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TMF, 2015 Volume 183, Number 1, Pages 120–137 (Mi tmf8739)

This article is cited in 2 papers

Critical opalescence and the true dielectric state in a Coulomb system

V. B. Bobrovab, S. A. Trigerbc

a National Research University "Moscow Power Engineering Institute (MPEI)", Moscow, Russia
b Joint Institute for High Temperatures, RAS, Moscow, Russia
c Eindhoven University of Technology, Eindhoven, The Netherlands

Abstract: To study the critical opalescence effect in a two-component Coulomb system consisting of single-type electrons and nuclei, we consider the limit relations for static structure factors and analyze the singularities of the dielectric permittivity. We show that the critical opalescence effect can be observed not only at the critical point corresponding to the gas–liquid phase transition but also near the true dielectric state with zero static conductivity. With the available experimental data taken into account, we assume that the true dielectric state is the limit state of the liquid–liquid phase transition accompanied by sharp variations in the electrical conduction of the substances. We find that if the thermodynamic parameters correspond to the true dielectric state, then the critical opalescence effect can arise in the case where the squared fluctuation in the total number of electrons and nuclei in a two-component Coulomb system becomes infinite, as this occurs at the critical point corresponding to the gas–liquid phase transition.

Keywords: critical opalescence, Coulomb system, static structure factor, dielectric permittivity, true dielectric, equilibrium Green's function.

Received: 19.06.2014

DOI: 10.4213/tmf8739


 English version:
Theoretical and Mathematical Physics, 2015, 183:1, 553–566

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