. "GA201/00/1149" . . "Phase transitions in various systems consisting of large number of interacting components will be studied with the help of rigorous mathematical techniques (in particular probability theory). We will study continuous models (one possible starting point ito analyze percolation approach to Widom-Rowlinson model), lattice systems with continuous spin, as well as quantum lattice systems. Here, the phenomenon of stabilization of degenerated classical ground states will be discussed in detail and phase diagrams of different models of itinerant particles will be discussed. Using our recent extension of the Pirogov-Sinai theory, we would like to study several types of %22stratified%22 models with a complicated structure of the optimal interface state in the case of several competig forms. We are also planning to study new properties of the order-disorder transition including the existence of partially ordered phases and discus various properties of random cluster model. Influence of phase transition on the"@en . . "6"^^ . . . . "6"^^ . . "F\u00E1zov\u00E9 p\u0159echody v rozli\u010Dn\u00FDch syst\u00E9mech skl\u00E1daj\u00EDc\u00EDch se z velk\u00E9ho po\u010Dtu interaguj\u00EDc\u00EDch komponent budou studov\u00E1ny u\u017Eit\u00EDm rigor\u00F3zn\u00EDch matematick\u00FDch (pravd\u011Bpodobnostn\u00EDch) metod. Budeme zkoumat spojit\u00E9 modely (jednou z mo\u017En\u00FDch metod je vych\u00E1zet z p\u0159\u00EDstupu k Widom-Rowlinsonov\u011B modelu zalo\u017Een\u00E9m na perkolaci), m\u0159\u00ED\u017Eov\u00E9 syst\u00E9my se spojit\u00FDm spinem stejn\u011B jako kvantov\u00E9 m\u0159\u00ED\u017Eov\u00E9 syst\u00E9my. Jev kvantov\u00E9 stabilizace degenerovan\u00FDch klasick\u00FDch z\u00E1kladn\u00EDch stav\u016F bude detailn\u011B diskutov\u00E1n a budou pops\u00E1ny f\u00E1zov\u00E9 diagramy r\u016Fzn\u00FDch model\u016F itinerantn\u00EDch \u010D\u00E1stic. Pou\u017E\u00EDvaj\u00EDce ned\u00E1vno navr\u017Een\u00E9ho zobecn\u011Bn\u00ED Pirogov-Sinaiovy teorie budeme studovat 'stratifikovan\u00E9' modely s komplikovanou strukturou rozhran\u00ED a d\u00E1le optim\u00E1ln\u00ED uspo\u0159\u00E1d\u00E1n\u00ED rozhran\u00ED v p\u0159\u00EDpad\u011B v\u00EDce alternativn\u00EDch tvar\u016F. Pl\u00E1nujeme d\u00E1le tak\u00E9 prozkoumat nov\u00E9 vlastnosti p\u0159echod\u016F uspo\u0159\u00E1d\u00E1n\u00ED-neuspo\u0159\u00E1d\u00E1n\u00ED v\u010Detn\u011B koexistence \u010D\u00E1ste\u010Dn\u011B neuspo\u0159\u00E1dan\u00FDch f\u00E1z\u00ED a diskuse rozli\u010Dn\u00FDch vlastnost\u00ED m\u00EDry n\u00E1hodn\u00FDch klastr\u016F. Vliv f\u00E1zov\u00E9ho p\u0159echodu na pou\u017Eit\u00ED Gibbsov\u00FDch stav\u016F jako\u017Eto" . . . "Stochastic models of phase transitions in large interacting systems"@en . . . "Neuvedeno."@en . "1"^^ . "http://www.isvav.cz/projectDetail.do?rowId=GA201/00/1149"^^ . . "1"^^ . . "2008-05-19+02:00"^^ . . . "0"^^ . "Bylo dosa\u017Eeno v\u00FDborn\u00FDch v\u00FDsledk\u016F v obecn\u00E9 teorii f\u00E1zov\u00FDch p\u0159echod\u016F a statistick\u00E9 anal\u00FDzy gibbsovsk\u00FDch pol\u00ED. V\u00FDsledky byly publikov\u00E1ny ve v\u00FDzna\u010Dn\u00FDch \u010Dasopisech a referov\u00E1no o nich na \u0159ad\u011B konferenc\u00ED (v r\u00E1mci zvan\u00FDch plen\u00E1rn\u00EDch p\u0159edn\u00E1\u0161ek). Rozvinula se int"@cs . "Stochastick\u00E9 modely f\u00E1zov\u00FDch p\u0159echod\u016F ve velk\u00FDch interaguj\u00EDc\u00EDch syst\u00E9mech" . . .