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

TL;DR

This paper investigates how external fields influence domain wall collisions in bistable systems near criticality, revealing dynamics similar to magnetic domain walls and the formation of complex structures.

Contribution

It introduces a detailed analysis of domain-wall collisions in the Ginzburg-Landau equation near critical points using Hirota bilinearization, highlighting new collision behaviors and pattern formations.

Findings

Domain-wall dynamics resemble magnetic domain walls.

Collision-induced bubble and pattern structures are observed.

Mutual annihilation of fronts in unstable states is described.

Abstract

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.