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BP: Fachverband Biologische Physik

BP 21: Posters - Membranes and Vesicles

BP 21.11: Poster

Dienstag, 21. März 2017, 14:00–16:00, P1A

Nonlinear fractional waves in elastic membranes — •Julian Kappler¹, Shamit Shrivastava², Matthias F. Schneider³, and Roland R. Netz¹ — ¹Freie Universität Berlin, Germany — ²University of Oxford, United Kingdom — ³TU Dortmund, Germany

Recently, there has been experimental interest in nonlinear sound waves in interfaces. In our contribution, we provide a theory for such sound waves. Starting from standard hydrodynamics, we derive a nonlinear fractional wave equation for interfacial sound waves in an elastic membrane on a viscous fluid. Our result constitutes the first derivation of a physical fractional wave equation from first principles. In addition, we compare predictions of our theory to experimental data and find that our model reproduces several key experimental features, such as an abrupt increase in both range and velocity as a function of excitation amplitude.