Anomalous fluctuations in surface growth

H Yan, D A Kessler, L M Sander
1991 Journal of Physics A: Mathematical and General  
We have studied fluctuations in the steady State o f a modified ballistic deposition model. The ensemble fluctuations of the surface width averaged over a time sequence, which involves temporal correlations, exhibit a peak around the previously proposed phase transition point in bath 2+ 1 and 3 + I dimensions. We show that the time series of a finite system is self-averaging and the anomaly is in the fluctuations of the temporal correlations. We discuss the implications of our results in 2+ 1
more » ... r results in 2+ 1 dimensions for the structure of the renormalization group Rows.
doi:10.1088/0305-4470/24/18/004 fatcat:elkjlan27zeipemagvqznipgum