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• W4309453973 abstract "We investigate the external field effect on opinion formation based on the majority rule and $q$-voter models on a complete graph. The external field can be considered as the mass media in the social system, with the probability $p$ agents following the mass media opinion. Based on our Monte Carlo simulation, the mass media effect is not strong enough to make the system reach a homogeneous state (complete consensus) with the magnetization $m = 1$ for all values of $p$, indicates that the existence of a usual phase transition for all values of $p$. In the $q$-voter model, the mass media eliminates the usual phase transition at $p approx 0.21$. We obtain the model's critical point and scaling parameters using the finite-size scaling analysis and obtain that both models have the same scaling parameters. The external field effect decreases both models' relaxation time and the relaxation time following the power-law relation such as $tau sim N^{beta}$, where $N$ is the population size, and $beta$ depends on the probability $p$. In the majority rule model, $beta$ follows a linear relation, and in the $q$-voter model, $beta$ follows a power-law relation." @default.
• W4309453973 created "2022-11-28" @default.
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• W4309453973 date "2022-12-28" @default.
• W4309453973 modified "2023-10-16" @default.
• W4309453973 title "The external field effect on the opinion formation based on the majority rule and the <i>q</i>-voter models on the complete graph" @default.
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• W4309453973 doi "https://doi.org/10.1142/s0129183123500882" @default.
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