低频流体和回转流体方程之间的非线性极化和耗散对应
Nonlinear polarisation and dissipative correspondence between low frequency fluid and gyrofluid equations
摘要：
研究了陀螺流体方程与低频流体方程之间的对应关系。ExB平流、平行动力学和曲率中的最低阶保守效应匹配平凡。主要关注的是极化通量，耗散平行粘度和平行热通量。本文评述了流体模型中极化热流的出现及其对能量定理的贡献。它示出，gyroviscosity和偏振通量相匹配的有限gyroradius修正平流在长波长的限制，只要gyrocenter和粒子表示之间的差异被考虑在内。在碰撞主导极限下，陀螺流体模型中的耗散平行粘性与残余热各向异性相匹配。在碰撞主导极限下，耗散平行热流与回旋流体平行热流变量相匹配。因此，陀螺流体方程是低频流体方程的完全超集。
英文摘要：
The correspondence between gyrofluid and low frequency fluid equations is examined. The lowest order conservative effects in ExB advection, parallel dynamics, and curvature match trivially. The principal concerns are polarisation fluxes, and dissipative parallel viscosity and parallel heat fluxes. The emergence of the polarisation heat flux in the fluid model and its contribution to the energy theorem is reviewed. It is shown that gyroviscosity and the polarisation fluxes are matched by the finite gyroradius corrections to advection in the long wavelength limit, provided that the differences between gyrocenter and particle representations is taken into account. The dissipative parallel viscosity is matched by the residual thermal anisotropy in the gyrofluid model in the collision dominated limit. The dissipative parallel heat flux is matched by the gyrofluid parallel heat flux variables in the collision dominated limit. Hence, the gyrofluid equations are a complete superset of the low frequency fluid equations.
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