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掺杂伊辛投票模型中的相变和幂律粗化。

Phase transition and power-law coarsening in an Ising-doped voter model.

机构信息

Faculty of Physics, Adam Mickiewicz University, 61-614 Poznań, Poland.

Faculty of Modern Languages and Literature, Adam Mickiewicz University, 61-874 Poznań, Poland.

出版信息

Phys Rev E. 2017 Sep;96(3-1):032145. doi: 10.1103/PhysRevE.96.032145. Epub 2017 Sep 29.

DOI:10.1103/PhysRevE.96.032145
PMID:29346944
Abstract

We examine an opinion formation model, which is a mixture of Voter and Ising agents. Numerical simulations show that even a very small fraction (∼1%) of the Ising agents drastically changes the behavior of the Voter model. The Voter agents act as a medium, which correlates sparsely dispersed Ising agents, and the resulting ferromagnetic ordering persists up to a certain temperature. Upon addition of the Ising agents, a logarithmically slow coarsening of the Voter model (d=2), or its active steady state (d=3), change into an Ising-type power-law coarsening.

摘要

我们研究了一种观点形成模型,它是投票者和伊辛模型的混合体。数值模拟表明,即使是很小一部分(约 1%)的伊辛模型也会极大地改变投票者模型的行为。投票者模型充当一种介质,它使稀疏分布的伊辛模型相关联,并且由此产生的铁磁有序状态一直持续到一定温度。加入伊辛模型后,投票者模型的对数缓慢粗化(d=2),或其活跃的稳态(d=3),会转变为伊辛型幂律粗化。

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