Hyperscaling in the Domany-Kinzel Cellular Automaton
classification
❄️ cond-mat
keywords
hyperscalingautomatoncellulardomany-kinzelapparentapplicationscriticalderive
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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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