Enhanced stability and chaotic condensates in multi-species non-reciprocal mixtures

Abstract

Random non-reciprocal interactions between a large number of conserved densities are shown to enhance the stability of the system towards pattern formation. The enhanced stability is an exact result when the number of species approaches infinity and is confirmed numerically by simulations of the multi-species non-reciprocal Cahn-Hilliard model. Furthermore, the diversity in dynamical patterns increases with increasing number of components and novel steady states such as pulsating or spatiotemporally chaotic condensates are observed. Our results may help to unravel the mechanisms by which living systems self-organise via metabolism.

References in corpus (24)

• Motility-Induced Phase Separation
• Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
• Odd dynamics of living chiral crystals
• Nonreciprocity as a generic route to traveling states
• Active phase separation in mixtures of chemically interacting particles
• Phase transitions in biological systems with many components
• Non-reciprocity across scales in active mixtures
• Phoresis and Enhanced Diffusion Compete in Enzyme Chemotaxis
• Instabilities in complex mixtures with a large number of components
• Self-assembly of biomolecular condensates with shared components
• Nonreciprocal pattern formation of conserved fields
• Dynamical pattern formation without self-attraction in quorum-sensing active matter: the interplay between nonreciprocity and motility
• Evolved interactions stabilize many coexisting phases in multicomponent liquids
• Self-organization of primitive metabolic cycles due to non-reciprocal interactions
• Bridging scales in a multiscale pattern-forming system
• Phase transition to chaos in complex ecosystems with non-reciprocal species-resource interactions
• Defect Solutions of the Non-reciprocal Cahn-Hilliard Model: Spirals and Targets
• Eigenvalues of random matrices with generalised correlations: a path integral approach
• Composition Dependent Instabilities in Mixtures With Many Components
• Breakdown of random-matrix universality in persistent Lotka--Volterra communities
• Theory of Elastic Microphase Separation
• Network effects lead to self-organization in metabolic cycles of self-repelling catalysts
• Liquid Hopfield model: retrieval and localization in multicomponent liquid mixtures
• Interaction-motif-based classification of self-organizing metabolic cycles

Cited by in corpus (9)

• Fluctuation Dissipation Relations for Active Field Theories
• Continuous-time multifarious systems -- Part I: equilibrium multifarious self-assembly
• Fluctuation Dissipation Relations for the Non-Reciprocal Cahn-Hilliard Model
• Continuous-time multifarious systems -- Part II: non-reciprocal multifarious self-organization
• Flocking with random non-reciprocal interactions
• Non-reciprocal mixtures in suspension: the role of hydrodynamic interactions
• Random motility regulation as a generic mechanism of community formation
• Non-reciprocal interactions between condensates in chemically active mixtures
• State Diagram of the Non-Reciprocal Cahn-Hilliard Model and the Effects of Symmetry