Renormalized dissipation in plasmas with finite collisionality.
Renormalized dissipation in plasmas with finite collisionality.
复制标题
具有有限碰撞性的等离子体中的重整耗散。
作者：
Parker;Carati
提出了一种非线性截断玻尔兹曼型等离子体方程的傅里叶-埃尔米特展开方法，该方法消除了精细速度尺度，考虑了其对粗尺度的影响。然后将截断的系统转换回（x, v）空间，从而得到重整化的玻尔兹曼方程。所得到的方程可以在动力学模拟中允许较粗的速度空间分辨率，而在精细的速度尺度被分解时，可以还原为原始的玻尔兹曼方程。为了说明这一过程，导出了一维静电等离子体的重整化方程，其中碰撞由Lenard-Bernstein算子模拟。
A nonlinear truncation procedure for Fourier-Hermite expansion of Boltzmann-type plasma equations is presented which eliminates fine velocity scale, taking into account its effect on coarser scales. The truncated system is then transformed back to (x, v) space which results in a renormalized Boltzmann equation. The resulting equation may allow for coarser velocity space resolution in kinetic simulations while reducing to the original Boltzmann equation when fine velocity scales are resolved. To illustrate the procedure, renormalized equations are derived for one dimensional electrostatic plasmas in which collisions are modeled by the Lenard-Bernstein operator.