Restricted solid-on-solid model with a proper restriction parameter N in 4+1 dimensions

초록

A restricted solid-on-solid growth model is studied for various restriction parameters N in d = 4 + 1 dimensions. The interface width W grows as t(beta) with beta = 0.158 +/- 0.006 and W follows W similar to L-alpha at saturation with alpha = 0.273 +/- 0.009, where L is the system size. The dynamic exponent z approximate to 1.73 is obtained from the relation z = alpha/beta. The estimated exponents satisfy the scaling relation alpha + z = 2 very well. Our results indicate that the upper critical dimension of the Kardar-Parisi-Zhang equation is larger than d = 4 + 1 dimensions. With a proper choice of the restriction parameter N, we can reduce the discrete effect of the height to the width and obtain the values of the exponents accurately.

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