标题： 哈密顿形式的准中性Vlasov-Poisson系统 显示英文标题

标题： Hamiltonian formulation of the quasineutral Vlasov-Poisson system

摘要： 慢流形约化和泊松-狄拉克子流形理论用于推导平面无碰撞磁化Vlasov-Poisson系统的准中性极限的哈密顿形式。 在慢流形上的运动模拟了没有快速朗缪尔振荡的等离子体动力学。 保持准中性要求整体等离子体流动不可压缩。 电场由平衡会引发压缩的等离子体应力来确定。 准中性模型的哈密顿结构综合了不可压缩流体和无碰撞动能方程的已知泊松括号。 显示英文摘要

摘要： Slow manifold reduction and the theory of Poisson-Dirac submanifolds are used to deduce a Hamiltonian formulation for a quasineutral limit of the planar, collisionless, magnetized Vlasov-Poisson system. Motion on the slow manifold models plasma dynamics free of fast Langmuir oscillations. Preservation of quasineutrality requires the bulk plasma flow is incompressible. The electric field is determined by counterbalancing plasma stresses that would otherwise produce compression. The Hamiltonian structure for the quasineutral model synthesizes well-known Poisson brackets for incompressible fluids and collisionless kinetic equations.