A new class of models for surface relaxation with exact mean-field solutions

preprint2001arXivOpen access

Abstract

We introduce a class of discrete models for surface relaxation. By exactly solving the master equation which governs the microscopic dynamics of the surface, we determine the steady state of the surface and calculate its roughness. We will also map our model to a diffusive system of particles on a ring and reinterpret our results in this new setting.

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