Coexistence of uniform and oscillatory states resulting from nonreciprocity and conservation laws

Abstract

Employing a two-species Cahn-Hilliard model with nonreciprocal interactions we show that the interplay of nonreciprocity and conservation laws results in the robust coexistence of uniform stationary and oscillatory phases as well as of uniform and crystalline phases. For nonequilibrium models with a spurious gradient dynamics structure such coexistencies between two or more nonequilibrium phases and resulting phase diagrams can nevertheless be predicted by a Maxwell double-tangent construction. This includes phases with sustained regular or irregular out-of-equilibrium dynamics as further corroborated by bifurcation studies and time simulations.

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• Theory of Nonequilibrium Multicomponent Coexistence
• Local Order Controls the Onset of Oscillations in the Nonreciprocal Ising Model
• Theory of Nonequilibrium Coexistence with Coupled Conserved and Nonconserved Order Parameters
• Gradient dynamics model for chemically driven running drops
• What is active wetting?
• Steady inhomogeneous shear flows as mechanical phase transitions
• State Diagram of the Non-Reciprocal Cahn-Hilliard Model and the Effects of Symmetry
• Active Cahn-Hilliard theory for nonequilibrium phase separation: quantitative macroscopic predictions and a microscopic derivation
• Higher-codimension points as organizing centers in nonreciprocal pattern-forming systems with O(2)-symmetry