Dynamical Structure Factor and Collective Modes in Classical One-Component Plasmas

概要

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The dynamical structure factor and collective modes in classical one-component plasmas are studied by employing the memory-function formalism. A response function for density fluctuations of ions in the system is treated in a self-consistent manner to express it in terms of that of a free ion system and an effective potential. An exact formal expression for the effective potential is composed of two parts, static and dynamic, the latter originating from an interaction-part of a second order memory function (ISMF). By studying the properties of the effective potential and of dampings of collective modes, the latter of which are separated into Landau damping and collisional damping, a criterion for the appearance of collective modes in intermediate wave number and frequency domains is obtained as a simple inequality. The dynamical structure factor is calculated by evaluating characteristic frequencies associated with several elementary factors of dynamics of ions in the system and by taking the ISMF to be Gaussian. The result so obtained is compared with the computer-experimental data of Hansen et al. Fairly good agreement with the experimental data is obtained for the plasma parameters 0.993≲Γ≲152.4.
理論物理学刊行会の論文
1979-10-25