摘要
模耦合理论比较成功地解释了微波不稳定性的发生 ,其理论基础是Vlasov方程 .Fokker Planck方程包含了束团的辐射阻尼效应和量子激发效应 ,是比较完备地描述粒子运动状态的束团分布方程 .比较了Fokker Planck方程和Vlasov方程在来源、意义和解法方面的关联和不同 ,同时介绍了一种多项式展开束团耦合模式来求解Fokker Planck方程的方法 。
Mode coupling theory successfully explains the microwave instability, and the Vlasov equation is the basic of the theory. Fokker Planck equation describes the distribution of the particles in bunch, which includes damping effect and the quantum excitation effect. We compare the Fokker Planck equation with the Vlasov equation in the aspects of the origin, physics meaning, solution, and also introduce the method of polynomial expansion to solve the equation.
出处
《高能物理与核物理》
CSCD
北大核心
2003年第3期268-272,共5页
High Energy Physics and Nuclear Physics
