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Exact solution of the nonconsensus opinion model on the line
Phys. Rev. E 83, 050101(R) – Published 18 May, 2011
DOI: https://doi.org/10.1103/PhysRevE.83.050101
Abstract
The nonconsensus opinion model (NCO) introduced recently by Shao et al. [Phys. Rev. Lett. 103, 018701 (2009)] is solved exactly on the line. Although, as expected, the model exhibits no phase transition in one dimension, its study is interesting because of the possible connection with invasion percolation with trapping. The system evolves exponentially fast to the steady state, rapidly developing long-range correlations: The average cluster size in the steady state scales as the square of the initial cluster size, of the (uncorrelated) initial state. We also discuss briefly the NCO model on Bethe lattices, arguing that its phase transition diagram is different than that of regular percolation.
Article Text
References (6)
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