Asymptotic function for multi-growth surfaces using power-law noise
| dc.creator | Katsuragi, H. | |
| dc.creator | Honjo, H. | |
| dc.date | 2002-11-06 | |
| dc.date.accessioned | 2026-07-07T05:34:24Z | |
| dc.date.available | 2026-07-07T05:34:24Z | |
| dc.description | Numerical simulations are used to investigate the multiaffine exponent $α_q$ and multi-growth exponent $β_q$ of ballistic deposition growth for noise obeying a power-law distribution. The simulated values of $β_q$ are compared with the asymptotic function $β_q = \frac{1}{q}$ 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 $α_q$ is found in the range $\frac{1}{q} \leq α_q \leq \frac{2}{q+1}$. This implies that large rare events tend to break the KPZ universality scaling-law at higher order $q$. | |
| dc.description | 5 pages, 4 figures, to be published in Phys. Rev. E | |
| dc.identifier | https://arxiv.org/abs/nlin/0211007 | |
| dc.identifier | http://arxiv.org/abs/nlin/0211007 | |
| dc.identifier | Phys. Rev. E 67, 011601 (2003) | |
| dc.identifier | doi:10.1103/PhysRevE.67.011601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80354 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.subject | Statistical Mechanics | |
| dc.title | Asymptotic function for multi-growth surfaces using power-law noise | |
| dc.type | text |