Dispersion relations in weakly degenerate plasmas

被引:10
|
作者
Rocchi, F
Molinari, VG
Mostacci, D
Sumini, M
机构
[1] Univ Bologna, DIENCA, INFM, BO, I-40136 Bologna, Italy
[2] Univ Bologna, DIENCA, Lab Montecuccolino, I-40136 Bologna, Italy
关键词
laser-plasma interactions; dispersion relations; quantum effects;
D O I
10.1016/S0584-8547(01)00216-6
中图分类号
O433 [光谱学];
学科分类号
0703 ; 070302 ;
摘要
From a quantum mechanical point of view, electrons in laser produced plasmas can be regarded as weakly degenerate. For instance, for a plasma with electron density of 10(22) cm(-3) and electron temperature of 1 eV, Sommerfeld's parameter is between 1 and 2. Under these conditions the usual dispersion relations for waves in plasmas need be corrected to account for degeneracy. In the present work, starting from the transport equation with a simplified version of the Boltzmann-Uehling-Uhlenbeck collision kernel the propagation of waves impinging on a plasma with weakly degenerate electrons is investigated and dispersion relations accounting for degeneracy are derived. These dispersion relations give the classical ones in the limit for Sommerfeld's parameter approaching zero. A shift of the wavenumber value and a non-collisional damping due to degeneracy effects are predicted which render a weakly degenerate plasma more opaque to radiation than a non-degenerate one. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:599 / 608
页数:10
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