磁约束托卡马克等离子体的弛豫
Relaxation of Magnetically Confined Tokamak-Plasmas to Mechanical Equilibria
摘要：
分析了磁约束等离子体在环形几何中的弛豫。从厄米矩的方程，我们展示了系统如何向力学平衡弛豫。在平行广义摩擦空间中，碰撞磁约束等离子体在快速瞬变后的演化使得平行广义摩擦演化方程与最短路径在厄米矩上的投影重合。对于空间扩展的系统，类似的结果对于{ \it热力学模式}的演化是有效的（即，波数k = 0的模式）。给出了广义摩擦力所覆盖的空间的仿射联络的近似力学平衡表达式。知识的仿射连接的组件是一个基本的先决条件建设的（非线性）封闭理论的运输过程。
英文摘要：
The relaxation of magnetically confined plasmas in a toroidal geometry is analyzed. From the equations for the Hermitian moments, we show how the system relaxes towards the mechanical equilibrium. In the space of the parallel generalized frictions, after fast transients, the evolution of collisional magnetically confined plasmas is such that the projections of the evolution equations for the parallel generalized frictions and the shortest path on the Hermitian moments coincide. For spatially-extended systems, a similar result is valid for the evolution of the {\it thermodynamic mode} (i.e., the mode with wave-number k = 0). The expression for the affine connection of the space covered by the generalized frictions, close to mechanical equilibria, is also obtained. The knowledge of the components of the affine connection is a fundamental prerequisite for the construction of the (nonlinear) closure theory on transport processes.
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