Classical collisional theory of beam‐driven plasma currents
Classical collisional theory of beam‐driven plasma currents
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DOI：
10.1063/1.863103
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发表时间：
1980-06
影响因子：
4.6
通讯作者：
S. Hirshman
中科院分区：
文献类型：
--
作者：
S. Hirshman
本文提出了快束粒子在等离子体中产生的电流的变分计算方法。得到了经典Spitzer函数的一种新的能量多项式展开式，并用于导出束流驱动电流的精确解析表达式，该表达式包含了电子-电子碰撞的影响，适用于所有的Vb=Vb/ve和有效电荷Z值。这一分析结果与以往的数值计算结果吻合得很好。通过修补j的大、小vb渐近展开式，得到了作为束流速度函数的束流驱动电流的精确有理形式。
A variational calculation of the current produced in a plasma by fast beam particles is presented. A new energy polynomial expansion of the classical Spitzer function is obtained and used to derive an accurate analytic expression for the beam‐driven current j∥, which includes the effects of electron‐electron collisions and is valid for all values of vb=vb/ve and effective charge Z. This analytic result is in excellent agreement with previous numerical calculations. An accurate rational form for the beam‐driven current as a function of beam velocity is obtained by patching the large and small vb asymptotic expansions of j∥.