摘要
高温等离子体状态方程是热核聚变实验和理论的重要参数.对于高温低密的等离子体,经典集团展开求解是最佳途径之一.但在应用中会遇到库仑相互作用的长程与短程发散困难.为了解决短程发散问题,本文引进一种半经典的波包近似模型,以波包的相互作用代替点粒子间的相互作用.对于库仑势能的长程发散,依旧采用传统的Debye-Hückel近似.较为简洁地求得了高温低密等离子体的状态方程.对于高温高密等离子,在量子统计的框架内作集团展开,由量子维里函数求得高阶近似的高温高密等离子状态方程.从而拓展了集团展开的应用范围,可以应用于等离子体性质的近一步研究.
The equation of state for non-ideal gas is usually deduced by the method of cluster expansion, but short-range coulomb potential is infinite. Due to the problems, we adopt a new potential model; the interaction between particles is replaced by the interaction between wave packets. There is a simple way to get the equation of state for thin density plasma by following cluster classical expansion, Based on the quantum statistics, we get the equation of state for thick density plasma at high temperature by following the quantum virial cluster expansion, Thus, we expand the range of cluster expansion, the research of palsma could be improved.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第4期875-878,共4页
Journal of Sichuan University(Natural Science Edition)
关键词
等离子体
状态方程
库仑势能
plasma, equation of state, coulomb potential
