利用Ginzburg-Landau方程模拟了螺旋波斑图的动力学行为,研究了初始条件、边界条件和边界形状对斑图的影响.模拟结果显示:初始条件和控制参数决定斑图的类型;边界条件引入了环境与系统的相互作用.当边界条件的对称性与力场的对称性不同时,系统状态是2种不同对称性相互作用的结果,即边界条件对斑图形态进行一定的调制,区域尺度越小,边界作用越明显,模拟结果与实验结果相符.该研究对于深入理解及控制螺旋波斑图具有重要参考意义.
Dynamics of spiral patterns has been simulated using the Ginzburg-Landau equation. The influences of initial condition, boundary perturbation and boundary shape have been simulated. The simulation result shows that the initial condition and the parameters control the type of pattern; boundary condition incorporates the interplay between the environment and the system. When the symmetry of the boundary conditions is different from the symmetry of the force field, the system state is the result of the two different symmetries interacting. That is the boundary conditions modulate the pattern morphology to some extent. The smaller the area scale, the more obvious the boundary effect.The simulated results match the experiment results. This work is of importance for understanding and controlling spiral patterns.
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