Universality classes of the generalized epidemic process on random networks

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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.
Publisher
AMER PHYSICAL SOC
Issue Date
2016-05
Language
English
Article Type
Article
Citation

PHYSICAL REVIEW E, v.93, no.5, pp.052304

ISSN
2470-0045
DOI
10.1103/PhysRevE.93.052304
URI
http://hdl.handle.net/10203/209507
Appears in Collection
PH-Journal Papers(저널논문)
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