摘要翻译：
用磁Eden模型研究了二维规则晶格生成的小世界网络上的不可逆意见扩散现象。磁Eden模型是二元混合物与热浴接触生长的非平衡动力学模型。在这个模型中，个人的意见或决定受到他们熟人的意见或决定的影响，但意见变化（类似于伊辛模型中的旋转翻转）是不允许的。特别地，我们关注衬底的2D特性所固有的方面，例如畴生长和团簇尺寸分布。观察到较大的捷径分数有利于网络中遥远团簇之间的长程有序连接，而温度则驱动系统跨越有序-无序转变，这与以前对相关平衡自旋系统的研究一致。此外，外推相图和相关长度临界指数，由标准的有限尺寸标度程序确定。
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英文标题：
《Nonequilibrium Opinion Spreading on 2D Small-World Networks》
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作者：
Juli\'an Candia
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Computational Physics        计算物理学
分类描述：All aspects of computational science applied to physics.
应用于物理学的计算科学的各个方面。
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英文摘要：
  Irreversible opinion spreading phenomena are studied on small-world networks generated from 2D regular lattices by means of the magnetic Eden model, a nonequilibrium kinetic model for the growth of binary mixtures in contact with a thermal bath. In this model, the opinion or decision of an individual is affected by those of their acquaintances, but opinion changes (analogous to spin flips in an Ising-like model) are not allowed. Particularly, we focus on aspects inherent to the underlying 2D nature of the substrate, such as domain growth and cluster size distributions. Larger shortcut fractions are observed to favor long-range ordering connections between distant clusters across the network, while the temperature is shown to drive the system across an order-disorder transition, in agreement with previous investigations on related equilibrium spin systems. Furthermore, the extrapolated phase diagram, as well as the correlation length critical exponent, are determined by means of standard finite-size scaling procedures.
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PDF链接：
https://arxiv.org/pdf/708.149