Statistically consistent coarse-grained simulations for critical phenomena in complex networks

Details Statistically consistent coarse-grained simulations for critical phenomena in complex networks Statistically consistent coarse-grained simulations for critical phenomena in complex networks

2010-07-17

arxiv.org/abs/1007.2901v2

Physical Review E 82, 011107 (2010)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevE.82.011107

We propose a degree-based coarse graining approach that not just accelerates the evaluation of dynamics on complex networks, but also satisfies the consistency conditions for both equilibrium statistical distributions and nonequilibrium dynamical flows. For the Ising model and susceptible-infected-susceptible epidemic model, we introduce these required conditions explicitly and further prove that they are satisfied by our coarse-grained network construction within the annealed network approximation. Finally, we numerically show that the phase transitions and fluctuations on the coarse-grained network are all in good agreements with those on the original one.

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