Hyperscaling in the Domany-Kinzel Cellular Automaton
Condensed Matter
2009-10-28 v1
Abstract
An apparent violation of hyperscaling at the endpoint of the critical line in the Domany-Kinzel stochastic cellular automaton finds an elementary resolution upon noting that the order parameter is discontinuous at this point. We derive a hyperscaling relation for such transitions and discuss applications to related examples.
Keywords
Cite
@article{arxiv.cond-mat/9504050,
title = {Hyperscaling in the Domany-Kinzel Cellular Automaton},
author = {Ronald Dickman and Alex Yu. Tretyakov},
journal= {arXiv preprint arXiv:cond-mat/9504050},
year = {2009}
}
Comments
8 pages, latex, no figures