 Growth exponents in surface models with non-active sitesM. Santos, W. Figueiredo and F.D.A. Aarão Reis Physica A: Statistical Mechanics and its Applications, 2006, vol. 371, issue 1, 92-95 Abstract: In this work, we studied the role played by the inactive sites present on the substrate of a growing surface. In our model, one particle sticks at the surface if the site where it falls is an active site. However, we allow the deposited particle to diffuse along the surface in accordance with some mechanism previously defined. Using Monte Carlo simulations, and some analytical results, we have investigated the model in (1+1) and (2+1) dimensions considering different relaxation mechanisms. We show that the consideration of non-active sites is a crucial point in the model. In fact, we have seen that the saturation regime is not observed for any value of the density of inactive sites. Besides, the growth exponent β turns to be one, at long times, whatever the mechanism of diffusion we consider in one and two dimensions. Keywords: Growth models; Scaling laws; Roughness; Monte Carlo (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:371:y:2006:i:1:p:92-95 DOI: 10.1016/j.physa.2006.04.100 Access Statistics for this article Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis More articles in Physica A: Statistical Mechanics and its Applications from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.