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Technical Report CMS-TR-20130711


Title Dynamic transitions in Domany-Kinzel cellular automata on small-world network
Author/s Ashwini V. Mahajan
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India


M. Ali Saif
PG Department of Physics, University of Amran, Yemen


Prashant M. Gade
PG Department of Physics, Rashtrasant Tukdoji Maharaj Nagpur University, Nagpur 440 033 India
Abstract We study Domany-Kinzel cellular automata on small-world network. Every link on a one dimensional chain is rewired and coupled with any node with probability p. We observe that, the introduction of long-range interactions does not remove the critical character of the model and the system still exhibits a well-defined phase transition to absorbing state. In case of directed percolation (DP), we observe a very anomalous behavior as a function of size. The system shows long lived metastable states and a jump in order parameter. This jump vanishes in thermodynamic limit and we recover second-order transition. The critical exponents are not equal to the mean-field values even for large p. However, for compact directed percolation(CDP), the critical exponents reach their mean-field values even for small p.
Keywords
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Citing This Document Ashwini V. Mahajan, M. Ali Saif, and Prashant M. Gade , Dynamic transitions in Domany-Kinzel cellular automata on small-world network . Technical Report CMS-TR-20130711 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2013); available at http://cms.unipune.ac.in/reports/.
Notes, Published Reference, Etc. Published as Eur. Phys. J. Special Topics 222, 895–903 (2013)
Contact mahajan AT cms.unipune.ac.in
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