Abstract

We prove that the Debye screening length emerges in an infinitely extended plasma with uniform background described by the nonlinear Vlasov-Poisson equation, interacting with a point charge. While screened stationary states as well as the time-dependent problem are well-studied for the linearized equation, there are few rigorous results on screening in the nonlinear setting. As such, the results presented here cover the stationary case under the assumptions predicted by the linearized theory.

中文翻译：

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与点电荷相互作用的平稳 Vlasov-Poisson 方程的德拜筛选

摘要

我们证明了德拜屏蔽长度出现在具有由非线性 Vlasov-Poisson 方程描述的均匀背景的无限扩展等离子体中，与点电荷相互作用。虽然对线性化方程的筛选平稳状态和时间相关问题进行了充分研究，但在非线性设置中筛选的严格结果很少。因此，此处呈现的结果涵盖了线性化理论预测的假设下的平稳情况。