有限回转半径电磁非线性回转流体方程的自由能守恒约束推导
Derivation via free energy conservation constraints of gyrofluid equations with finite-gyroradius electromagnetic nonlinearities
摘要：
通过使用基本的delta-f陀螺运动分布函数的Hermite多项式形式，使电磁陀螺流体方程的推导系统化。陀螺自由能功能明确地用于建立模型。陀螺流体自由能直接遵循。的相互作用项中的gyrokinetic拉格朗日被用来获得对应的gyrofluid，从其中的极化方程如下。一个封闭的规则，决定采取的动力学陀螺平均运营商的时刻。这些步骤修正了陀螺流体方程保守部分的其余推导。耗散，然后添加在一种形式，以获得正定耗散，并获得在其适当的限制碰撞流体方程。现有的结果被恢复，除了一个完全一致的模型有限gyroradius效应的非线性负责磁重联。
英文摘要：
The derivation of electromagnetic gyrofluid equations is made systematic by using the Hermite polynomial form of the underlying delta-f gyrokinetic distribution function. The gyrokinetic free-energy functional is explicitly used to set up the model. The gyrofluid free energy follows directly. The interaction term in the gyrokinetic Lagrangian is used to obtain the gyrofluid counterpart, from which the polarisation equation follows. One closure rule is decided for taking moments over the kinetic gyroaveraging operator. These steps fix the rest of the derivation of the conservative part of the gyrofluid equations. Dissipation is then added in a form to obtain positive definite dissipation and to obtain the collisional fluid equations in their appropriate limit. Existing results are recovered, with the addition of a completely consistent model for finite gyroradius effects in the nonlinearities responsible for magnetic reconnection.
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