In this work we describe the Correlative Method of Unsymmetrized Self-Consistent Field (CUSF). This method is based on a set of nonlinear integrodifferential equations for the one-particle configurational distribution functions and for the self-consistent potentials of the atoms. Here we present the fundamental concepts of the CUSF, the hypotheses of the method, the basic equations, the self-consistent potential, the thermodynamics of the anharmonic crystalline solids, and the quantum corrections in the quasi-classical approximation. Keywords: lattice theory and statistics; anharmonic crystals; thermodynamics.
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