This paper considers lattice systems with binary interaction. The Gibbs distributions characterising the states of the systems are determined by generating functionals that satisfy Bogolyubov's equation. It is shown that to different regularity conditions of the Gibbs distributions there correspond different natures of the continuous dependence of the solutions of the Bogoyubov equation on the external field. This makes it possible to regard the regularity conditions as conditions of stability of the Gibbs distributions with respect to weak perturbations of them by external fields.

V. V. Krivolapova

Papers

Stability of Gibbs distributions