The wulff crystal in ising and percolation models : Ecole d'Eté de Probabilités de Saint-Flour XXXIV - 2004 / / Raphaël Cerf, edited by Jean Picard

• Autore: Cerf Raphaël
• Pubblicazione: Germany : , : Springer, , [2006]; ©2006
• Edizione: 1st ed. 2006.
• Descrizione fisica: 1 online resource (266 p.)
• Disciplina: 530.13
• Soggetto topico: Phase transformations (Statistical physics)
• Persona (resp. second.): PicardJean <1959->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Phase coexistence and subadditivity -- Presentation of the models -- Ising model -- Bernoulli percolation -- FK or random cluster model -- Main results -- The Wulff crystal -- Large deviation principles -- Large deviation theory -- Surface large deviation principles -- Volume large deviations -- Fundamental probabilistic estimates -- Coarse graining -- Decoupling -- Surface tension -- Interface estimate -- Basic geometric tools -- Sets of finite perimeter -- Surface energy -- The Wulff theorem -- Final steps of the proofs -- LDP for the cluster shapes -- Enhanced upper bound -- LDP for FK percolation -- LDP for Ising.
• Sommario/riassunto: This volume is a synopsis of recent works aiming at a mathematically rigorous justification of the phase coexistence phenomenon, starting from a microscopic model. It is intended to be self-contained. Those proofs that can be found only in research papers have been included, whereas results for which the proofs can be found in classical textbooks are only quoted.
• Titolo autorizzato: The wulff crystal in ising and percolation models
• ISBN: 1-280-61834-5; 9786610618347; 3-540-34806-9
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466615503316
• Lo trovi qui: Univ. di Salerno
• Serie: École d'Été de Probabilités de Saint-Flour, . 0721-5363 ; ; 1878