Fig. 1: Emergence of effervescence in the dynamical steady-states of the nonlinear NRCH model.
From: Effervescence in a binary mixture with nonlinear non-reciprocal interactions
a We introduce nonlinear non-reciprocal interactions between conserved densities ϕ1,2. The striking feature that emerges on allowing nonspecific nonlinear couplings is the spontaneous nucleation of domains where non-reciprocity nearly vanishes and which we call `reciprocal granules'. These granules coalesce to form phase separated droplets paving the route to spatiotemporal chaos as seen in the snapshots of fields ϕ1,2 at different times. Snapshots of the density field ϕ1, at the times indicated and measured in the units of Γ−1K, demonstrates the effervescent waves in two dimensions corresponding to α0 = 4 and α1 = 5 (see Supplementary Movie S1). The black arrows indicate the direction of the travelling wave. b The amplitude field ∣ϕ∣ corresponding to the snapshots of the wave in a. Note that while a shows a clear striped pattern, ∣ϕ∣ deviates from a constant value in the areas where fluctuating domains are formed. c For α1 comparable to α0, we observe an effervescent steady-state without an accompanying travelling wave. Snapshots of ϕ1 and ∣ϕ∣ from simulations corresponding to α0 = 2.3 and α1 = 4.6 (see Fig. S8 in the SI and Supplementary Movie S2 for the full time evolution) show an abundance of bubbles of random shapes.
