Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France.
CEA, IRFM, F-13108 St. Paul-lez-Durance cedex, France.
Phys Rev E. 2022 Dec;106(6-1):064209. doi: 10.1103/PhysRevE.106.064209.
Full self-consistent stationary Vlasov-Maxwell solutions of magnetically confined plasmas are built for systems with cylindrical symmetries. The stationary solutions are thermodynamic equilibrium solutions. These are obtained by computing the equilibrium distribution function resulting from maximizing the entropy and closing the equations with source terms that are then computed by using the obtained distribution. This leads to a self-consistent problem corresponding to solving a set of two coupled second order nonlinear differential equations. Relevant plasma parameters are introduced and a bifurcation leading to an improvement of plasma confinement is shown. Conversely, in the improved confinement setting, we exhibit the emergence of a separatrix in the integrable motion of a charged particle .
建立了具有圆柱对称性的磁约束等离子体的全自洽定态 Vlasov-Maxwell 解。定态解是热力学平衡解。这些解是通过计算最大熵产生的平衡分布函数，并利用得到的分布函数来计算源项，从而得到的。这导致了一个与求解一组两个耦合二阶非线性微分方程相对应的自洽问题。引入了相关的等离子体参数，并显示了导致等离子体约束改善的分岔。相反，在改进的约束设置中，我们展示了带电粒子在可积运动中的分离现象的出现。
