Periodic patterns displace active phase separation

Abstract

In this work we identify and investigate a novel bifurcation in conserved systems. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then either replaced by an extended, system-filling, spatially periodic pattern or, in a complementary parameter region, by a novel hybrid state with spatially alternating homogeneous and periodic states. The transition from phase separation to extended spatially periodic patterns is hysteretic. We show that the resulting patterns are multistable, as they show stability beyond the bifurcation for different wavenumbers belonging to a wavenumber band. The transition from active phase separation to the hybrid states is continuous. Both transition scenarios are systems-spanning phenomena in particle conserving systems. They are predicted with a generic dissipative model introduced in this work. Candidates for specific systems, in which these generic secondary transitions are likely to occur, are, for example, generalized models for motility-induced phase separation in active Brownian particles, models for cell division or chemotactic systems with conserved particle dynamics.

arXiv comment17 pages, 7 figures

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• Critical behavior of active Brownian particles: Connection to field theories
• Interface roughening in nonequilibrium phase-separated systems
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
• Statistical properties of microphase and bubbly phase-separated active fluids
• Statistics and morphologies of stable droplets in scalar active fluids
• On the band-width of stable nonlinear stripe patterns in finite size systems