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Dresden 2020 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 54: Poster: Active Matter and Microswimmers (joint session DY/TT)

DY 54.8: Poster

Donnerstag, 19. März 2020, 15:00–18:00, P1A

Random Caustics in active random walks in random environments — •King Hang Mok1,2 and Ragnar Fleischmann11Max-Planck-Institut für Dynamik und Selbstorganisation, Göttingen, Germany — 2Institut für Dynamik komplexer Systeme, Georg-August-Universität Göttingen

The trail patterns of Argentine ants can show striking resemblance to the branched flow patterns of waves in correlated random environments. Branched flow is a general phenomenon that is widely observable in nature, such as in the electron flow in semiconductors, tsunami waves in the ocean or the propagation of light and sound through turbulent media. An important mechanism in branched flows is the formation of random caustics, singularities in the ray density corresponding to the wave flow.

We study the density fluctuations of active random walks biased by correlated random environments, resembling the motion of Argentine ants in Gaussian random fields of pheromones. We analyse in which parameter regimes reminiscences of the caustics of the deterministic dynamics in quenched disorder can be observed in the random walk.

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