Numerical simulations are used to investigate the multiaffine exponent $\alpha_q$ and multi-growth 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 $\beta_q = \frac{ 1}{ q}$ 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 $\frac{ 1}{ q} \leq \alpha_q \leq \frac{ 2}{ q+1}$. This implies that large rare events tend to break the KPZ universality scaling-law at higher order $q$.
Categories: nlin.PS cond-mat.stat-mech