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2022-03-29
摘要翻译:
用Monte Carlo方法研究了无序铁磁Ising模型在非磁性杂质原子浓度变化范围内的临界行为。测定了不同自旋浓度和不同线性尺寸样品的相关长度和磁化率的温度依赖性。利用有限尺度标度技术获得这些量的标度函数,这些量在临界区表现出普遍的行为;临界温度和静态临界指数也用标度修正来确定。根据标度函数和临界指数值随浓度的变化,得出了弱无序和强无序体系的稀释Ising模型存在两类具有不同性质的普遍临界行为的结论。
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英文标题:
《Computer simulation of the critical behavior of 3D disordered Ising
  model》
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作者:
V. Prudnikov, P. Prudnikov, A. Vakilov, A. Krinitsyn
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最新提交年份:
2007
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分类信息:

一级分类:Physics        物理学
二级分类:Disordered Systems and Neural Networks        无序系统与神经网络
分类描述:Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜;随机、非周期和准周期系统的性质;无序介质中的传输;本地化;由缺陷和无序介导的现象;神经网络
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一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  The critical behavior of the disordered ferromagnetic Ising model is studied numerically by the Monte Carlo method in a wide range of variation of concentration of nonmagnetic impurity atoms. The temperature dependences of correlation length and magnetic susceptibility are determined for samples with various spin concentrations and various linear sizes. The finite-size scaling technique is used for obtaining scaling functions for these quantities, which exhibit a universal behavior in the critical region; the critical temperatures and static critical exponents are also determined using scaling corrections. On the basis of variation of the scaling functions and values of critical exponents upon a change in the concentration, the conclusion is drawn concerning the existence of two universal classes of the critical behavior of the diluted Ising model with different characteristics for weakly and strongly disordered systems.
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PDF链接:
https://arxiv.org/pdf/709.145
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