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arxiv: cond-mat/0105611 · v3 · submitted 2001-05-31 · ❄️ cond-mat.stat-mech · cond-mat.soft

Labyrinthic granular landscapes

classification ❄️ cond-mat.stat-mech cond-mat.soft
keywords labyrinthicwindgranularlandscapeappearanceasymptoticbehaviorcase
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We have numerically studied a model of granular landscape eroded by wind. We show the appearance of labyrinthic patterns when the wind orientation turns by $90^\circ$. The occurence of such structures are discussed. Morever, we introduce the density $n_k$ of ``defects'' as the dynamic parameter governing the landscape evolution. A power law behavior of $n_k$ is found as a function of time. In the case of wind variations, the exponent (drastically) shifts from 2 to 1. The presence of two asymptotic values of $n_k$ implies the irreversibility of the labyrinthic formation process.

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