Regensburg 2022 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 44: Poster Session: Statistical Physics and Critical Phenomena
DY 44.18: Poster
Thursday, September 8, 2022, 15:00–18:00, P2
Anomalous collective dynamics of auto-chemotactic populations — Jasper van der Kolk1, Florian Raßhofer1, •Richard Swiderski1, Astik Haldar2, Abhik Basu2, and Erwin Frey1,3 — 1Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Department of Physics, Ludwig-Maximilians-Universität München, Munich, Germany — 2Theory Division, Saha Institute of Nuclear Physics, HBNI, 1/AF Bidhannagar, Calcutta 700 064, West Bengal, India — 3Max Planck School Matter to Life, Hofgartenstraße 8, 80539 Munich, Germany
While the role of local interactions in nonequilibrium phase transitions is well studied, a fun- damental understanding of the effects of long-range interactions is lacking. We study the critical dynamics of reproducing agents subject to auto-chemotactic 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. Further, we present a novel nonlinear mechanism that stabilizes the continuous transition against the emergence of a characteristic length scale due to a chemotactic collapse.