Damage spreading, coarsening dynamics and distribution of political votes in Sznajd model on square lattice

Citation
At. Bernardes et al., Damage spreading, coarsening dynamics and distribution of political votes in Sznajd model on square lattice, INT J MOD C, 12(2), 2001, pp. 159-167
Citations number
15
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
ISSN journal
01291831 → ACNP
Volume
12
Issue
2
Year of publication
2001
Pages
159 - 167
Database
ISI
SICI code
0129-1831(200102)12:2<159:DSCDAD>2.0.ZU;2-V
Abstract
In the Sznajd model of sociophysics on the square lattice, neighbors having the same opinion convince their neighbors of this opinion. We study scalin g of the cluster growth. The spreading-of-damage technique is applied for t he spread of opinions. We study the time evolution of the damage and compar e it with the magnetization evolution. We also compare this model with the Ising model at low temperatures. It was recently shown that the distributio n of votes in Brazilian elections follows a power law behavior with exponen t similar or equal to -1.0. A model for elections based on the Sznajd model is proposed. The exponent obtained for the distribution of votes during th e transient agrees with that obtained for elections.