Suropriya SahaMultifaceted dynamics in the Non-reciprocal Cahn-Hilliard Model

The dynamics of non-reciprocally coupled conserved densities described minimally by the Non-reciprocal Cahn-Hilliard (NRCH) model is rich and varied. In my talk I will explore the pattern forming abilities inherent to the model beyond that travelling waves, which manifest due to a simultaneous breaking of spatial parity and time reversal symmetry. I will discuss the role played by nonlinearities, multispecies interactions, fluctuations, and the coupling to a fluid, in determining the dynamics. Nonlinear non-reciprocal interactions generically lead to imperfect symmetry breaking where phase separated droplets are nucleated which coexist with oscillating densities producing a new type of spatiotemporal chaos called effervescence. Generalising to many components, I will show that non-reciprocity plays a counter-intuitive role in the multi-species NRCH model enhancing its stability while simultaneously enhancing the diversity in dynamics. Finally I will explore the role of fluctuations and coupling to the fluid in determining the stability of the waves and comment on the nature of the spontaneously broken symmetry.