Sznajd社会物理学模型中大众传媒对舆论传播的影响
Effects of mass media on opinion spreading in the Sznajd sociophysics model
摘要：
在这项工作中，我们考虑的影响，大众媒体的动态的二维Sznajd模型。这种影响作为一个外部领域，它被引入到模型中的概率$p$的代理遵循媒体的意见。我们对不同尺寸的正方形晶格进行了蒙特卡罗模拟，我们的数值结果表明，由于$p>\sim 0.18$没有通常的相变，模型的临界行为发生了变化。概率$p$的另一个影响是减少平均弛豫时间$τ$，其是对数正态分布的，如在标准模型中一样。此外，$τ$值以幂律形式$τ\sim L^α$取决于晶格尺寸$L$，其中幂律指数取决于概率$p$。
英文摘要：
In this work we consider the influence of mass media in the dynamics of the two-dimensional Sznajd model. This influence acts as an external field, and it is introduced in the model by means of a probability $p$ of the agents to follow the media opinion. We performed Monte Carlo simulations on square lattices with different sizes, and our numerical results suggest a change on the critical behavior of the model, with the absence of the usual phase transition for $p>\sim 0.18$. Another effect of the probability $p$ is to decrease the average relaxation times $τ$, that are log-normally distributed, as in the standard model. In addition, the $τ$ values depend on the lattice size $L$ in a power-law form, $τ\sim L^α$, where the power-law exponent depends on the probability $p$.
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