Finite-size scaling in complex networks
Statistical Mechanics
2009-11-13 v1
Abstract
A finite-size-scaling (FSS) theory is proposed for various models in complex networks. In particular, we focus on the FSS exponent, which plays a crucial role in analyzing numerical data for finite-size systems. Based on the droplet-excitation (hyperscaling) argument, we conjecture the values of the FSS exponents for the Ising model, the susceptible-infected-susceptible model, and the contact process, all of which are confirmed reasonably well in numerical simulations.
Cite
@article{arxiv.cond-mat/0701516,
title = {Finite-size scaling in complex networks},
author = {Hyunsuk Hong and Meesoon Ha and Hyunggyu Park},
journal= {arXiv preprint arXiv:cond-mat/0701516},
year = {2009}
}