摘要翻译:
我们用解析方法计算了Sherrington-Kirkpatrick平均场模型的自旋玻璃自由能中大偏差的概率分布,即计算了找到一个强自由能小于最可能系统的指数小概率。这个结果是通过计算配分函数的平均值作为$N$的函数而得到的。在零温下,这一绝对预报与数值结果在定量上有很好的一致性。
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英文标题:
《Large Deviations in the Free-Energy of Mean-Field Spin-Glasses》
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作者:
Giorgio Parisi and Tommaso Rizzo
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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:
We compute analytically the probability distribution of large deviations in the spin-glass free energy for the Sherrington-Kirkpatrick mean field model, i.e. we compute the exponentially small probability of finding a system with intensive free energy smaller than the most likely one. This result is obtained by computing the average value of the partition function to the power $n$ as a function of $n$. At zero temperature this absolute prediction displays a remarkable quantitative agreement with the numerical data.
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PDF链接:
https://arxiv.org/pdf/706.118