2004/09/09 by C. M. Pooley, Julia M. Yeomans, J. M. Yeomans · 1 citation
Computer Science · Engineering · Materials Science · Physics and Astronomy · #Granular flow and fluidized beds #Material Dynamics and Properties #Nonlinear Dynamics and Pattern Formation #cond-mat.mtrl-sci #cond-mat.other
paper · pdf · doi:10.1103/physrevlett.93.118001
published as Phys. Rev. Lett. 93, 118001-4 (2004) · 4 Pages, 3 Figures
openalex publication_date 2004/09/09 · arxiv created 2004/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider pattern formation in periodically forced binary systems. In particular, we focus on systems in which the two species are differentially forced, one being accelerated with respect to the other. Using a continuum model consisting of two isothermal ideal gases which interact via a frictional force we demonstrate analytically that stripes form spontaneously above a critical forcing amplitude. The wavelength of the stripes is found to be close to the wavelength of sound in the limit of small viscosity. The results are confirmed numerically. We suggest that the same mechanism may contribute to the formation of stripes in experiments on horizontally oscillated granular mixtures.