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摘要: 求解等离子体动力学问题的传统途径是先算出f(v,r,t),然后由积分算出所需的宏观量。这不是一种简便和直接的途径。若对速度v进行博里叶变换,得到f(K,r,t)及其相应的方程,则只需解出K≈0附近的f值即可。本文以低β不均匀(可二维不均匀)等离子体中的电磁模色散方程和碰撞对时间回声的影响两个例子说明由此种途径求解等离子体动力学问题的基本方法及其较传统方法优越之处。
Abstract: The traditional approach of treating kinetic problem of plasma is solving kinetic equation for f (v, r,t), then calculating the wanted macroscopic quantities by integration. It is shown that this is not a convenient and direct way. If transforming f (v, r, t) in to the Fourier space K, with respect to v, getting f(K, r, t) and corresponding equation of it, then only the value of f (K, r, f) near K≈0 is need for practical interest Two examples, one is the derivation of dispersion equations of electro-magnetic modes in a inhomogenius low β plasma, the other is the effect of collision on the temperal echo, show the main procedures of this approach and its advantage over the traditional one.