Exact Solution of selfconsistent Vlasov equation
等离子体物理
2024-08-02 v1 统计力学
数学物理
math.MP
可精确求解与可积系统
核理论
计算物理
solv-int
摘要
An analytical solution of the selfconsistent Vlasov equation is presented. The time evolution is entirely determined by the initial distribution function. The largest Lyapunov exponent is calculated analytically. For special parameters of the model potential positive Lyapunov exponent is possible. This model may serve as a check for numerical codes solving selfconsistent Vlasov equations. The here presented method is also applicable for any system with analytical solution of the Hamilton equation for the formfactor of the potential.
引用
@article{arxiv.physics/9703021,
title = {Exact Solution of selfconsistent Vlasov equation},
author = {K. Morawetz},
journal= {arXiv preprint arXiv:physics/9703021},
year = {2024}
}