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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 178, Number 3, Pages 433–448
DOI: https://doi.org/10.4213/tmf8604
(Mi tmf8604)
 

This article is cited in 8 scientific papers (total in 8 papers)

Statistical theory of rarified gases in the Coulomb model of substance: Adiabatic approximation and initial atoms

V. B. Bobrovab

a Moscow Power Engineering Institute, Moscow, Russia
b Joint Institute for High Temperatures, RAS, Moscow, Russia
Full-text PDF (435 kB) Citations (8)
References:
Abstract: In the framework of the adiabatic approximation for a subsystem of nuclei with the average distance between them significantly exceeding the dimensions of the initial atom, we consider a nonrelativistic Coulomb system consisting of electrons and nuclei of one type for the temperature range where we can restrict ourself to using the ground state to describe the electron subsystem. We show that the equilibrium properties of such a system are equivalent to the thermodynamic properties of the one-component system of initial atoms interacting between themselves via a short-range potential that is the effective potential of the nucleus–nucleus interaction. In the framework of the applicability of Boltzmann statistics, we present quantum group expansions for the thermodynamic properties of a chemically reacting rarified gas that correspond to the method of initial atoms.
Keywords: Coulomb model of substance, rarified gas, initial atom, adiabatic approximation.
Received: 18.10.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 178, Issue 3, Pages 374–386
DOI: https://doi.org/10.1007/s11232-014-0149-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. B. Bobrov, “Statistical theory of rarified gases in the Coulomb model of substance: Adiabatic approximation and initial atoms”, TMF, 178:3 (2014), 433–448; Theoret. and Math. Phys., 178:3 (2014), 374–386
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8604
  • https://www.mathnet.ru/eng/tmf/v178/i3/p433
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:449
    Full-text PDF :207
    References:66
    First page:19
     
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