Restricted solid-on-solid model in d=2+1 dimension with various restriction parameters N

초록

A restricted solid-on-solid model is investigated with various height restriction parameters N in 2 + 1 dimension to determine the critical exponents for the surface roughness more accurately. The interface width W(t) grows as t (beta) at the beginning and becomes saturated at L (alpha) for t a parts per thousand << L (z) , where z is the dynamic exponent. Through a large-scale numerical simulation of a system with size L = 16384, beta a parts per thousand 0.248 +/- 0.002 and alpha a parts per thousand 0.400 +/- 0.004 are obtained with N = 3, where W(t) is reasonably larger than the unit height. Our result seems to be consistent with the conjecture beta = 1/4. z a parts per thousand 1.61 is estimated from the relation , which satisfies the scaling relation alpha+z = 2 very well.

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