# Dresden 2017 – wissenschaftliches Programm

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# BP: Fachverband Biologische Physik

## BP 41: Active Matter I (Joint Session DY/BP/CPP)

### BP 41.6: Vortrag

### Mittwoch, 22. März 2017, 16:15–16:30, HÜL 186

**Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions** — Stefano Steffenoni^{1}, •Gianmaria Falasco^{2}, and Klaus Kroy^{2} — ^{1}Max planck for the mathematics in the science, leipzig — ^{2}Institute for theoretical physics, leipzig

We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic description is performed by locally averaging the particle dynamics with the non-equilibrium many-particle probability density, whose formal expres- sion is found in the physically relevant limit of high-friction through a multiple-time-scale analysis. This approach permits to identify the conditions under which self-propulsion can be subsumed into the fluid stress tensor and thus to define systematically and unambiguously the local pressure and surface tension of the active fluid.