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Scaling of a slope: the erosion of tilted landscapes

Author
Pastor-Satorras, R.; Rothman, D. H.
Type of activity
Journal article
Journal
Journal of statistical physics
Date of publication
1998-11
Volume
93
Number
3-4
First page
477
Last page
500
DOI
https://doi.org/10.1023/B:JOSS.0000033160.59155.c6 Open in new window
Repository
http://hdl.handle.net/2117/126419 Open in new window
https://arxiv.org/abs/cond-mat/9804067 Open in new window
URL
https://link.springer.com/article/10.1023%2FB%3AJOSS.0000033160.59155.c6 Open in new window
Abstract
We formulate a stochastic equation to model the erosion of a surface with fixed inclination. Because the inclination imposes a preferred direction for material transport, the problem is intrinsically anisotropic. At zeroth order, the anisotropy manifests itself in a linear equation that predicts that the prefactor of the surface height–height correlations depends on direction. The first higher order nonlinear contribution from the anisotropy is studied by applying the dynamic renormalization g...
Citation
Pastor-Satorras, R., Rothman, D. H. Scaling of a slope: the erosion of tilted landscapes. "Journal of statistical physics", Novembre 1998, vol. 93, núm. 3-4, p. 477-500.
Keywords
Erosion anisotropy stochastic equation renormalization group
Group of research
SC-SIMBIO - Complex systems. Computer simulation of materials and biological systems

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