Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 67: Poster: Active Matter, Microswimmers

DY 67.6: Poster

Thursday, March 15, 2018, 15:30–18:00, Poster A

Mode-Coupling Theory for Active Particles in Shear Flow — •Julian Reichert and Thomas Voigtmann — Deutsches Zentrum für Luft- und Raumfahrt e.V., Linder Höhe, 51147 Köln

We use the Integration through transients formalism to derive a Green-Kubo relation for non-equilibrium transport coefficients of active Brownian hard disks under shear flow, starting from a microscopic kinetic description. This approach has already proven to be successful in calculating the non-equilibrium swim velocities of active Brownian hard disks without shear and uses the Fourier transformed transient non-equilibrium density-density correlation function as an input. The transient density-density correlation function can be approximated by making use of the Mode-coupling theory (MCT) and plays an important role in the context of glass-forming-liquids. MCT has successfully been applied to passive Brownian particles under homogeneous steady shear flows and for active Brownian particles without shear. Our tak is now to combine both theories by what we hope to learn more about the interplay of the intrinsic active forces and the external flow.

References

1. Liluashvili, A., Ónody, J., and Voigtmann, Th., Mode Coupling Theory for Active Brownian Particles, Phys. Rev. E in press, arXiv:1707.07373 (2017).

2. Fuchs, M., Cates, M.E., A mode coupling theory for brownian particles in homogeneous steady shear flow, Journal of Rheology, 53 (957) (2009).