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arXiv · 1512.04457

Universality classes of generalized epidemic process on random networks

Kihong Chung·Yongjoo Baek·Meesoon Ha·Hawoong Jeong
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Abstract

We present a self-contained discussion of the universality classes of the generalized epidemic process (GEP) on Poisson random networks, which is a simple model of social contagions with cooperative effects. These effects lead to rich phase transitional behaviors that include continuous and discontinuous transitions with tricriticality in between. With the help of a comprehensive finite-size scaling theory, we numerically confirm static and dynamic scaling behaviors of the GEP near continuous phase transitions and at tricriticality, which verifies the field-theoretical results of previous studies. We also propose a proper criterion for the discontinuous transition line, which is shown to coincide with the bond percolation threshold.

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Kihong Chung, Yongjoo Baek, Meesoon Ha, Hawoong Jeong. 2016-05-10. Universality classes of generalized epidemic process on random networks. https://doi.org/10.1103/physreve.93.052304

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