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arXiv · 2209.01047

Anomalous Collective Dynamics of Auto-Chemotactic Populations

Jasper van der Kolk·Florian Rasshofer·Richard Swiderski·Astik Haldar·Abhik Basu·Erwin Frey
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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.

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Jasper van der Kolk, Florian Rasshofer, Richard Swiderski, Astik Haldar, Abhik Basu, Erwin Frey. 2022-09-02. Anomalous Collective Dynamics of Auto-Chemotactic Populations. https://doi.org/10.1103/physrevlett.131.088201

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