Fluctuation of the waiting time for the restricted solid-on-solid growth model in d=2+1

초록

We study the fluctuation of the waiting time tau in the restricted solid-on-solid growth model. The waiting time tau(x, h) is defined as the Monte Carlo time for the surface at position x to reach height h. In contrast to the discrete height h(x, t), tau(x, h) is a continuous parameter following the Kardar-Parisi-Zhang equation with a different sign of the nonlinear term. In d = 2+1, the variance W (tau) (2) (h) of tau(x, h) grows as h (2 beta) with beta = 0.249 +/- 0.004 (from L = 16384) and saturates at L (2 alpha) with alpha ae 0.398 +/- 0.005, where L is the system size. The measured exponents satisfied the scaling relation alpha + = 2.0 very well. Our result shows that beta is consistent with 1/4.

키워드