Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Statistical Physics far from Thermal Equilibrium
DY 30.9: Vortrag
Mittwoch, 3. April 2019, 12:30–12:45, H6
Response of active Brownian particles to shear flow — •Kiryl Asheichyk1, 2, Alexandre Solon3, Christian Rohwer1, 2, and Matthias Krüger4 — 14th Institute for Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany — 2Max Planck Institute for Intelligent Systems, Heisenbergstrasse 3, 70569 Stuttgart, Germany — 3Sorbonne University, CNRS, LPTMC, F-75005 Paris, France — 4Institute for Theoretical Physics, University of Göttingen, 37073 Göttingen, Germany
We study the linear response of interacting active Brownian particles to simple shear flow. Using the path integral approach, we derive the linear response of any state observable after starting shear in terms of correlation functions evaluated for the unperturbed system. For systems and observables which are symmetric under exchange of x and y coordinates, the response formula can be drastically simplified to a form containing only state variables in the corresponding correlation functions (compared to the generic formula containing also time derivatives). The shear couples to the particles by both translational and rotational advection. In the mentioned case of symmetry, we also show that only translational advection is relevant in the linear regime. We apply the obtained formulas analytically and numerically to specific model setups. In particular, we investigate the morphology of a cluster of confined active interacting particles in shear flow, where we show that the activity increases the response.