Transfer-matrix density-matrix renormalization group for stochastic models: the Domany-Kinzel cellular automaton
نویسندگان
چکیده
منابع مشابه
Renormalization group of the Domany - Kinzel cellular automaton Tânia Tomé
We apply the dinamically driven renormalization group to study the critical properties of the Domany-Kinzel probabilistic cellular automaton. To preserve the absorbing state clusters with at least one site occupied are renormalized into a one occupied site and clusters with all sites empty are renormalized into a one empty site. We have obtained the phase diagram as well as the critical exponen...
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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. PACS numbers: 05.70.Ln, 05.50.+q, 64.90.+b ∗ e-mail address: dickman@l...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/19/103