标题： 不变量的代数结构对于Vlasov-Maxwell系统 显示英文标题

标题： Algebra of Invariants for the Vlasov-Maxwell System

摘要： 相对论和非相对论多粒子Vlasov-Maxwell系统的不变量代数被研究，包括固定离子背景的情况。 从Vlasov-Maxwell系统直接得到了不变量及其相关的通量。 证明了这些不变量与哈密顿量以及其余的不变量泊松括号代数相交换。 特别关注单极子条件$\nabla\cdot \mathbf{B}$所起的作用。 显示英文摘要

摘要： The algebra of invariants for both the relativistic and nonrelativistic multispecies Vlasov-Maxwell system is examined, including the case with a fixed ion background. Invariants and their associated fluxes are obtained directly from the Vlasov-Maxwell system. The invariants are shown to Poisson commute with the Hamiltonian and the rest of the Poisson bracket algebra of invariants is identified. Special attention is given to the role played by the monopole condition, $\nabla\cdot \mathbf{B}$.