| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Phase Transition of the Pair Contact Process Model in a Fragmented Network |
HUA Da-Yin, WANG Lie-Yan |
| Department of Physics, Ningbo University, Ningbo 315211 |
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| Cite this article: |
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HUA Da-Yin, WANG Lie-Yan 2010 Chin. Phys. Lett. 27 098901 |
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Abstract We investigate the phase transition of the pair contact process (PCP) model in a fragmented network. The network is formed by rewiring the link between two nearest neighbors to another randomly selected site in one dimension with a probability q. When the average degree <k>=2, the system exhibits a structure transition and the lattice is fragmented into several isolated subgraphs, it is shown that a giant cluster appears and its node fraction does not change nearly for q>0. Furthermore, it is found that the critical behavior of the continuous phase transition for the PCP model is different from the directed percolation (DP) class and the estimated values of the critical exponents are independent of the rewiring probability for q>0. We conjecture that the structure transition for <k> =2 takes an important role in the change of the critical behavior of the continuous phase transition.
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| Keywords:
89.75.Hc
05.70.Ln
64.60.Ht
82.65.Jv
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Received: 04 February 2010
Published: 25 August 2010
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