Eigenfunctions and eigenvalues of the Dougherty collision operator
Eigenfunctions and eigenvalues of the Dougherty collision operator
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Dougherty 碰撞算子的特征函数和特征值
DOI：
10.1063/1.2727463
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发表时间：
2007
影响因子：
2.2
通讯作者：
T. M. O'Neil
中科院分区：
文献类型：
--
作者：
M. W. Anderson;T. M. O'Neil
道格拉斯碰撞算符是一个简化的福克-普朗克碰撞算符，它保持了粒子数、动量和能量的守恒。本文得到了线性化Doughnut算子的正交本征函数的完备集。其中五个本征函数的本征值为零，对应于五个守恒量（粒子数、动量的三个分量和能量）。本征函数和流体模式之间的连接，在强碰撞的限制证明，特别是，声速，热导率，和粘度预测的Doughnut运营商确定。
The Dougherty collision operator is a simplified Fokker-Planck collision operator that conserves particle number, momentum, and energy. In this paper, a complete set of orthogonal eigenfunctions of the linearized Dougherty operator is obtained. Five of the eigenfunctions have zero eigenvalue and correspond to the five conserved quantities (particle number, three components of momentum, and energy). The connection between the eigenfunctions and fluid modes in the limit of strong collisionality is demonstrated; in particular, the sound speed, thermal conductivity, and viscosity predicted by the Dougherty operator are identified.