On the relationship of energy and probability in models of classical statistical physics

zbMath1434.82007arXiv1810.05388MaRDI QIDQ5213242

Sergueï Dachian, Boris S. Nahapetian

Publication date: 31 January 2020

Full work available at URL: https://arxiv.org/abs/1810.05388

zbMATH Keywords

Hamiltonianrandom fieldspecificationtransition energy fieldGibbs formula1-specificationone-point transition energy field

Mathematics Subject Classification ID

Random fields (60G60) Classical equilibrium statistical mechanics (general) (82B05) Foundations of equilibrium statistical mechanics (82B03)

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Description of random fields by systems of conditional distributions ⋮ Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited ⋮ On the characterization of a finite random field by conditional distribution and its Gibbs form ⋮ Identities for correlation functions in classical statistical mechanics and the problem of crystal states ⋮ Combinatorial approach to the description of random fields

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