LMP Seminar: Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets

I will talk about the defect solutions of the Non-reciprocal Cahn-Hilliard model. We find two kinds of defects, spirals with unit magnitude topological charge, and topologically neutral targets. For a given strength of non-reciprocity, spirals and targets with unique asymptotic wavenumber and amplitude are selected. We use large-scale simulations to show that at low non-reciprocity, a quenched disordered state evolves into quasi-stationary spiral networks. With increasing non-reciprocity, we observe defect networks composed primarily of targets and beyond a critical threshold, a disorder-order transition from defect networks to travelling waves emerges. The transition is marked by a sharp rise in the global polar order.

Reference
Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets, Navdeep Rana and Ramin Golestanian https://arxiv.org/abs/2306.03513