Abstract:
Discrete systems with many-particle absolutely summable potential are considered. It is shown that all probability measures on the configuration space of such systems are determined by analytic generating functionals. If the measure is to be Gibbsian, it is necessary and sufficient that its generating functional satisfy a generalized Bogolyubov equation.
Citation:
V. V. Krivolapova, G. I. Nazin, “Generating functional method and Gibbs random fields on countable sets”, TMF, 47:3 (1981), 362–374; Theoret. and Math. Phys., 47:3 (1981), 514–532
This publication is cited in the following 4 articles:
V. V. Ryazanov, “Obtaining the thermodynamic relations for the Gibbs ensemble using the maximum entropy method”, Theoret. and Math. Phys., 194:3 (2018), 390–403
V. V. Krivolapova, G. I. Nazin, “Stability of Gibbs distributions”, Theoret. and Math. Phys., 65:2 (1985), 1172–1176
G. I. Nazin, “Method of the generating functional”, J. Soviet Math., 31:2 (1985), 2859–2886
V. V. Krivolapova, “Equivalence of Gibbs ensembles for classical lattice systems”, Theoret. and Math. Phys., 52:2 (1982), 803–814
Citation in format AMSBIB
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