Long-wavelength limit of the dynamical local-field factor and dynamical conductivity of a two-component plasma

Abstract

A systematic approach to the optical conductivity is given within a dielectric function formalism. The response function as well as the dynamical local-field factor G(k-->,omega) of an electron-ion plasma can be expressed in terms of determinants of equilibrium correlation functions which allow for a perturbative treatment. The dynamical collision frequency nu(omega)=-iomega(2)(pl)G(0,omega)/omega for fully ionized weakly coupled plasmas is evaluated in the low-density limit. A renormalization function is given to describe the effects of higher moments of the distribution function, thus the Spitzer formula is reproduced in the static limit. The existence of the third moment sum rule can be shown analytically. Numerical calculations are presented for the dynamical conductivity of hydrogen plasmas at solar core conditions.

Dynamical local field, compressibility, and frequency sum rules for quasiparticles

“…which agrees with (18). Therefore, we have shown that the dynamical local field (36) from the response function (33) leads to the same compressibility (19).…”

“…Therefore we have derived a dynamical response function and a local field which shows in the static limit the correct compressibility (18). This compressibility formulae (18) can be checked alternatively by calculating explicitly the frequency integral in (19)…”

“…Therefore the concentration is now mostly focussed on the construction of dynamical local field corrections 13,[16][17][18] . The quantum versions of the SingwiTosi-Land-Sjölander, G ST LS , and Vahishta-Singwi, G V S , theories have been discussed in 16,19,20 .…”

Observations of Plasmons in Warm Dense Matter

“…As there are no independent tests of the various models [30] presently available, this experimental method will provide such a test by determining independently the electron temperature simultaneously with plasmon measurements.…”

Основное Кинетическое Уравнение Для Приведенного Статистического Оператора Атома В Плазме

“…С помощью уравнений этого пункта в приведенный статистический оператор можно включить улучшенные выражения для диэлектрической функции [46], [47] или прямые выражения ДСФ в сильно коррелированной двух-или более компонент-ной плазме [48], [49]. (44) атома в многоча-стичном плазменном окружении с известными результатами.…”