Hazak G, Zinamon Z, Rosenfeld Y, Dharma-wardana M W
Physics Department, Nuclear Research Center-Negev, P.O. Box 9001, Beer-Sheva, 84190 Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Dec;64(6 Pt 2):066411. doi: 10.1103/PhysRevE.64.066411. Epub 2001 Nov 26.
It is shown that the Landau-Spitzer theory for temperature relaxation between electrons and ions, which was originally derived for ideal plasmas, is in fact more general. A relaxation formula is derived, for arbitrary ion-ion coupling that follows from elementary considerations combined with the fluctuation-dissipation theorem and the f-sum rule. The conditions for the validity of this theory are weak electron-ion coupling and that the spectrum of fluctuations of the ions lies at energies far below the resonances of the electrons spectrum. It is found that the rate of energy relaxation is not sensitive to the details of the ion-excitation spectrum. For classical electrons the formula reduces to the Landau-Spitzer form with minor modifications.
结果表明，最初为理想等离子体推导的电子与离子间温度弛豫的朗道 - 斯皮策理论实际上更具普遍性。通过将基本考虑与涨落 - 耗散定理及f和规则相结合，推导出了适用于任意离子 - 离子耦合的弛豫公式。该理论有效性的条件是弱电子 - 离子耦合以及离子涨落谱的能量远低于电子谱的共振能量。结果发现，能量弛豫速率对离子激发谱的细节不敏感。对于经典电子，该公式经微小修改后简化为朗道 - 斯皮策形式。
