超图上选民动态中的群体相互作用竞争与非线性。

IF 2.4 3区 物理与天体物理 Q2 PHYSICS, FLUIDS & PLASMAS
Jihye Kim, Deok-Sun Lee, Byungjoon Min, Mason A Porter, Maxi San Miguel, K-I Goh
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引用次数: 0

摘要

社会动态通常由两两(即二元)关系和高阶(即多元)群体关系驱动,可以用超图来描述。为了深入了解多进关系对网络动态过程的影响,我们制定并研究了一个多进选民过程,我们称之为群体驱动选民模型(GVM),该模型通过受群体(即超边缘)约束的非线性相互作用结合了群体动力学的影响。通过检查非线性和群体规模之间的竞争,我们表明GVM比标准选民模型动态更快地达成共识,并具有最佳最小退出时间。我们利用平均场理论在有N个节点的退火均匀超图上证实了这一发现,其出口时间尺度为AlnN,其中前因子A依赖于非线性和群约束因子。我们的研究结果揭示了群体相互作用和非线性之间的竞争如何塑造GVM动态。因此,我们强调了这种竞争效应在具有多进相互作用的复杂系统中的重要性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Competition between group interactions and nonlinearity in voter dynamics on hypergraphs.

Social dynamics are often driven by both pairwise (i.e., dyadic) relationships and higher-order (i.e., polyadic) group relationships, which one can describe using hypergraphs. To gain insight into the impact of polyadic relationships on dynamical processes on networks, we formulate and study a polyadic voter process, which we call the group-driven voter model (GVM), that incorporates the effects of group dynamics through nonlinear interactions that are subject to a group (i.e., hyperedge) constraint. By examining the competition between nonlinearity and group sizes, we show that the GVM achieves consensus faster than standard voter-model dynamics, with an optimal minimizing exit time. We substantiate this finding by using mean-field theory on annealed uniform hypergraphs with N nodes, for which the exit time scales as AlnN, where the prefactor A depends both on the nonlinearity and on group-constraint factors. Our results reveal how competition between group interactions and nonlinearity shapes GVM dynamics. We thereby highlight the importance of such competing effects in complex systems with polyadic interactions.

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来源期刊
Physical Review E
Physical Review E PHYSICS, FLUIDS & PLASMASPHYSICS, MATHEMAT-PHYSICS, MATHEMATICAL
CiteScore
4.50
自引率
16.70%
发文量
2110
期刊介绍: Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.
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