Abstract
We introduce a restricted height model with conservation of the total number of particles. The surface width W (L, t) of our model follows a scaling formula W (L, t) = W 2 i − Lf(t/L) as a function of time t, where Wi and L are an intrinsic width and the system size, respectively. By subtracting the surface width from the intrinsic width, we successfully obtain the roughness exponent α ≈ −ds/2 and the growth exponent β ≈ −ds/4 for substrate dimensions ds = 1, 2, and 3. We also obtain the dynamic exponent z ≈ 2 in all substrate dimensions. The relation between our model and the conserved Edwards-Wilkinson equation is also discussed.
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