Hyperscaling in the Domany-Kinzel cellular automaton.

  title={Hyperscaling in the Domany-Kinzel cellular automaton.},
  author={Dickman and Sergei Tretyakov},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  volume={52 3},
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. PACS numbers: 05.70.Ln, 05.50.+q, 64.90.+b ∗ e-mail address: dickman@lcvax.lehman.cuny.edu † e-mail address: alex@fractal.mech.tohoku.ac.jp 

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