Hyperscaling in the Domany-Kinzel cellular automaton.
/ 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.
Journal: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics