Hyperscaling in the Domany-Kinzel Cellular Automaton

Details Hyperscaling in the Domany-Kinzel Cellular Automaton Hyperscaling in the Domany-Kinzel Cellular Automaton

1995-04-12

arxiv.org/abs/cond-mat/9504050v1

Physics

Condensed Matter

8 pages, latex, no figures

Scientific paper

10.1103/PhysRevE.52.3218

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.

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