论文标题
Debye筛选固定的Vlasov-Poisson方程与点电荷相互作用
Debye screening for the stationary Vlasov-Poisson equation in interaction with a point charge
论文作者
论文摘要
我们证明，Debye筛选长度出现在由非线性Vlasov-Poisson方程与点电荷相互作用的空间均匀等离子体中。虽然对线性化方程式进行了筛选的固定状态以及时间依赖性问题，但在非线性设置中筛选几乎没有严格的结果。因此，此处介绍的结果涵盖了线性化理论预测的假设下的固定案例。
We prove that the Debye screening length emerges in a spatially homogeneous plasma 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.
