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Critical amplitude ratio of the susceptibility in the random-site two-dimensional Ising model - art. no. 016107

机译:随机站点二维Ising模型中磁化率的临界振幅比-艺术。没有。 016107

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摘要

We present a different way of probing the universality class of the site-diluted two-dimensional Ising model. We analyze Monte Carlo data for the magnetic susceptibility, introducing a fitting procedure in the critical region applicable even for a single sample with quenched disorder. This gives us the possibility to fit simultaneously the critical exponent, the critical amplitude, and the sample-dependent pseudocritical temperature. The critical amplitude ratio of the magnetic susceptibility is seen to be independent of the concentration q of the empty sites for all investigated values of qless than or equal to0.25. At the same time the average effective exponent gamma(eff) is found to vary with the concentration q, which may be argued to be due to logarithmic corrections to the power law of the pure system. These corrections are canceled in the susceptibility amplitude ratio as predicted by theory. The central charge of the corresponding field theory was computed and compared well with the theoretical predictions. [References: 44]
机译:我们提出了一种探索站点稀释的二维Ising模型的通用性类别的不同方法。我们分析了蒙特卡洛数据的磁化率,并在关键区域引入了拟合程序,即使对于具有淬火无序的单个样品也是如此。这使我们有可能同时拟合临界指数,临界幅度和与样本有关的伪临界温度。对于所有小于或等于0.25的q的调查值,磁化率的临界振幅比与空位的浓度q无关。同时,发现平均有效指数gamma(eff)随着浓度q的变化而变化,这可能被认为是由于对纯系统的幂定律进行了对数校正。如理论所预测的,这些校正在磁化率比中被抵消。计算了相应场论的中心电荷,并将其与理论预测进行了很好的比较。 [参考:44]

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