1998/01/31 by Jens Eggers, Hermann Riecke · 55 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Acoustics #Classical mechanics #Condensed matter physics #Connection (principal bundle) #Dispersion (optics) #Dispersion relation #Excited state #Faraday cage #Fluid Dynamics and Heat Transfer #Geometry #Granular flow and fluidized beds #Hysteresis #Magnetic field #Material Dynamics and Properties #Mathematics #Mechanics #Optics #Physics #Quantum mechanics #Scaling #Vibration #nlin.PS #patt-sol
paper · pdf · doi:10.1103/physreve.59.4476
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 59(4), 4476-4483 (American Physical Society) · paper has been considerably extended (11 instead of 6 pages; 6 instead of 4 figures) much better agreement with experiment. obtain now oscillons in 1 dimension
arxiv created 1998/12/08 · openalex publication_date 1999/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The motion of a thin layer of granular material on a plate undergoing sinusoidal vibrations is considered. We develop equations of motion for the local thickness and the horizontal velocity of the layer. The driving comes from the violent impact of the grains on the plate. A linear stability theory reveals that the waves are excited nonresonantly, in contrast to the usual Faraday waves in liquids. Together with the experimentally observed continuum scaling, the model suggests a close connection between the neutral curve and the dispersion relation of the waves, which agrees quite well with experiments. For strong hysteresis we find localized oscillon solutions.