We report here the solution of a set of transcendental equations that arises in the correlative theory of an unsymmetrized self-consistent field for strongly anharmonic crystals. The solutions of these equations in the case of pairwise forces are higher transcendental functions βn(X), where n is the dimensionality of the lattice and X is a dimensionless combination of temperature and the second-and fourth-order force coefficients. We also solve the corresponding equations for the case of many-body interactions and describe the respective transcendental function v(X, X'). The physical meaning of these functions is that they describe the degree of anharmonicity of the system. The values of these functions can be used as input data for the calculation of the structural, dynamic and thermodynamic properties of solids with strong anharmonicity.

Authors

Number of issue

10

Language

English

Pages

1327-1336

Status

Published

Link

Volume

19

Year

2001

Organizations

^{1}Dept. of Theoretical Physics, Peoples' Friendship University, 117419 Moscow, Russian Federation

Keywords

Correlation methods; Functions; Plasticity; Statistical methods; Strength of materials; Thermodynamics; Anharmonic solids; Crystals

Date of creation

19.10.2018

Date of change

19.10.2018