Physics – Condensed Matter
Scientific paper
1998-01-28
Physics
Condensed Matter
11 pages, latex, 2 encapsulated postscript figures
Scientific paper
10.1007/s100510050441
We extend the model of surface granular flow proposed in \cite{bcre} to account for the effect of an external `wind', which acts as to dislodge particles from the static bed, such that a stationary state of flowing grains is reached. We discuss in detail how this mechanism can be described in a phenomenological way, and show that a flat bed is linearly unstable against ripple formation in a certain region of parameter space. We focus in particular on the (realistic) case where the migration velocity of the instability is much smaller than the grains' velocity. In this limit, the full dispersion relation can be established. We find that the critical wave vector is of the order of the saltation length. We provide an intuitive interpretation of the instability.
Bouchaud Jean-Philippe
Claudin Philippe
Terzidis Orestis
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