Ripple and kink dynamics

Details Ripple and kink dynamics Ripple and kink dynamics

2001-06-06

arxiv.org/abs/cond-mat/0106117v3

Phys. Rev. E 64, 041302 (2001)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 10 figure, RevTeX

Scientific paper

10.1103/PhysRevE.64.041302

We propose a relevant modification of the Nishimori-Ouchi model [{\em Phys. Rev. Lett.} {\bf 71}, 197 (1993)] for granular landscape erosion. We explicitly introduce a new parameter: the angle of repose $\theta_r$, and a new process: avalanches. We show that the $\theta_r$ parameter leads to an asymmetry of the ripples, as observed in natural patterns. The temporal evolution of the maximum ripple height $h_{max}$ is limited and not linear, according to recent observations. The ripple symmetry and the kink dynamics are studied and discussed.

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