Matches in SemOpenAlex for { <https://semopenalex.org/work/W2897071623> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2897071623 abstract "In this paper we present a new point of view on the mathematical foundations of statistical physics of infinite volume systems. This viewpoint is based on the newly introduced notions of transition energy function, transition energy field and one-point transition energy field. The former of them, namely the transition energy function, is a generalization of the notion of relative Hamiltonian introduced by Pirogov and Sinai. However, unlike the (relative) Hamiltonian, our objects are defined axiomatically by their natural and physically well-founded intrinsic properties. The developed approach allowed us to give a proper mathematical definition of the Hamiltonian without involving the notion of potential, to propose a justification of the Gibbs formula for infinite systems and to answer the problem stated by D. Ruelle of how wide the class of specifications, which can be represented in Gibbsian form, is. Furthermore, this approach establishes a straightforward relationship between the probabilistic notion of (Gibbs) random field and the physical notion of (transition) energy, and so opens the possibility to directly apply probabilistic methods to the mathematical problems of statistical physics." @default.
- W2897071623 created "2018-10-26" @default.
- W2897071623 creator A5006813243 @default.
- W2897071623 creator A5087684509 @default.
- W2897071623 date "2019-09-03" @default.
- W2897071623 modified "2023-10-18" @default.
- W2897071623 title "On the relationship of energy and probability in models of classical statistical physics" @default.
- W2897071623 cites W1497178862 @default.
- W2897071623 cites W1507653385 @default.
- W2897071623 cites W1512350201 @default.
- W2897071623 cites W1980619456 @default.
- W2897071623 cites W1996903682 @default.
- W2897071623 cites W2020624980 @default.
- W2897071623 cites W2042871044 @default.
- W2897071623 cites W2055338230 @default.
- W2897071623 cites W2055649245 @default.
- W2897071623 cites W2057276848 @default.
- W2897071623 cites W2060018485 @default.
- W2897071623 cites W2062332780 @default.
- W2897071623 cites W2067627393 @default.
- W2897071623 cites W2072950705 @default.
- W2897071623 cites W2077437403 @default.
- W2897071623 cites W2087678613 @default.
- W2897071623 cites W2101663466 @default.
- W2897071623 cites W2123369259 @default.
- W2897071623 cites W2129034099 @default.
- W2897071623 cites W2167463576 @default.
- W2897071623 cites W2507021901 @default.
- W2897071623 cites W2600289236 @default.
- W2897071623 cites W2765846489 @default.
- W2897071623 cites W3139404326 @default.
- W2897071623 cites W45211861 @default.
- W2897071623 cites W629383433 @default.
- W2897071623 hasPublicationYear "2019" @default.
- W2897071623 type Work @default.
- W2897071623 sameAs 2897071623 @default.
- W2897071623 citedByCount "0" @default.
- W2897071623 crossrefType "posted-content" @default.
- W2897071623 hasAuthorship W2897071623A5006813243 @default.
- W2897071623 hasAuthorship W2897071623A5087684509 @default.
- W2897071623 hasBestOaLocation W28970716231 @default.
- W2897071623 hasConcept C111806380 @default.
- W2897071623 hasConcept C121332964 @default.
- W2897071623 hasConcept C121864883 @default.
- W2897071623 hasConcept C149782125 @default.
- W2897071623 hasConcept C186370098 @default.
- W2897071623 hasConcept C33332235 @default.
- W2897071623 hasConcept C33923547 @default.
- W2897071623 hasConcept C62520636 @default.
- W2897071623 hasConcept C84114770 @default.
- W2897071623 hasConceptScore W2897071623C111806380 @default.
- W2897071623 hasConceptScore W2897071623C121332964 @default.
- W2897071623 hasConceptScore W2897071623C121864883 @default.
- W2897071623 hasConceptScore W2897071623C149782125 @default.
- W2897071623 hasConceptScore W2897071623C186370098 @default.
- W2897071623 hasConceptScore W2897071623C33332235 @default.
- W2897071623 hasConceptScore W2897071623C33923547 @default.
- W2897071623 hasConceptScore W2897071623C62520636 @default.
- W2897071623 hasConceptScore W2897071623C84114770 @default.
- W2897071623 hasLocation W28970716231 @default.
- W2897071623 hasLocation W28970716232 @default.
- W2897071623 hasLocation W28970716233 @default.
- W2897071623 hasLocation W28970716234 @default.
- W2897071623 hasLocation W28970716235 @default.
- W2897071623 hasOpenAccess W2897071623 @default.
- W2897071623 hasPrimaryLocation W28970716231 @default.
- W2897071623 hasRelatedWork W1976759136 @default.
- W2897071623 hasRelatedWork W2045602806 @default.
- W2897071623 hasRelatedWork W206191650 @default.
- W2897071623 hasRelatedWork W2160905433 @default.
- W2897071623 hasRelatedWork W2276865359 @default.
- W2897071623 hasRelatedWork W2385167435 @default.
- W2897071623 hasRelatedWork W3108586178 @default.
- W2897071623 hasRelatedWork W3121993996 @default.
- W2897071623 hasRelatedWork W3124398826 @default.
- W2897071623 hasRelatedWork W3185147610 @default.
- W2897071623 isParatext "false" @default.
- W2897071623 isRetracted "false" @default.
- W2897071623 magId "2897071623" @default.
- W2897071623 workType "article" @default.