Hyperscaling in the Domany-Kinzel Cellular Automaton

Preprint

12 April 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9504050

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

PARAMETER IS DISCONTINUOUS
CELLULAR AUTOMATON
APPARENT VIOLATION
KINZEL CELLULAR
DOMANY KINZEL
HYPERSCALING
STOCHASTIC

All Related Versions

Version 1, 1995-04-12, ArXiv
Published version: Physical Review E, 52 (3), 3218.

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