Critical Phenomena of the Generalized Epidemic Process

다국어 초록 (Multilingual Abstract)

We investigate mixed-order critical phenomena of the generalized epidemic process (GEP) on random scale-free networks characterized by the power-law distribution pk k .The GEP is a minimal model of spreading behaviors. Near tricritical points (TCPs) derived by using the generating method, we numerically confirm the associated scaling exponents as functions of .
In particular, we propose an extended finite-size scaling theory of the GEP and crossover scaling behaviors, which are also confirmed by using extensive Monte Carlo simulations. Our results show that near TCPs, the GEP is governed by two distinct length scales, whose nontrivial dependence on leads to rich transition behaviors.

참고문헌 (Reference)

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