English

Learning universality and scaling from simple deposition models

Statistical Mechanics 2018-08-06 v2

Abstract

We use deposition models of kinetic roughening of a growing surface to introduce the concepts of universality and scaling and to analyze the qualitative and quantitative role of different parameters. In particular, we focus on two classes of models where the deposition is accompanied by a local relaxation process within a distance δ\delta. The models are in the Edwards-Wilkinson universality class, but the role of δ\delta is nontrivial.

Keywords

Cite

@article{arxiv.1805.05848,
  title  = {Learning universality and scaling from simple deposition models},
  author = {Alessandro Santini and Paolo Politi},
  journal= {arXiv preprint arXiv:1805.05848},
  year   = {2018}
}

Comments

Seven pages. Accepted for publication in American Journal of Physics. Changes in the Abstract and in the Conclusions. Rewording in many places

R2 v1 2026-06-23T01:56:04.934Z