Labyrinthine patterns transitions

Abstract

Macroscopic systems with injection and dissipation of energy exhibit intricate dissipative structures. Labyrinthine patterns are disordered spatial structures arising into homogeneous media that show a short-range order. Here, we investigate the stability properties, classification, and transitions of labyrinthine patterns. Based on a prototype pattern forming model, we characterize the existence of three types of labyrinthine patterns-fingerprint type, glassy, and scurfy-and reveal the bifurcation diagram. The defects density, free energy, structure factor, and correlation length are used as order parameters.