Multi-surface coding simulations of the restricted solid-on-solid model in four dimensions
Disordered Systems and Neural Networks
2013-01-22 v2 Statistical Mechanics
Abstract
We study the Restricted Solid on Solid (RSOS) model for surface growth in spatial dimension d=4 by means of a multi-surface coding technique that allows to analyze samples to analyze samples of size up to in the steady state regime. For such large systems we are able to achieve a controlled asymptotic regime where the typical scale of the fluctuations are larger than the lattice spacing used in the simulations. A careful finite-size scaling analysis of the critical exponents clearly indicate that d=4 is not the upper critical dimension of the model.
Keywords
Cite
@article{arxiv.1210.2512,
title = {Multi-surface coding simulations of the restricted solid-on-solid model in four dimensions},
author = {Andrea Pagnani and Giorgio Parisi},
journal= {arXiv preprint arXiv:1210.2512},
year = {2013}
}
Comments
6 pages, 3 pdf figures, changed title and minor changes in the abstract, added some references. This is the published version