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

Journal Article · Fri Jun 15 00:00:00 EDT 2012 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4728075· OSTI ID:22072440

Bobrov, V B ^[1]; Sokolov, I M ^[2]; Trigger, S A ^[1]

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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)

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.

• OSTI ID: 22072440
• Journal Information: Physics of Plasmas, Vol. 19, Issue 6; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CANONICAL DIMENSION
CHARGED PARTICLES
COMPRESSIBILITY
COULOMB FIELD
FLUCTUATIONS
STRUCTURE FACTORS
THERMODYNAMICS