无碰撞等离子体扩展流体描述中的一个守恒热-力学不变量
A conserved thermo-mechanic invariant in extended fluid description of collisionless plasmas
AI总结：
该研究通过扩展16矩流体描述，发现无碰撞各向异性等离子体中存在与热通量耦合的新型守恒热-力学不变量，揭示了其稳态分支的独特性质。
摘要：
我们采用保留平行和垂直热通量的扩展16矩流体描述，研究低频极限下不可压缩、弱碰撞、各向异性等离子体的线性扰动。我们识别出一类与守恒热-力学不变量相关的新型线性扰动，这是一种涉及热通量、速度和磁场耦合扰动的时间独立非周期结构。在忽略热通量的标准CGL极限中，不存在该不变量的直接类似物。保留热通量动力学会改变系统的线性结构，将三阶速度矩提升为自治变量，并产生具有热、动能和磁分量耦合的热-力学模式。相关扰动本质上是局域化的，倾向于形成致密、丝状的非周期结构。该热-力学不变量揭示了无碰撞各向异性等离子体动力学中此前未被探索的稳态分支，其特征是固定的代数极化，强制相关扰动场之间的时间独立关系。
英文摘要：
We investigate linear perturbations of an incompressible, weakly collisional, anisotropic plasma in the low frequency limit using an extended 16-moment fluid description that retains parallel and perpendicular heat fluxes. We identify a new class of linear perturbations associated with a conserved thermo-mechanic invariant, a time independent, aperiodic structure involving coupled perturbations of heat fluxes, velocity, and magnetic field. In the standard CGL limit, where heat fluxes are neglected, no direct analogue of this invariant exists. Retaining heat flux dynamics alters the linear structure of the system promoting third order velocity moments to autonomous variables and gives rise to a thermo-mechanic mode with coupled thermal, kinetic, and magnetic components. The associated perturbations are inherently localized, favoring compact, filamentary aperiodic structures. The thermo-mechanic invariant reveals a previously unexplored stationary sector of collisionless anisotropic plasma dynamics, characterized by a fixed algebraic polarization that enforces time independent relations among the relevant perturbation fields.
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