论文标题

完整的自洽弗拉索夫 - 马克斯韦尔解决方案

Full Self-Consistent Vlasov-Maxwell Solution

论文作者

Cordonnier, Aurélien, Leoncini, Xavier, Dif-Pradalier, Guilhem, Garbet, Xavier

论文摘要

磁性限制等离子体的完全自洽的固定固定式弗拉索夫 - 马克斯韦尔是为具有圆柱体对称性的系统而设计的。固定溶液是热力学平衡溶液。这些是通过计算最大化熵和用源项关闭方程而产生的平衡分布函数来获得的,然后通过使用所获得的分布来计算这些方程。这导致了一个自洽的问题,该问题对应于解决一组耦合的二阶非线性微分方程。引入了相关的等离子体参数,并显示了导致血浆约束改善的分叉。相反,在改进的限制环境中,我们在带电颗粒的可整合运动中表现出分离质的出现。

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 non-linear 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 particles.

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