社会经济动力学随机债券伊辛模型的持久性
Persistence in a Random Bond Ising Model of Socio-Econo Dynamics
摘要：
我们研究的持久性现象，在一个社会经济动力学模型，使用计算机模拟在有限的温度下的超立方晶格的尺寸高达5。该模型包括“社会\rq局部场”，其包含时间$t$的磁化。最近邻猝灭相互作用是从二元分布，这是一个键浓度的函数，$p$。模型中持续概率的衰减依赖于空间维数和$p$。我们发现在这个模型中没有证据表明“阻断\rq”。我们还讨论了我们的研究结果在社会和经济领域的可能应用的影响。有人建议，可以将是否存在阻塞作为一个标准，以决定某一模型在不同情况下的有效性。
英文摘要：
We study the persistence phenomenon in a socio-econo dynamics model using computer simulations at a finite temperature on hypercubic lattices in dimensions up to 5. The model includes a ` social\rq local field which contains the magnetization at time $t$. The nearest neighbour quenched interactions are drawn from a binary distribution which is a function of the bond concentration, $p$. The decay of the persistence probability in the model depends on both the spatial dimension and $p$. We find no evidence of ` blocking\rq in this model. We also discuss the implications of our results for possible applications in the social and economic fields. It is suggested that the absence, or otherwise, of blocking could be used as a criterion to decide on the validity of a given model in different scenarios.
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