Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 37: Aktive Matter I (joint session DY/BP/CPP)
DY 37.6: Talk
Wednesday, March 22, 2017, 16:15–16:30, HÜL 186
Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions — Stefano Steffenoni1, •Gianmaria Falasco2, and Klaus Kroy2 — 1Max planck for the mathematics in the science, leipzig — 2Institute 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.