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- W4367681134 abstract "In a three-state kinetic exchange opinion formation model, the effect of extreme switches was considered in a recent paper. In the present work, we study the same model with disorder. Here disorder implies that negative interactions may occur with a probability $p$. In the absence of extreme switches, the known critical point is at ${p}_{c}=1/4$ in the mean-field model. With a nonzero value of $q$ that denotes the probability of such switches, the critical point is found to occur at $p=frac{1ensuremath{-}q}{4}$ where the order parameter vanishes with a universal value of the exponent $ensuremath{beta}=1/2$. Stability analysis of initially ordered states near the phase boundary reveals the exponential growth (decay) of the order parameter in the ordered (disordered) phase with a timescale diverging with exponent 1. The fully ordered state also relaxes exponentially to its equilibrium value with a similar behavior of the associated timescale. Exactly at the critical points, the order parameter shows a power-law decay with time with exponent $1/2$. Although the critical behavior remains mean-field-like, the system behaves more like a two-state model as $qensuremath{rightarrow}1$. At $q=1$ the model behaves like a binary voter model with random flipping occurring with probability $p$." @default.
- W4367681134 created "2023-05-03" @default.
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- W4367681134 date "2023-05-02" @default.
- W4367681134 modified "2023-09-27" @default.
- W4367681134 title "Opinion formation models with extreme switches and disorder: Critical behavior and dynamics" @default.
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- W4367681134 doi "https://doi.org/10.1103/physreve.107.054106" @default.
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