Robustness of travelling states in generic non-reciprocal mixtures

Abstract

Emergent non-reciprocal interactions violating Newton's third law are widespread in out-of-equilibrium systems. Phase separating mixtures with such interactions exhibit travelling states with no equilibrium counterpart. Using extensive Brownian dynamics simulations, we investigate the existence and stability of such travelling states in a generic non-reciprocal particle system. By varying a broad range of parameters including aggregate state of mixture components, diffusivity, degree of non-reciprocity, effective spatial dimension and density, we determine that travelling states do exist below the predator-prey regime, but nonetheless are only found in a narrow region of the parameter space. Our work also sheds light on the physical mechanisms for the disappearance of travelling states when relevant parameters are being varied, and has implications for a range of non-equilibrium systems including non-reciprocal phase separating mixtures, non-equilibrium pattern formation and predator-prey models.

6 pages, 5 figures

References in corpus (10)

• Casimir forces between arbitrary compact objects
• Nonreciprocity as a generic route to traveling states
• Active phase separation in mixtures of chemically interacting particles
• Non-reciprocity across scales in active mixtures
• Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings
• Nonreciprocal pattern formation of conserved fields
• Dynamical pattern formation without self-attraction in quorum-sensing active matter: the interplay between nonreciprocity and motility
• Nonreciprocal Cahn-Hilliard model emerges as a universal amplitude equation
• Competition of Brazil nut effect, buoyancy, and inelasticity induced segregation in a granular mixture
• Non-reciprocal interactions enhance heterogeneity

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• Anti-aligning Self-propelled Model of Two Species: Emergence of Self-organized Heterogeneous Aligned and Clustered Order
• Phase separation of chemokinetic active particles