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Title: Necessary conditions of the equivalence of canonical and grand canonical ensembles in Coulomb system thermodynamics

Abstract

It was found that the equivalence of the grand canonical and canonical ensembles for the Coulomb systems is possible only when charged particles of different types in calculating the physical quantities are considered as formally 'independent' ones, and the quasi-neutrality condition is used in the final stage of calculations. The phase equilibrium condition is obtained and the expression is derived for the isothermal compressibility of matter as a two-component Coulomb system, which corresponds to the known limit relations for static structure factors. On this basis, it is demonstrated that the critical point of matter, considering as the Coulomb system is determined from the condition of vanishing mean square of fluctuations of the total charge per unit volume.

Authors:
 [1];  [2];  [1];  [3]
  1. Joint Institute for High Temperatures, Russian Academy of Sciences, 13/19, Izhorskaia Str., Moscow 125412 (Russian Federation)
  2. Institut fuer Physik, Humboldt-Universitaet zu Berlin, Newtonstrasse 15, D-12489 Berlin (Germany)
  3. (Germany)
Publication Date:
OSTI Identifier:
22072440
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 19; Journal Issue: 6; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CANONICAL DIMENSION; CHARGED PARTICLES; COMPRESSIBILITY; COULOMB FIELD; FLUCTUATIONS; STRUCTURE FACTORS; THERMODYNAMICS

Citation Formats

Bobrov, V. B., Sokolov, I. M., Trigger, S. A., and Institut fuer Physik, Humboldt-Universitaet zu Berlin, Newtonstrasse 15, D-12489 Berlin. Necessary conditions of the equivalence of canonical and grand canonical ensembles in Coulomb system thermodynamics. United States: N. p., 2012. Web. doi:10.1063/1.4728075.
Bobrov, V. B., Sokolov, I. M., Trigger, S. A., & Institut fuer Physik, Humboldt-Universitaet zu Berlin, Newtonstrasse 15, D-12489 Berlin. Necessary conditions of the equivalence of canonical and grand canonical ensembles in Coulomb system thermodynamics. United States. doi:10.1063/1.4728075.
Bobrov, V. B., Sokolov, I. M., Trigger, S. A., and Institut fuer Physik, Humboldt-Universitaet zu Berlin, Newtonstrasse 15, D-12489 Berlin. Fri . "Necessary conditions of the equivalence of canonical and grand canonical ensembles in Coulomb system thermodynamics". United States. doi:10.1063/1.4728075.
@article{osti_22072440,
title = {Necessary conditions of the equivalence of canonical and grand canonical ensembles in Coulomb system thermodynamics},
author = {Bobrov, V. B. and Sokolov, I. M. and Trigger, S. A. and Institut fuer Physik, Humboldt-Universitaet zu Berlin, Newtonstrasse 15, D-12489 Berlin},
abstractNote = {It was found that the equivalence of the grand canonical and canonical ensembles for the Coulomb systems is possible only when charged particles of different types in calculating the physical quantities are considered as formally 'independent' ones, and the quasi-neutrality condition is used in the final stage of calculations. The phase equilibrium condition is obtained and the expression is derived for the isothermal compressibility of matter as a two-component Coulomb system, which corresponds to the known limit relations for static structure factors. On this basis, it is demonstrated that the critical point of matter, considering as the Coulomb system is determined from the condition of vanishing mean square of fluctuations of the total charge per unit volume.},
doi = {10.1063/1.4728075},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 6,
volume = 19,
place = {United States},
year = {2012},
month = {6}
}