高维社会经济动力学随机键伊辛模型的持久性
Persistence in Random Bond Ising Models of a Socio-Econo Dynamics in High Dimensions
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应用的影响。
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 applications in the social and economic fields.
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