The dune size distribution and scaling relations of barchan dune fields

Details The dune size distribution and scaling relations of barchan dune fields The dune size distribution and scaling relations of barchan dune fields

2007-01-16

arxiv.org/abs/cond-mat/0701367v2

Granular Matter 11, 7-11 (2009)

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 4 figures. Submitted for publication

Scientific paper

Barchan dunes emerge as a collective phenomena involving the generation of thousands of them in so called barchan dune fields. By measuring the size and position of dunes in Moroccan barchan dune fields, we find that these dunes tend to distribute uniformly in space and follow an unique size distribution function. We introduce an analyticalmean-field approach to show that this empirical size distribution emerges from the interplay of dune collisions and sand flux balance, the two simplest mechanisms for size selection. The analytical model also predicts a scaling relation between the fundamental macroscopic properties characterizing a dune field, namely the inter-dune spacing and the first and second moments of the dune size distribution.

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