Theory for the spatiotemporal dynamics of domain walls close to a nonequilibrium Ising-Bloch transition

Phys Rev Lett. 2015 Feb 27;114(8):084101. doi: 10.1103/PhysRevLett.114.084101. Epub 2015 Feb 27.

Abstract

We derive a generic model for the interaction of domain walls close to a nonequilibrium-Bloch transition. The universal scenario predicted by the model includes stationary Ising and Bloch localized structures (dissipative solitons), as well as drifting and oscillating Bloch structures. Our theory also explains the behavior of Bloch walls during a collision. The results are confirmed by numerical simulations of the Ginzburg-Landau equation forced at twice its natural frequency and are in agreement with previous observations in several physical systems.