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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Effects of the underlying topology on perturbation spreading in the Axelrod model for cultural dissemination
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Effects of the underlying topology on perturbation spreading in the Axelrod model for cultural dissemination

机译：在文化传播的Axelrod模型中基本拓扑结构对摄动扩散的影响

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摘要

We study the effects of the underlying topologies on a single feature perturbation imposed to the Axelrod model of consensus formation. From the numerical simulations we show that there are successive updates which are similar to avalanches in many self-organized criticality systems when a perturbation is imposed. We find that the distribution of avalanche size satisfies the finite-size scaling (FSS) ansatz on two-dimensional lattices and random networks. However, on scale-free networks with the degree exponent γ≤3 we show that the avalanche size distribution does not satisfy the FSS ansatz. The results indicate that the disordered configurations on two-dimensional lattices or on random networks are still stable against the perturbation in the limit N (network size) →∞. However, on scale-free networks with γ≤3 the perturbation always drives the disordered phase into an ordered phase. The possible relationship between the properties of phase transition of the Axelrod model and the avalanche distribution is also discussed.
机译：我们研究了基础拓扑对施加于共识形成的Axelrod模型的单个特征扰动的影响。从数值模拟中我们可以看出，当发生扰动时，在许多自组织的临界系统中有类似于雪崩的连续更新。我们发现雪崩大小的分布满足二维晶格和随机网络上的有限尺寸缩放（FSS）ansatz。但是，在度指数为γ≤3的无标度网络上，我们表明雪崩大小分布不满足FSS ansatz。结果表明，二维晶格或随机网络上的无序构型在极限N（网络大小）→∞的摄动下仍然稳定。但是，在γ≤3的无标度网络上，扰动总是将无序相驱动为有序相。还讨论了Axelrod模型的相变特性与雪崩分布之间的可能关系。

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