arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.3118physics.soc-phcond-mat.stat-mech
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更新规则和事件间隔时间分布:投票者模型中的慢排序与无排序

Update rules and interevent time distributions: Slow ordering vs. no ordering in the Voter Model

Juan Fernández-Gracia, V. M. Eguíluz, M. San Miguel

摘要:

我们介绍了一个通用的方法更新规则占任意interevent时间分布在模拟的交互代理。特别是,我们考虑更新规则,依赖于代理的状态,使更新成为动态模型的一部分。作为一个例子,我们考虑在全连接,随机和无标度网络的更新概率成反比的持久性,即,自上次事件的时间的选民模型。我们发现,在热力学极限,在标准更新的差异,系统的订单缓慢。的方法的吸收状态的特点是由幂律衰减的界面的密度,观察到的平均时间达到吸收状态可能没有很好地定义。

英文摘要:

We introduce a general methodology of update rules accounting for arbitrary interevent time distributions in simulations of interacting agents. In particular we consider update rules that depend on the state of the agent, so that the update becomes part of the dynamical model. As an illustration we consider the voter model in fully-connected, random and scale free networks with an update probability inversely proportional to the persistence, that is, the time since the last event. We find that in the thermodynamic limit, at variance with standard updates, the system orders slowly. The approach to the absorbing state is characterized by a power law decay of the density of interfaces, observing that the mean time to reach the absorbing state might be not well defined.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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