一维Complex Ginzburg-Landau方程的格子Boltzmann方法研究  

Lattice Boltzmann Method for One-Dimensional Complex Ginzburg-Landau Equation

作　　者：周建槐[1] 邓敏艺[1] 唐国宁[1] 孔令江[1] 刘慕仁[1] 

机构地区：[1]广西师范大学物理与电子工程学院,广西桂林541004

出　　处：《广西师范大学学报（自然科学版）》2008年第4期18-21,共4页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10562001,10765002,10762005);广西研究生教育创新计划资助项目(2008106020702M241)

摘　　要：首先对一维Complex Ginzburg-Landau方程(CGLE)进行实虚部分离,在系数c1=0的情况下,由格子Boltzmann方程推导出宏观反应扩散方程,确定粒子速度和弛豫时间的关系;然后从数值模拟方面有效地分析了方程解的相图轨道、波形图随波数k以及反应参数c2的变化。The real and imaginary parts were separated from one-dimensional complex C;inzburg-Lanaau equation. When the factor cl is zero, macro-reaction-diffusion equation and the relationship between the particle velocity and the relaxation time are given through the lattice Boltzmann equation. Then, the phase diagram of the track,the wave of response to the change of wave number k and parameter c2 are analysized effectively by the numerical simulation.

关 键 词：格子BOLTZMANN模型 COMPLEX Ginzburg—Landau方程 波数 

分 类 号：O450[理学—无线电物理]