SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 31: Microswimmers and Fluid Physics of Life (joint session DY/CPP)
DY 31.5: Vortrag
Mittwoch, 29. März 2023, 16:00–16:15, MOL 213
Synchronization of model cilia by time-dependent elasto-hydrodynamics — •Albert von Kenne1, Holger Stark2, and Markus Bär1 — 1Physikalisch-Technische Bundesanstalt (PTB), 10587 Berlin — 2Technische Universität Berlin, 10623 Berlin
Collections of hair-like micro actuators known as cilia are employed in biology to pump extra cellular fluids at low Reynolds number conditions. Their collective dynamics exhibit synchronization and a large scale coordinated motion called metachronal waves. Typically, simple models that characterize the self-organization among hydrodynamically interacting cilia neglect the inertial forces in the fluid against the viscous forces. In this case, the mutual flows are determined instantaneously through the forces exerted by cilia. Consequentially synchronization requires a symmetry breaking external to hydrodynamics, that can come from elastic responses to flow perturbations (T. Niedermayer et al., Chaos 2008). Meanwhile, experiments show that inertial forces are significant in microscopic flow at the relevant scales (D. Wei et al. Phys. Rev. Lett. 2019). In this situation, the fluid response is explicitly time-dependent and hydrodynamic correlations can lead to synchronization (M. Theers and R. Winkler, Phys. Rev. 2013). We derived a simplified phase-oscillator model that describes the leading order coupling between cilia by elastic responses and hydrodynamic correlations. We show that its interrelations don’t change the collective state qualitatively. However, the strength of coupling is always increased.