A general theory for gauge-free lifting
A general theory for gauge-free lifting
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DOI：
10.1063/1.4774063
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发表时间：
2010-11
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影响因子：
--
通讯作者：
P. Morrison
中科院分区：
文献类型：
--
作者：
P. Morrison
给出了带电粒子动力学在给定电磁类力作用下直到无规范耦合哈密顿类Vlasov-Maxwell方程组的运动方程的提升理论。根据物质的粒子动力学描述，该理论提供了极化矢量场和磁化矢量场的非常一般的表达式。因此，就像等离子体物理学中常见的那样，粒子动力学取代了物质的传统本构关系。我们考虑了几个例子，包括通常的Vlasov-Maxwell理论、引导中心运动学理论、包含自旋的Vlasov-Maxwell理论和包含狄拉克磁单极子的Vlasov-Maxwell理论。证明了它们都是哈密顿场论，并直接证明了雅可比恒等式。
A theory for lifting equations of motion for charged particle dynamics, subject to given electromagnetic like forces, up to a gauge-free system of coupled Hamiltonian Vlasov-Maxwell like equations is given. The theory provides very general expressions for the polarization and magnetization vector fields in terms of the particle dynamics description of matter. Thus, as is common in plasma physics, the particle dynamics replaces conventional constitutive relations for matter. Several examples are considered including the usual Vlasov-Maxwell theory, a guiding center kinetic theory, Vlasov-Maxwell theory with the inclusion of spin, and a Vlasov-Maxwell theory with the inclusion of Dirac's magnetic monopoles. All are shown to be Hamiltonian field theories and the Jacobi identity is proven directly.