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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >ACCURATE ESTIMATES OF 3D ISING CRITICAL EXPONENTS USING THE COHERENT-ANOMALY METHOD
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ACCURATE ESTIMATES OF 3D ISING CRITICAL EXPONENTS USING THE COHERENT-ANOMALY METHOD

机译:相干异常法精确估算3D Iing临界指数

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摘要

An analysis of the critical behavior of the three-dimensional Ising model using the coherent-anomaly method (CAM) is presented. Various sources of errors in CAM estimates of critical exponents are discussed, and an improved scheme for the CAM data analysis is tested. Using a set of mean-field type approximations based on the variational series expansion approach, accuracy comparable to the most precise conventional methods has been achieved. Our results for the critical exponents are given by alpha = 0.108(5), beta = 0.327(4), gamma = 1.237(4) and delta = 4.77(5). [References: 33]
机译:提出了使用相干异常方法(CAM)对三维伊辛模型的临界行为进行分析。讨论了关键指数的CAM估计中的各种误差源,并测试了CAM数据分析的改进方案。使用基于变分级数展开方法的一组平均场类型逼近,可以实现可与最精确的常规方法相媲美的精度。我们的临界指数结果由alpha = 0.108(5),beta = 0.327(4),gamma = 1.237(4)和delta = 4.77(5)给出。 [参考:33]

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