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首页> 外文期刊>Physica status solidi, B. Basic research >Transfer-matrix study of critical properties of the Ising model following from the three-cluster MFRG approach
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Transfer-matrix study of critical properties of the Ising model following from the three-cluster MFRG approach

机译：基于三聚类MFRG方法的Ising模型关键属性的传递矩阵研究

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Using a transfer matrix technique and the Ising model, the predictions of the MFRG concept for clusters with linear size up to 21 have been tested for the three-cluster MFRG approach. Even for small sizes of the clusters, the three-cluster estimates of critical couplings and bulk critical exponents give the accuracy level equal to that of two-cluster renormalization for much greater sizes. Performing the asymptotic analysis for the new data, the convergence of the surface critical exponent y(hs) towards the exact value is illustrated for the first time. Our improved method has enabled us to obtain the results for clusters with substantially greater sizes, to accelerate the calculations and also to confirm the reliability of the MFRG approach for the Ising model. (c) 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
机译：使用转移矩阵技术和Ising模型，对于三集群MFRG方法，已经测试了线性最大为21的簇的MFRG概念的预测。即使对于较小的群集，对于更大的大小，关键耦合和本体关键指数的三类估计也可以提供与两类重归一化相同的精度。对新数据进行渐近分析，首次说明了表面临界指数y（hs）向精确值的收敛。我们改进的方法使我们能够获得具有更大尺寸的聚类的结果，从而加快了计算速度，并确认了Ising模型的MFRG方法的可靠性。 （c）2006威尼海姆威利威世私人有限公司。

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