Effects of the underlying topology on perturbation spreading in the Axelrod model for cultural dissemination

作者: Yup Kim , Minsoo Cho , Soon-Hyung Yook

DOI: 10.1016/J.PHYSA.2011.06.020

关键词:

摘要: Abstract We study the effects of underlying topologies on a single feature perturbation imposed to Axelrod model consensus formation. From numerical simulations we show that there are successive updates which similar avalanches in many self-organized criticality systems when is imposed. find distribution avalanche size satisfies finite-size scaling (FSS) ansatz two-dimensional lattices and random networks. However, scale-free networks with degree exponent γ ≤ 3 does not satisfy FSS ansatz. The results indicate disordered configurations or still stable against limit N (network size) → ∞ . always drives phase into an ordered phase. possible relationship between properties transition also discussed.

参考文章(26)
Luigi Luca Cavalli-Sforza, Cultural transmission and evolution ,(1981)
Robert Axelrod, The Complexity of Cooperation ,(2011)
H Hong, Beom Jun Kim, MY Choi, None, Comment on "Ising model on a small world network". Physical Review E. ,vol. 66, pp. 018101- ,(2002) , 10.1103/PHYSREVE.66.018101
S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes, Ising model on networks with an arbitrary distribution of connections. Physical Review E. ,vol. 66, pp. 016104- 016104 ,(2002) , 10.1103/PHYSREVE.66.016104
Matthew W. Hahn, R. Alexander Bentley, Drift as a mechanism for cultural change: an example from baby names Proceedings of The Royal Society B: Biological Sciences. ,vol. 270, ,(2003) , 10.1098/RSBL.2003.0045
A. Barrat, M. Weigt, On the properties of small-world network models European Physical Journal B. ,vol. 13, pp. 547- 560 ,(2000) , 10.1007/S100510050067
Sungmin Lee, Soon-Hyung Yook, Yup Kim, Diffusive capture process on complex networks. Physical Review E. ,vol. 74, pp. 046118- 046118 ,(2006) , 10.1103/PHYSREVE.74.046118
J.-S. Lee, K.-I. Goh, B. Kahng, D. Kim, Intrinsic degree-correlations in the static model of scale-free networks European Physical Journal B. ,vol. 49, pp. 231- 238 ,(2006) , 10.1140/EPJB/E2006-00051-Y
J. C. González-Avella, V. M. Eguíluz, M. G. Cosenza, K. Klemm, J. L. Herrera, M. San Miguel, Local versus global interactions in nonequilibrium transitions: A model of social dynamics. Physical Review E. ,vol. 73, pp. 046119- ,(2006) , 10.1103/PHYSREVE.73.046119
M. E. J. Newman, Assortative mixing in networks. Physical Review Letters. ,vol. 89, pp. 208701- 208701 ,(2002) , 10.1103/PHYSREVLETT.89.208701