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

I. I. Narkevich, S. I. Lobko,
A. V. Zharkevich, and P. P. Kazakov

UDC 536.758+539.311

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.

Belarusian State Technological University, Minsk, Belarus; 
email: root@bgtu.minsk.by. Translated from Inzhenerno-Fizicheskii 
Zhurnal, Vol. 75, No. 4, pp. 170-176, July-August, 2002. Original 
article submitted February 13, 2002.

JEPTER7492020022
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