Hyperscaling in the Domany-Kinzel cellular automaton
- 1 September 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 52 (3) , 3218-3220
- https://doi.org/10.1103/physreve.52.3218
Abstract
An apparent violation of hyperscaling at the end point 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
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