摘要翻译:
采用基于Wang-Landau和Lee熵采样格式的两种数值方法,研究了三维双峰($\PMH$)随机场Ising模型在强无序区的一阶跃迁特征。我们考虑线性尺寸在$L=4-32$范围内的简单立方晶格,并在两个无序强度值:$H=2$和$H=2.25$下模拟该系统。用Lee-Kosterlitz自由能垒方法解释了跃迁的性质。我们的结果表明,尽管有很强的类一级特征,但跃迁仍然是连续的,这与早期平均场理论对随机场高值时三重点的预测不一致。
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英文标题:
《First-order transition features of the 3D bimodal random-field Ising
model》
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作者:
N. G. Fytas, A. Malakis and K. Eftaxias
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最新提交年份:
2008
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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:
Two numerical strategies based on the Wang-Landau and Lee entropic sampling schemes are implemented to investigate the first-order transition features of the 3D bimodal ($\pm h$) random-field Ising model at the strong disorder regime. We consider simple cubic lattices with linear sizes in the range $L=4-32$ and simulate the system for two values of the disorder strength: $h=2$ and $h=2.25$. The nature of the transition is elucidated by applying the Lee-Kosterlitz free-energy barrier method. Our results indicate that, despite the strong first-order-like characteristics, the transition remains continuous, in disagreement with the early mean-field theory prediction of a tricritical point at high values of the random-field.
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PDF链接:
https://arxiv.org/pdf/802.0073