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DY: Fachverband Dynamik und Statistische Physik

DY 26: Brownian Motion, Transport and Anomalous Diffusion

DY 26.6: Vortrag

Dienstag, 17. März 2020, 11:15–11:30, HÜL 186

Hydrodynamics of Active Levy Matter — Andrea Cairoli and •Chiu Fan Lee — Imperial College, London, U.K.

Collective motion emerges spontaneously in many biological systems such as bird flocks, insect swarms and tissue under dynamic reorganization. This phenomenon is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, single-particle superdiffusion and fat-tailed displacement statistics are also widespread in biology. The collective properties of interacting systems exhibiting such anomalous diffusive dynamics -- which we call active Levy matter -- cannot be captured by current active fluid theories. Here, we formulate a hydrodynamic theory of active Levy matter by coarse-graining a microscopic model of aligning polar active particles performing superdiffusive Levy flights. We then perform a linear stability analysis at the onset of collective motion and find that in contrast to its conventional counterpart, the order-disorder transition can become critical. We further support our analytical predictions with simulation results. This work not only highlights the need for more realistic models of active matter integrating both anomalous diffusive motility and inter-particle interactions, but also potentially enriches the universal properties of active systems.