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DY: Fachverband Dynamik und Statistische Physik
DY 24: Focus Session: New Trends in Nonequilibrium Physics – Conservation Laws and Nonreciprocal Interactions I
DY 24.8: Talk
Wednesday, March 20, 2024, 11:45–12:00, BH-N 243
Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets — •Navdeep Rana1 and Ramin Golestanian1,2 — 1Max Planck Institute for Dynamics and Self-Organization (MPI-DS), D-37077 Goettingen, Germany — 2Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom
We study the defect solutions of the Non-reciprocal Cahn-Hilliard model (NRCH). We find two kinds of defects, spirals with unit magnitude topological charge, and topologically neutral targets. These defects generate radially outward travelling waves and thus break the parity and time-reversal symmetry. 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 disordered state evolves into quasi-stationary spiral network. With increasing non-reciprocity, we observe networks composed primarily of targets. 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.
Keywords: non-reciprocal interactions; cahn-hilliard model; defects; spiral waves; order-disorder transition