Externally-driven collisions of domain walls in bistable systems near criticality

Details Externally-driven collisions of domain walls in bistable systems near criticality Externally-driven collisions of domain walls in bistable systems near criticality

2011-09-12

arxiv.org/abs/1109.2467v1

Physical Review E 83, 056608 (2011)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevE.83.056608

Multi-domain solutions to the time-dependent Ginzburg-Landau equation in 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.

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