Wigner crystallization and the onset of a charge-density-wave instability in strongly coupled, classical, one-component plasma

Physics

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Crystallization, Density Wave Model, Magnetohydrodynamic Stability, Nonuniform Plasmas, Stellar Models, Stellar Structure, Computerized Simulation, Dielectrics, Ion Density (Concentration), Monte Carlo Method, Phase Transformations, Plasma Composition, Plasma Density, Plasma Waves, Stellar Interiors

Scientific paper

The onset of the soft-mode charge density wave instability in a strongly coupled classical one-component plasma such as that used to model stellar interiors is investigated in relation to the first-order phase transition point at which the Wigner crystallization takes place. The condition for the onset of a charge density wave instability is formulated in terms of the static dielectric response function, which is then related to the static structure factor. The dielectric response function is evaluated based on Monte Carlo simulations of the static structure factor. Results indicate that if an instability of a homogeneous fluid phase takes place, the critical value of the Coulomb coupling constant should be much greater than that for the first-order transition at the Wigner crystallization. In addition, considerations of the applicability of the local approximation for correlation often employed show that this approximation may lead to inaccurate predictions of the onset of the charge density wave instability.

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