Abstract:
Cluster expansion of the Hamiltonian of the phase separating boundary is introduced
and the conditions on this expansion are found which guarantee the validity of
the results obtained in the first part of this paper. The results are applied to manycomponent
models with the block structure of the matrix of nearest neighbours interaction
and also to non-finite perturbations of such models, to perturbations of the Potts
model at large $N$ and to one of the models of the “gas – rigid crystal” type.