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Title: PROBLEMS OF DYNAMIC THEORY IN STATISTICAL PHYSICS; Problemy Dinamicheskoi Teorii v Statisticheskoi Fiziki

Abstract

The formulation of general methods for the solution of kinetic equations in statistical physics by dynamic theory is presented. Systems based on the canonical distribution of Gibbs in the state of statistical equilibrium are investigated. Two types of power expansions were studied: one led directly to the known expansions of the theory of real gases of Ursell-Mayer and the other to Debye formulas in the first approximation in the theory of powerful electrolytes. Special methods for power expansions which lead to kinetic equations are discussed. To characterize the dynamic theory, a sequence of distribution functions which characterize the probable distribution for the complexes of s(s = 1.2.3....) molecules was introduced and a system of integro-differential equations was composed for them. The motion of molecules is discussed as an incidental process and a mechanism of binary collisions is introduced. The effective cross sections in the equation of the incidental process are computed from the equations of classical mechanics. (C.J.G.)

Authors:
Publication Date:
Research Org.:
Originating Research Org. not identified
OSTI Identifier:
4182292
Report Number(s):
AEC-tr-3852
NSA Number:
NSA-14-016402
Resource Type:
Technical Report
Resource Relation:
Other Information: Orig. Receipt Date: 31-DEC-60; Related Information: Translated by Lydia Venters (Argonne National Lab.) from a Publication of the Federal Publishing House for Technical-Theoretical Literature, Moscow-Leningrad
Country of Publication:
Country unknown/Code not available
Language:
English
Subject:
PHYSICS; COLLISIONS; CROSS SECTIONS; DIFFERENTIAL EQUATIONS; DISTRIBUTION; ELECTROLYTES; EQUATIONS; FLUID FLOW; GAS FLOW; GASES; GIBBS DISTRIBUTION; LIQUID FLOW; MECHANICS; MOLECULES; MOTION; REACTION KINETICS; REACTIVITY; STATISTICS; THERMODYNAMICS

Citation Formats

Bogoliubov, N N. PROBLEMS OF DYNAMIC THEORY IN STATISTICAL PHYSICS; Problemy Dinamicheskoi Teorii v Statisticheskoi Fiziki. Country unknown/Code not available: N. p., 1946. Web.
Bogoliubov, N N. PROBLEMS OF DYNAMIC THEORY IN STATISTICAL PHYSICS; Problemy Dinamicheskoi Teorii v Statisticheskoi Fiziki. Country unknown/Code not available.
Bogoliubov, N N. 1946. "PROBLEMS OF DYNAMIC THEORY IN STATISTICAL PHYSICS; Problemy Dinamicheskoi Teorii v Statisticheskoi Fiziki". Country unknown/Code not available.
@article{osti_4182292,
title = {PROBLEMS OF DYNAMIC THEORY IN STATISTICAL PHYSICS; Problemy Dinamicheskoi Teorii v Statisticheskoi Fiziki},
author = {Bogoliubov, N N},
abstractNote = {The formulation of general methods for the solution of kinetic equations in statistical physics by dynamic theory is presented. Systems based on the canonical distribution of Gibbs in the state of statistical equilibrium are investigated. Two types of power expansions were studied: one led directly to the known expansions of the theory of real gases of Ursell-Mayer and the other to Debye formulas in the first approximation in the theory of powerful electrolytes. Special methods for power expansions which lead to kinetic equations are discussed. To characterize the dynamic theory, a sequence of distribution functions which characterize the probable distribution for the complexes of s(s = 1.2.3....) molecules was introduced and a system of integro-differential equations was composed for them. The motion of molecules is discussed as an incidental process and a mechanism of binary collisions is introduced. The effective cross sections in the equation of the incidental process are computed from the equations of classical mechanics. (C.J.G.)},
doi = {},
url = {https://www.osti.gov/biblio/4182292}, journal = {},
number = ,
volume = ,
place = {Country unknown/Code not available},
year = {Tue Jan 01 00:00:00 EST 1946},
month = {Tue Jan 01 00:00:00 EST 1946}
}

Technical Report:
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