000725538 000__ 04957cam\a2200469Ii\4500
000725538 001__ 725538
000725538 005__ 20230306140644.0
000725538 006__ m\\\\\o\\d\\\\\\\\
000725538 007__ cr\cn\nnnunnun
000725538 008__ 150209s2015\\\\ne\a\\\\ob\\\\001\0\eng\d
000725538 020__ $$a9789401794305$$qelectronic book
000725538 020__ $$a9401794308$$qelectronic book
000725538 020__ $$z9789401794299
000725538 0247_ $$a10.1007/978-94-017-9430-5$$2doi
000725538 035__ $$aSP(OCoLC)ocn903010187
000725538 035__ $$aSP(OCoLC)903010187
000725538 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDXCP$$dCOO$$dOCLCF
000725538 049__ $$aISEA
000725538 050_4 $$aQC174.8
000725538 08204 $$a530.13$$223
000725538 1001_ $$aLavis, D. A.$$q(David Anthony),$$d1939-$$eauthor.
000725538 24510 $$aEquilibrium statistical mechanics of lattice models$$h[electronic resource] /$$cDavid A. Lavis.
000725538 264_1 $$aDordrecht :$$bSpringer,$$c2015.
000725538 300__ $$a1 online resource (xvii, 793 pages) :$$billustrations.
000725538 336__ $$atext$$btxt$$2rdacontent
000725538 337__ $$acomputer$$bc$$2rdamedia
000725538 338__ $$aonline resource$$bcr$$2rdacarrier
000725538 4901_ $$aTheoretical and Mathematical Physics,$$x1864-5879
000725538 504__ $$aIncludes bibliographical references and index.
000725538 5050_ $$aPart I Thermodynamics, Statistical Mechanical Models and Phase Transitions -- Introduction -- Thermodynamics -- Statistical Mechanics -- A Survey of Models -- Phase Transitions and Scaling Theory -- Part II Classical Approximation Methods -- Phenomenological Theory and Landau Expansions -- Classical Methods -- The Van der Waals Equation -- Landau Expansions with One Order Parameter -- Landau Expansions with Two Order Parameter -- Landau Theory for a Tricritical Point -- Landau_Ginzburg Theory -- Mean-Field Theory -- Cluster-Variation Methods -- Part III Exact Results -- Introduction -- Algebraic Methods -- Transformation Methods -- Edge-Decorated Ising Models -- 11 Transfer Matrices: Incipient Phase Transitions -- Transfer Matrices: Exactly Solved Models -- Dimer Models -- Part IV Series and Renormalization Group Methods -- Introduction -- Series Expansions -- Real-Space Renormalization Group Theory -- A Appendices.- References and Author Index.
000725538 506__ $$aAccess limited to authorized users.
000725538 520__ $$aMost interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models. Part I contains background material on classical thermodynamics and statistical mechanics, together with a classification and survey of lattice models. The geometry of phase transitions is described and scaling theory is used to introduce critical exponents and scaling laws. An introduction is given to finite-size scaling, conformal invariance and Schramm?Loewner evolution. Part II contains accounts of classical mean-field methods. The parallels between Landau expansions and catastrophe theory are discussed and Ginzburg?Landau theory is introduced. The extension of mean-field theory to higher-orders is explored using the Kikuchi?Hijmans?De Boer hierarchy of approximations. In Part III the use of algebraic, transformation and decoration methods to obtain exact system information is considered. This is followed by an account of the use of transfer matrices for the location of incipient phase transitions in one-dimensionally infinite models and for exact solutions for two-dimensionally infinite systems. The latter is applied to a general analysis of eight-vertex models yielding as special cases the two-dimensional Ising model and the six-vertex model. The treatment of exact results ends with a discussion of dimer models. In Part IV series methods and real-space renormalization group transformations are discussed. The use of the De Neef?Enting finite-lattice method is described in detail and applied to the derivation of series for a number of model systems, in particular for the Potts model. The use of Padé, differential and algebraic approximants to locate and analyze second- and first-order transitions is described. The realization of the ideas of scaling theory by the renormalization group is presented together with treatments of various approximation schemes including phenomenological renormalization. Part V of the book contains a collection of mathematical appendices intended to minimise the need to refer to other mathematical sources.
000725538 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 9, 2015).
000725538 650_0 $$aStatistical mechanics.
000725538 650_0 $$aLattice theory.
000725538 650_0 $$aIrreversible processes.
000725538 77608 $$iPrint version:$$z9789401794299
000725538 830_0 $$aTheoretical and mathematical physics (Springer (Firm)).
000725538 852__ $$bebk
000725538 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-94-017-9430-5$$zOnline Access$$91397441.1
000725538 909CO $$ooai:library.usi.edu:725538$$pGLOBAL_SET
000725538 980__ $$aEBOOK
000725538 980__ $$aBIB
000725538 982__ $$aEbook
000725538 983__ $$aOnline
000725538 994__ $$a92$$bISE