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Teoreticheskaya i Matematicheskaya Fizika, 1971, Volume 7, Number 1, Pages 106–120
(Mi tmf4270)
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This article is cited in 6 scientific papers (total in 6 papers)
Investigation of Bogolyubov's chain of equations for strongly correlated statistical systems
V. N. Zhigulev
Abstract:
General aspects of motion of a perfect gas are investigated on the basis of Bogolyubov's
chain of equations for the $s$-point distribution functions. It is shown that the kinetics of an
inhomogeneous perfect gas satisfies a special chain of equations which reduces to the classical
Boltzmann equation only in the particular case when there are no statistical constraints
in the macrospace. The investigation of this chain of equations enables one to approach
rigorously the question of the hydrodynamic equations for a continuous medium when there
are statistical constraints at different spatial points in the medium. In particular, it is
shown that the equilibrium state of a perfect gas differs strongly from the usual Maxwell
state if such constraints are present.
Received: 07.05.1970
Citation:
V. N. Zhigulev, “Investigation of Bogolyubov's chain of equations for strongly correlated statistical systems”, TMF, 7:1 (1971), 106–120; Theoret. and Math. Phys., 7:1 (1971), 401–411
Linking options:
https://www.mathnet.ru/eng/tmf4270 https://www.mathnet.ru/eng/tmf/v7/i1/p106
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