@inbook{0383d33afcfa411ba0583d3b7d0d9623,
title = "Kinetic Roughening with Algebraically Distributed Noise Amplitudes or Waiting Times",
abstract = "In this paper we report on numerical simulation results on Zhang{\textquoteright}s prediction1 about the relevance of the distribution of noise amplitudes ηin kinetic surface roughening2. For power law distributions P(η) ∼ η-(1+μ) the roughening exponent depends on μ in both 1 + 1 and 2 -f 1 dimenions1,3–6. A new characteristic length occurs in this problem which separates a regime with multiscaling behavior from a regime where conventional scaling is found7. Anomalous exponents characterize the surface also in the case when waiting times on the growth sites are distributed according to a power law for “negative λ models”, i.e. if the growth velocity decreases with tilting the substrate.",
author = "J{\'a}nos Kert{\'e}sz",
year = "1993",
doi = "10.1007/978-1-4615-2852-4_9",
language = "English",
isbn = "9781461362357",
series = "NATO Science Series: B, ISSN 0258-1221 ; 304.",
publisher = "Plenum Press",
pages = "77--84",
editor = "Sander, {Leonard M.} and Paul Meakin and Enrique Louis and Garcia-Ruiz, {Juan Manuel}",
booktitle = "Growth Patterns in Physical Sciences and Biology",
}