Spontaneous-search method and short-time dynamics: applications to the
Domany-Kinzel cellular automaton |
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Authors: | S D da Cunha U L Fulco L R da Silva F D Nobre |
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Institution: | (1) Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Campus Universitário, C.P. 1641, 59072-970 Natal, RN, Brazil;(2) Departamento de Biofísica e Farmacologia, Universidade Federal do Rio Grande do Norte, Campus Universitário, Lagoa Nova, 59078-972 Natal, RN, Brazil;(3) Centro Brasileiro de Pesquisas Físicas, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil |
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Abstract: | The one-dimensional Domany-Kinzel cellular automaton is investigated by two
numerical approaches: (i) the spontaneous-search method, which is a method
appropriated for a search of criticality; (ii) short-time dynamics. Both
critical frontiers of the system are investigated, namely, the one
separating the frozen and active phases, as well as the critical line
determined by damage spreading between two cellular automata, that splits
the active phase into the nonchaotic and chaotic phases.
The efficiency of the spontaneous-search method is established herein
through a precise estimate of both critical frontiers, and in addition to
that, it is shown that this method may also be used in the determination
of the critical exponent ν⊥. Using the critical frontiers
obtained, other exponents are estimated through short-time dynamics. It is
verified that the critical exponents of both critical frontiers fall in the
universality class of directed percolation. |
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Keywords: | PACS" target="_blank">PACS 05 70 Ln Nonequilibrium and irreversible thermodynamics 64 60 Ht Dynamic critical phenomena 64 60 -i General studies of phase transitions |
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