Anomalous nonequilibrium Ising-Bloch bifurcation in discrete systems.
We investigate the self-organization of two-dimensional activator-inhibitor discrete bistable systems in the neighborhood of a nonequilibrium Ising-Bloch bifurcation. The system exhibits an anomalous transition--induced by discretization--whose signature is the coexistence of Ising and Bloch walls for selected values of the spatial coupling. After curvature reduction of Bloch walls, coexistence gives rise to a unique and striking spatiotemporal dynamics: Bloch walls drive the motion and Ising walls play the role of "extended defects" oriented along the background grid directions. Strong enough external noise asymptotically restores the scenario found in the continuum limit.
Izús
Gonzalo
G
Grupo de Física No Lineal, Fac. de Física, Universidad de Santiago de Compostela, E-15782 Santiago de Compostela, Spain. izus@mdp.edu.ar
Pazó
Diego
D
Deza
Roberto R
RR
Pérez-Muñuzuri
Vicente
V