Stochastic equation for the erosion of inclined topography

Abstract

We present a stochastic equation to model the erosion of topography with fixed inclination. The inclination causes the erosion to be anisotropic. A zero-order consequence of the anisotropy is the dependence of the prefactor of the surface height-height correlations on direction. The lowest higher-order contribution from the anisotropy is studied by applying the dynamic renormalization group. In this case, assuming an inhomogenous distribution of soil material, we find a one-loop estimate of the roughness exponents. The predicted exponents are in good agreement with new measurements made from seafloor topography.

4 pages, RevTex, includes 3 PS figures. Phys. Rev. Lett. (in press)

References in corpus (1)

• Symmetries and Fixed Point Stability of Stochastic Differential Equations Modeling Self-Organized Criticality

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