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We study the non-equilibrium dynamics of a one-dimensional directional voter model with opinion exchange. The opinion of an individual at site i is denoted by σi which can take either +1 or -1. If σi =+1 and σi+1 =-1 (+- domain wall), the opinion of both individuals can be either ++ or -- with probability (1-α/2) [voter dynamics], but with probability α both individuals just exchange opinions without attaining a consensus [simple exclusion process]. Note that -+ domain wall does not induce any configurational change. When α < 1, the whole population eventually reaches a full consensus. The way how the consensus is reached is described by decaying behavior of the domain wall density ρ. For any α < 1, ρ is found to show a power-law decay behavior. Quite interestingly, however, the exponent varies continuously with α, from 0.5 (pure voter dynamics) to 0 (ASEP case). These results are obtained from both Monte-Carlo simulations and spectral analysis of the time evolution operator.

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Prof. Su-Chan Park, Catholic University of Korea
Seminarraum Theoretische Physik
Contact: not specified