Universality classes of the generalized epidemic process on random networks.
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.
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
Kihong
K
Chung
Department of Physics, Technion, Haifa 32000, Israel.
Yongjoo
Y
Baek
Department of Physics Education, Chosun University, Gwangju 61452, Korea.
Meesoon
M
Ha
Department of Physics and Institute for the BioCentury, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea.
Hawoong
H
Jeong