正方形和蜂窝格子上的反铁磁多数选举模型
Antiferromagnetic majority voter model on square and honeycomb lattices
摘要：
提出了一个反铁磁版本的著名的大多数选民模型的正方形和蜂窝格子。蒙特卡罗模拟给出了在这两种情况下的定态连续有序-无序相变的证据。结合三种累积量，得到了临界点的精确估计，与已报道的等效铁磁系统的临界点估计值吻合较好。求出了临界指数$1/ν$、$γ/ν$和$β/ν$，它们的值表明反铁磁多数选举模型的定态属于伊辛模型普适类.
英文摘要：
An antiferromagnetic version of the well-known majority voter model on square and honeycomb lattices is proposed. Monte Carlo simulations give evidence for a continuous order-disorder phase transition in the stationary state in both cases. Precise estimates of the critical point are found from the combination of three cumulants, and our results are in good agreement with the reported values of the equivalent ferromagnetic systems. The critical exponents $1/ν$, $γ/ν$ and $β/ν$ were found. Their values indicate that the stationary state of the antiferromagnetic majority voter model belongs to the Ising model universality class.
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