Random field method in statistical mechanics

A generalization of the molecular field method is considered on the example of the Ising model. The main idea of the method proposed consists in that the real field of the medium in arbitrary dynamic system is modelled by a certain random field, the distribution function of which is determined from variational principle. It is assumed that the entropy of the random field defined as the information entropy, plays an essential part in achieving the self-consistence of the random field distribution function with the dynamical system.