Hyperscaling in the Domany-Kinzel Cellular Automaton
arXiv:cond-mat/9504050 · doi:10.1103/PhysRevE.52.3218
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.
8 pages, latex, no figures