Abstract
We introduce and study a model for the movement of surfaces, namely the conserved, restricted solid-on-solid model. The surface configurations are restricted such that the difference between the heights at adjacent sites is no more than one. In addition, the total number of particles is preserved by the dynamics of the model. Mean-field approximations are used to approximate the one-site probability function of the model in both time-independent and time-dependent regimes. In the time-dependent regime, we found that for the height at one site, the average evolves like t 1/6 and squared fluctuations like t 1/3.
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