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| Հիմնական հեղինակներ: | , , |
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| Ձևաչափ: | Preprint |
| Հրապարակվել է: |
2024
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| Խորագրեր: | |
| Առցանց հասանելիություն: | https://arxiv.org/abs/2407.10035 |
| Ցուցիչներ: |
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Չկան պիտակներ, Եղեք առաջինը, ով նշում է այս գրառումը!
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| _version_ | 1866914869853290496 |
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| author | Fardela, Ramacos Abdullah, Zulfi Muslim, Roni |
| author_facet | Fardela, Ramacos Abdullah, Zulfi Muslim, Roni |
| contents | We study numerically the dynamics of opinion formation under the influence of mass media using the $q$-voter model on a Barabasi-Albert network. We investigate the scenario where a voter adopts the mass media's opinion with a probability $p$ when there is no unanimity among a group of $q$ agents. Through numerical simulation, we identify a critical probability threshold, $p_t$, at which the system consistently reaches complete consensus. This threshold probability $p_t$ decreases as the group size $q$ increases, following a power-law relation $p_t \propto q^γ$ with $γ\approx -1.187$. Additionally, we analyze the system's relaxation time, the time required to reach a complete consensus state. This relaxation time increases with the population size $N$, following a power-law $τ\propto N^ν$, where $ν\approx 1.093$. Conversely, an increase in the probability $p$ results in a decrease in relaxation time following a power-law relationship $τ\propto p^δ$, with $δ\approx -0.596$. The value of the exponent \( ν\) is similar to the exponents obtained in the voter and $q$-voter models across various network topologies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_10035 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Opinion formation under mass media influence on the Barabasi-Albert network Fardela, Ramacos Abdullah, Zulfi Muslim, Roni Physics and Society We study numerically the dynamics of opinion formation under the influence of mass media using the $q$-voter model on a Barabasi-Albert network. We investigate the scenario where a voter adopts the mass media's opinion with a probability $p$ when there is no unanimity among a group of $q$ agents. Through numerical simulation, we identify a critical probability threshold, $p_t$, at which the system consistently reaches complete consensus. This threshold probability $p_t$ decreases as the group size $q$ increases, following a power-law relation $p_t \propto q^γ$ with $γ\approx -1.187$. Additionally, we analyze the system's relaxation time, the time required to reach a complete consensus state. This relaxation time increases with the population size $N$, following a power-law $τ\propto N^ν$, where $ν\approx 1.093$. Conversely, an increase in the probability $p$ results in a decrease in relaxation time following a power-law relationship $τ\propto p^δ$, with $δ\approx -0.596$. The value of the exponent \( ν\) is similar to the exponents obtained in the voter and $q$-voter models across various network topologies. |
| title | Opinion formation under mass media influence on the Barabasi-Albert network |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2407.10035 |