Asymptotic Dynamics of Dispersive, Collisionless Plasmas
Asymptotic Dynamics of Dispersive, Collisionless Plasmas
复制标题
DOI：
10.1007/s00220-022-04317-w
复制
发表时间：
2021-06
影响因子：
2.4
通讯作者：
S. Pankavich
中科院分区：
文献类型：
--
作者：
S. Pankavich
用Vlasov-Poisson系统模拟了一个多物种无碰撞等离子体。假设电场以足够快的速度衰减，我们证明了粒子分布的速度特征和空间平均值随着时间的增大而收敛。利用这些极限，我们建立了电场及其导数的精确渐近轮廓，以及电荷和电流密度。修正后的空间特性在极限电场作用下收敛。最后，我们建立了每个粒子分布函数的修正散射结果，即它们沿修正的空间特征收敛。当等离子体是非中性时，对这些量的估计是尖锐的，而在中性的情况下，它们可能意味着更快的衰变速率。
A multispecies, collisionless plasma is modeled by the Vlasov–Poisson system. Assuming that the electric field decays with sufficient rapidity as, we show that the velocity characteristics and spatial averages of the particle distributions converge as time grows large. Using these limits we establish the precise asymptotic profile of the electric field and its derivatives, as well as, the charge and current densities. Modified spatial characteristics are then shown to converge using the limiting electric field. Finally, we establish a modifiedscattering result for each particle distribution function, namely we show that they converge asalong the modified spatial characteristics. When the plasma is non-neutral, the estimates of these quantities are sharp, while in the neutral case they may imply faster rates of decay.