标题： 自洽Vlasov方程的精确解 显示英文标题

标题： Exact Solution of selfconsistent Vlasov equation

摘要： 自洽Vlasov方程的解析解被提出。 时间演化完全由初始分布函数决定。 最大的Lyapunov指数被解析地计算出来。 对于模型势的特殊参数，可能得到正的Lyapunov指数。 该模型可作为检验求解自洽Vlasov方程的数值代码的工具。 此处提出的方法也适用于任何具有势的形函数的哈密顿方程解析解的系统。 显示英文摘要

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.