论文标题

从结构平衡的天堂中驱逐

Expulsion from structurally balanced paradise

论文作者

Malarz, Krzysztof, Wołoszyn, Maciej

论文摘要

我们使用热浴算法在三角形晶格上进行结构平衡演化的模拟。与类似的方法相反 - - 但应用于完整图的分析---三角晶格拓扑成功阻止了甚至部分局部的平衡。从海德(Heider)的天堂状态开始,这只是系统的演变导致不平衡和混乱状态的时间问题。系统放松的时间不取决于系统大小。在处理结构平衡的早期研究系统中,没有观察到缺乏平衡状态的任何迹象。

We perform simulations of structural balance evolution on a triangular lattice using the heat-bath algorithm. In contrast to similar approaches---but applied to analysis of complete graphs---the triangular lattice topology successfully prevents the occurrence of even partial Heider balance. Starting with the state of Heider's paradise, it is just a matter of time when the evolution of the system leads to an unbalanced and disordered state. The time of the system relaxation does not depend on the system size. The lack of any signs of a balanced state was not observed in earlier investigated systems dealing with the structural balance.

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