Abstract:
The problem of the equivalence of the canonical and grand canonical ensembles for nonideal Bose systems is considered for the example of three exactly solvable models, each of which undergoes a phase transition with the formation of a Bose condensate. It is shown that violation of the statistical (strong) equivalence of the ensembles is not a simple consequence of Bose condensation and equivalence is restored by changing the kind of the phase transition.
Citation:
V. A. Zagrebnov, V. V. Papoyan, “The ensemble equivalence problem for Bose systems (nonideal Bose gas)”, TMF, 69:3 (1986), 420–438; Theoret. and Math. Phys., 69:3 (1986), 1240–1253
This publication is cited in the following 13 articles:
V. V. Kocharovsky, Vl. V. Kocharovsky, S. V. Tarasov, “Bose–Einstein condensation in mesoscopic systems: The self-similar structure of the critical region and the nonequivalence of the canonical and grand canonical ensembles”, JETP Letters, 103:1 (2016), 62–75
Tamura H., Zagrebnov V.A., “Random Point Field Approach to Analysis of Anisotropic Bose–Einstein Condensations”, Markov Process. Relat. Fields, 18:3, SI (2012), 473–530
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