Dresden 2017 – wissenschaftliches Programm
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.