外界场作用下的波前曲率关系和波形变化  

Curvature Relation of Wave Front and Wave Changing in External Field

作　　者：刘深泉[1] 宋乐[2] 

机构地区：[1]华南理工大学应用数学系,广州510640 [2]悉尼大学信息技术学院

出　　处：《应用数学和力学》2005年第7期854-860,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19902005)

摘　　要：　研究外界场作用下,激发介质的波前曲率关系和波形变化·　理论分析波前曲率关系,得到外界场作用下,波前的法向速度与波前平均曲率、平面波速和外界场之间的线性关系·　数值分析外界场作用下,激发介质的Bar_Eiswirth模型,得到外界场作用下激发介质的波形图案·　这里的理论分析、数值结果与BZ反应的实验结果完全一致,从而解释了外界场作用下的BZ现象。The changing of wave structure in excitable media in external field is studied and the curvature relation of wave front is analyzed. Under external stimulus the normal velocity of wave front has linear relation with mean curvature of wave front, plane velocity and external field. The simulation methods have been used to analyze Bar_Eiswirth model with external field and obtain the wave pattern of excitable media contained external stimulus. These theoretical analysis and simulation results are identical with experiments of BZ reaction. So the results here theoretically explain the BZ phenomenon under external field and the simulation results here have rich wave patterns.

关 键 词：激波介质 螺旋波 图案 外界场 

分 类 号：O534[理学—等离子体物理] O362[理学—物理]