Anomalous Collective Dynamics of Auto-Chemotactic Populations

Abstract

While the role of local interactions in nonequilibrium phase transitions is well studied, a fundamental understanding of the effects of long-range interactions is lacking. We study the critical dynamics of reproducing agents subject to autochemotactic interactions and limited resources. A renormalization group analysis reveals distinct scaling regimes for fast (attractive or repulsive) interactions; for slow signal transduction, the dynamics is dominated by a diffusive fixed point. Furthermore, we present a correction to the Keller-Segel nonlinearity emerging close to the extinction threshold and a novel nonlinear mechanism that stabilizes the continuous transition against the emergence of a characteristic length scale due to a chemotactic collapse.

27 pages, 9 figures

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• The nonperturbative functional renormalization group and its applications
• Non-equilibrium Phase Transitions with Long-Range Interactions
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Cited by in corpus (2)

• Logarithmic or algebraic: roughening of an active Kardar-Parisi-Zhang surface
• Chemotaxis-induced phase separation