您的位置:首页  > 论文页面

Grüner方程的向量场分析与电荷密度波

发表时间:2008-04-15  浏览量:1555  下载量:505
全部作者: 李连钢,阮永丰
作者单位: 天津大学理学院
摘 要: Grüner方程是研究电荷密度波的经典模型,它是一个非线性微分方程,没有解析解。本文通过非线性微分方程的广义旋转向量场理论,证明Grüner方程在它所满足的物理条件下,其解一定是周期性的,并且是唯一的。在过阻尼情况下,外场E的临界值是一个恒定值,并且这个值就是方程中的E0。由此得到的对电荷密度波非线性电导描述的理论结果与FLEMING的经验公式完全相同。
关 键 词: 凝聚态物理;电荷密度波(CDW);单摆;非线性电导;Grüner方程;旋转向量场
Title: The analysis of vector field for the Grüner�sequation and charge-density waves
Author: LI Liangang, RUAN Yongfeng
Organization: School of Sciences, Tianjin University
Abstract: The Grüner�s equation is a classical model for studying the charge-density wave, which is a typical nonlinear differential equation. Although GR媲NER proposed the equation, it hadn�t been solven rigorously. This paper analyzes the equation by the method of the rotating vector field theory. Using the mathematical analysis obtains the relation between the applied field E and the periodical solution of the equation, and the conclusion that in the over damping situation the E0 in Grüner�s equation is just the critical value of the applied field E. The theoretical formulae derived from those, for describing nonlinear conductivity of charge density wave, is consistent with the experiential formula given by FLEMING.
Key words: condensed matter physics; chargedensity wave(CDW); pendulum; nonlinear conductivity; Grüner�s equation; rotating vector field
发表期数: 2008年8月第7期
引用格式: 李连钢,阮永丰. Grüner方程的向量场分析与电荷密度波[J]. 中国科技论文在线精品论文,2008,1(7):793-799.
 
0 评论数 0
暂无评论
友情链接