Janutka Andrzej
Institute of Physics, Wroclaw University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 May;83(5 Pt 2):056608. doi: 10.1103/PhysRevE.83.056608. Epub 2011 May 17.
Multidomain solutions to the time-dependent Ginzburg-Landau equation in the presence of an external field are analyzed using the Hirota bilinearization method. Domain-wall collisions are studied in detail considering different regimes of the critical parameter. I show the dynamics of the Ising and Bloch domain walls of the Ginzburg-Landau equation in the bistable regime to be similar to that of the Landau-Lifshitz domain walls. Domain-wall reflections lead to the appearance of bubble and pattern structures. Above the Bloch-Ising transition point, spatial structures are determined by the collisions of fronts propagating into an unstable state. Mutual annihilation of such fronts is described.
利用广田双线性化方法分析了存在外场时含时金兹堡 - 朗道方程的多域解。考虑临界参数的不同情况，详细研究了畴壁碰撞。我表明，在双稳区域中，金兹堡 - 朗道方程的伊辛和布洛赫畴壁动力学与朗道 - 里夫希茨畴壁的动力学相似。畴壁反射导致气泡和图案结构的出现。在布洛赫 - 伊辛转变点之上，空间结构由传播到不稳定状态的前沿碰撞决定。描述了此类前沿的相互湮灭。
