Non-reciprocal Phase Separations with Non-conserved Order Parameters

Abstract

We numerically investigate the phase separation dynamics of the non-reciprocal Allen-Cahn model in which two non-conserved order parameters are coupled. The system exhibits several dynamical patterns such as the randomly oscillating phase and the spiral phase as well as the homogeneously oscillating phase. Topological defects in the spirals are either bound or unbound depending on the non-reciprocality. The traveling stripe pattern is also found when the diffusion constants are highly asymmetric and the non-reciprocality is small.

arXiv comment5 pages, 3 figures

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• Pattern dynamics of the nonreciprocal Swift-Hohenberg model
• Solving the Kinetic Ising Model with Non-Reciprocity
• Higher-codimension points as organizing centers in nonreciprocal pattern-forming systems with O(2)-symmetry