This article is cited in 1 paper

Equivalence of Gibbs ensembles for classical lattice systems

V. V. Krivolapova


Abstract: For lattice systems with many-particle absolutely summable interaction it is shown for all $\beta>0$ and $1>\rho>0$that the limiting generating functionals of the canonical and grand canonical ensembles satisfy the Bogolyubov equation and in this sense the ensembles are equivalent. For systems with binary interaction, it is shown that the Bogolyubov equation has several solutions for the parameters $(z,\beta)$ for which the one-to-one correspondence with the parameters $(\rho,\beta)$ is broken.

Received: 21.10.1981

 English version: Theoretical and Mathematical Physics, 1982, 52:2, 803–814

Bibliographic databases:

• 
•