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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Potts model with q = 4, 6, and 8 states on Voronoi-Delaunay random lattice
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Potts model with q = 4, 6, and 8 states on Voronoi-Delaunay random lattice

机译：在Voronoi-Delaunay随机格上具有q = 4、6和8状态的Potts模型

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摘要

Through Monte Carlo simulations we study the 2D Potts models with q = 4, 6 and 8 states on Voronoi-Delaunay random lattice. In this study, we assume that the coupling factor J varies with the distance r between the first neighbors as J (r) ∝ e~(- a r), with a ≥ 0. The disordered system is simulated by applying the single-cluster Monte Carlo update algorithm and the reweighting technique. In this model both second-order and first-order phase transitions are present depending on q values and a parameter. The critical exponents' ratios β / ν, γ / ν, and 1 / ν were calculated for the case where the second-order phase transitions are present. In the Potts model with q = 8 we also studied the distribution of cluster sizes.
机译：通过蒙特卡洛模拟，我们研究了Voronoi-Delaunay随机晶格上q = 4、6和8状态的2D Potts模型。在这项研究中，我们假设耦合因子J随着第一个邻居之间的距离r随J（r）∝ e〜（-ar）的变化而变化，且≥0。无序系统是通过应用单集群Monte来模拟的。 Carlo更新算法和权重技术。在该模型中，取决于q值和参数，同时存在二阶和一阶相变。对于存在二阶相变的情况，计算临界指数的比率β/ν，γ/ν和1 /ν。在q = 8的Potts模型中，我们还研究了簇大小的分布。

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