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We study a random walk deposition model with relaxation. In our model, the surface width W(t;L) increases as t in the early time and approaches L at a later time, where L is the system size. We obtain  2:16, i.e. larger than 1. The height correlation function G(r; t;L) has anomalous scaling behaviors with loc  0:88, which is the local roughness exponent. Since > 1 and loc < 1, our model has an intrinsic anomalous roughening behavior.


We study a random walk deposition model with relaxation. In our model, the surface width W(t;L) increases as t in the early time and approaches L at a later time, where L is the system size. We obtain  2:16, i.e. larger than 1. The height correlation function G(r; t;L) has anomalous scaling behaviors with loc  0:88, which is the local roughness exponent. Since > 1 and loc < 1, our model has an intrinsic anomalous roughening behavior.