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DY: Fachverband Dynamik und Statistische Physik

DY 43: Pattern Formation - organized by Azam Gholami (Göttingen)

DY 43.3: Talk

Wednesday, March 24, 2021, 14:40–15:00, DYa

Periodic patterns displace active phase separation — •Frederik Thomsen and Walter Zimmermann — Theoretische Physik I, Universität Bayreuth

In this work we identify and investigate a novel bifurcation in conserved systems on one- and two-dimensional spatial domains. This secondary bifurcation stops active phase separation in its nonlinear regime. It is then either replaced by an extended, system-filling, spatially periodic stripe pattern in one spatial dimension or by a hexagonal pattern in two dimensions. In complementary parameter regions phase separation is replaced 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. Both transition scenarios are systems-spanning phenomena in particle conserving systems. They are predicted with a generic dissipative model as described by this contribution. 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.