摘要翻译:
我们研究了排斥相互作用对耦合可激发旋转体系综的影响。我们发现,适度的排斥相互作用可以触发系综的全局激发。然而,在足够大的系统中,如果排斥相互作用网络是完全随机的,则由于其度分布的自平均性,全局激发机制被抑制。因此,我们引入了一个具有宽度分布的部分随机网络模型,其中不存在由于尺寸增长引起的自平均。在这种情况下,全局射击的制度对大尺寸仍然存在。我们的结果扩展了以前关于复杂系统集体动力学中多样性的建设性影响的工作。
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英文标题:
《Global firing induced by network disorder in ensembles of active
rotators》
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作者:
Claudio J. Tessone, Dami\'an H. Zanette, and Ra\'ul Toral
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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:Soft Condensed Matter 软凝聚态物质
分类描述:Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜,聚合物,液晶,玻璃,胶体,颗粒物质
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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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英文摘要:
We study the influence of repulsive interactions on an ensemble of coupled excitable rotators. We find that a moderate fraction of repulsive interactions can trigger global firing of the ensemble. The regime of global firing, however, is suppressed in sufficiently large systems if the network of repulsive interactions is fully random, due to self-averaging in its degree distribution. We thus introduce a model of partially random networks with a broad degree distribution, where self-averaging due to size growth is absent. In this case, the regime of global firing persists for large sizes. Our results extend previous work on the constructive effects of diversity in the collective dynamics of complex systems.
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PDF链接:
https://arxiv.org/pdf/710.3311