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DY: Fachverband Dynamik und Statistische Physik
DY 26: Critical Phenomena and Phase Transitions
DY 26.4: Vortrag
Mittwoch, 7. September 2022, 10:45–11:00, H20
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, Theresienstraße 37, D-80333 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 non-equilibrium phase transitions is well studied, a fundamental understanding of the effects of long-range interactions is lacking. In particular, we ask the question how long-ranged interactions can alter the universal behaviour close to an absorbing state. As a model system, 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.