Differential formulation of the gyrokinetic Landau operator

Differential formulation of the gyrokinetic Landau operator
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回旋 Landau 算子的微分公式

DOI:
10.1017/s0022377816001203
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发表时间:
2017
影响因子:
2.5
通讯作者:
D. Pfefferlé
D. Pfefferlé
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
E. Hirvijoki;A. Brizard;D. Pfefferlé

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继最近在所谓的朗道表象中严格推导出一个能量一致的回旋碰撞算子之后,本文研究了找到回旋朗道碰撞算子微分形式的可能性。据观察,虽然微分配方是可能的,在gyrokinetic相空间,减少所得到的系统的偏微分方程,通过gyroaveraging五个维度构成了挑战。基于目前的工作,它是可能的,Gyrocentre类似物的Rosenbluth-MacDonald-Judd势函数必须保持gyroangle依赖。
Subsequent to the recent rigorous derivation of an energetically consistent gyrokinetic collision operator in the so-called Landau representation, this paper investigates the possibility of finding a differential formulation of the gyrokinetic Landau collision operator. It is observed that, while a differential formulation is possible in the gyrokinetic phase space, reduction of the resulting system of partial differential equations to five dimensions via gyroaveraging poses a challenge. Based on the present work, it is likely that the gyrocentre analogues of the Rosenbluth–MacDonald–Judd potential functions must be kept gyroangle dependent.
DOI: 10.1063/1.3046067
发表时间: 2008-08
期刊: Physics of Plasmas
影响因子: 2.2
作者:
I. Abel;Michael Barnes;S. Cowley;W. Dorland;A. Schekochihin
通讯作者: I. Abel;Michael Barnes;S. Cowley;W. Dorland;A. Schekochihin