摘要翻译:
我们精确地证明了外场单调变化的随机场伊辛模型(RFIM)基态演化中的不通过规则。特别地,我们证明了不通过规则的应用可以大大加快零温平衡$M(H)$曲线的计算。
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英文标题:
《No-passing Rule in the Ground State Evolution of the Random-Field Ising
Model》
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作者:
Yang Liu and Karin A. Dahmen
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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: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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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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英文摘要:
We exactly prove the no-passing rule in the ground state evolution of the random-field Ising model (RFIM) with monotonically varying external field. In particular, we show that the application of the no-passing rule can speed up the calculation of the zero-temperature equilibrium $M(H)$ curve dramatically.
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PDF链接:
https://arxiv.org/pdf/705.0186