PMID: 11909163Mar 23, 2002Paper

Damage spreading in small world Ising models

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Pontus Svenson, Desmond A Johnston

Abstract

We study damage spreading in the ferromagnetic Ising model on small world networks using Monte Carlo simulation with Glauber dynamics. The damage spreading temperature T(d) is determined as a function of rewiring probability p for small world networks obtained by rewiring the two-dimensional square and three dimensional cubic lattices. We find that the damage for different values of p collapse onto master curves when plotted against a rescaled temperature and that the distance between T(d) and the critical temperature T(c) increases with p. We argue that when using the Ising model to study social systems, it is necessary to place the spins on a small world network rather than on a regular lattice.

References

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Citations

Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Jul 13, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Julián Candia
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Julián Candia
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arnab Chatterjee, Parongama Sen
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Pedro G LindJason A C Gallas
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiang-Mu Kong, Z R Yang
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos P Herrero
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Z Z Guo, Kwok Yip Szeto
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paulo R A CamposF G Brady Moreira
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jian-Yang Zhu, Han Zhu

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