Molecular-statistical description of nonuniformly deformed specimens. 2. Calculation of the distribution functions of molecules and vacancies in a one-dimensional uniformly deformed statistical extension-compression model

被引：0

作者：

Narkevich, I.I. ^{[1
]}

Lobko, S.I. ^{[1
]}

Zharkevich, A.V. ^{[1
]}

Kazakov, P.P. ^{[1
]}

机构：

[1] Bel. GTU, Minsk, Belarus

来源：

Inzhenerno-Fizicheskii Zhurnal | 2002年 / 75卷 / 04期

关键词：

Compaction - Correlation methods - Crystal defects - Expansion - Mathematical models - Molecules;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Within the framework of a two-level molecular-statistical study of the thermodynamic and mechanical properties of condensed systems, a one-dimensional statistical model of uniform extension and compression of a crystal with vacancies has been developed. The micro- and macrostructures of the model are described using correlative distribution functions of real molecules (particles of the r (real) type) and vacancies, account of which is carried out using a subsystem of fictitious particles (quasiparticles of the f (fictitious) type) that do not interact with the molecules and with each other. A nonlinear integral equation for the average-force potentials which determine the single- and two-particle correlative functions of the two-component statistical system of real and fictitious particles has been obtained. The analytical solution of the integral equation has been found within the framework of a modified approach due to the vacancies of the Gauss approximation.

引用

页码：170 / 176