STOCHASTIC EQUATION FOR THE EROSION OF INCLINED TOPOGRAPHY

We present a stochastic equation to model the erosion of topography wi th fixed inclination. The inclination causes the erosion to be anisotr opic. 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 estima te of the roughness exponents. The predicted exponents are in good agr eement with new measurements made from seafloor topography.