Higher transcendental functions in statistical theory of strongly anharmonic solids

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
Zubov V.I. 1 , Teixeira Rabelo J.N. , Tretiakov N.P. 1 , Zubov I.V. 1
Number of issue
10
Language
English
Pages
1327-1336
Status
Published
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
Short link
https://repository.rudn.ru/en/records/article/record/263/