被驱逐出结构平衡的天堂
Expulsion from structurally balanced paradise
摘要:
我们使用热浴算法在三角形晶格上模拟结构平衡演化。与类似的方法相反-但应用于分析完全图-三角格拓扑成功地防止了甚至部分海德平衡的发生。从海德乐园的状态说起,系统的演化导致失衡无序的状态只是时间问题。系统弛豫时间与系统大小无关。在早期研究的处理结构平衡的系统中,没有观察到缺乏任何平衡状态的迹象。
英文摘要:
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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