| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Four Types of Percolation Transitions in the Cluster Aggregation Network Model |
| Wen-Chen Han, Jun-Zhong Yang** |
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
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| Cite this article: |
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Wen-Chen Han, Jun-Zhong Yang 2018 Chin. Phys. Lett. 35 016402 |
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Abstract We study the percolation transition in a one-species cluster aggregation network model, in which the parameter $\alpha$ describes the suppression on the cluster sizes. It is found that the model can exhibit four types of percolation transitions, two continuous percolation transitions and two discontinuous ones. Continuous and discontinuous percolation transitions can be distinguished from each other by the largest single jump. Two types of continuous percolation transitions show different behaviors in the time gap. Two types of discontinuous percolation transitions are different in the time evolution of the cluster size distribution. Moreover, we also find that the time gap may also be a measure to distinguish different discontinuous percolations in this model.
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Received: 15 September 2017
Published: 17 December 2017
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| Fund: Supported by the National Natural Science Foundation of China under Grant Nos 11575036 and 11505016. |
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