation functions -- Phase transitions with spontaneous symmetry breakdown. Ergodic decomposition -- Series and cluster expansion an application of universality hypothesis a ?generalized? droplet-model -- The partial trace transformation. Equation for the correlation functions and representation of the symmetry group -- Invariant equilibrium states and duality transformation for infinite systems -- Asano contraction and group structure. Analyticity properties of the free energy -- Analyticity and uniqueness of the invariant equilibrium state -- Definitions and group structure for systems with constraints -- Expansions for the partition function -- Partial trace method and equilibrium equations -- Duality transformation restricted to finite bonds -- Asano contractions and unicity of state -- General framework of higher spin systems -- Physical implications of the group structure -- Spin 1 lattice systems -- The duality transformation -- Zeroes of the partition function. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v60 606 $aMathematical physics 606 $aGroup theory 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 615 0$aMathematical physics. 615 0$aGroup theory. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aGroup Theory and Generalizations. 676 $a530.1 700 $aGruber$b C$4aut$4http://id.loc.gov/vocabulary/relators/aut$0346433 702 $aHintermann$b A$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aMerlini$b D$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466828503316 996 $aGroup analysis of classical lattice systems$9354476 997 $aUNISA