Asymptotic function for multigrowth surfaces using power-law noise.
Numerical simulations are used to investigate the multiaffine exponent alpha(q) and multigrowth exponent beta(q) of ballistic deposition growth for noise obeying a power-law distribution. The simulated values of beta(q) are compared with the asymptotic function beta(q)=1/q that is approximated from the power-law behavior of the distribution of height differences over time. They are in good agreement for large q. The simulated alpha(q) is found in the range 1/q< or =alpha(q)< or =2/(q+1). This implies that large rare events tend to break the Kardar-Parisi-Zhang universality scaling law at higher order q.
Katsuragi
Hiroaki
H
Department of Applied Science for Electronics and Materials, Interdisciplinary Graduate School of Engineering Science, Kyushu University, 6-1 Kasugakoen, Kasuga, Fukuoka 816-8580, Japan. katsurag@asem.kyushu-u.ac.jp
Honjo
Haruo
H