Hyperscaling in the Domany-Kinzel cellular automaton
Ronald Dickman, A. Yu. Tretyakov · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1995
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.