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雷达卡
摘要翻译：
在零温极限下的有限连通度自旋玻璃中，自旋值不固定的未冻结顶点之间存在长程关联。通过第一步重复对称破缺(1RSB)腔理论，这种长程挫败部分被消除，但在这种平均场解中，残留的长程挫败可能仍然存在。本文利用布居数动力学的方法，对自旋玻璃系统的1RSB解进行了微扰-渗流分析，计算了系统的长程挫裂度的大小。我们研究了两个已有研究的模型系统：最小顶点覆盖问题和最大2-可满足性问题。这一工作为改进自旋玻璃的零温1RSB平均场理论提供了一条可能的途径。
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英文标题：
《Long-range frustration in T=0 first-step replica-symmetry-broken
solutions of finite-connectivity spin glasses》
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作者：
Jie Zhou (ITP-Cas), Hui Ma (ITP-Cas), and Haijun Zhou (ITP-Cas)
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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：
In a finite-connectivity spin-glass at the zero-temperature limit, long-range correlations exist among the unfrozen vertices (whose spin values being non-fixed). Such long-range frustrations are partially removed through the first-step replica-symmetry-broken (1RSB) cavity theory, but residual long-range frustrations may still persist in this mean-field solution. By way of population dynamics, here we perform a perturbation-percolation analysis to calculate the magnitude of long-range frustrations in the 1RSB solution of a given spin-glass system. We study two well-studied model systems, the minimal vertex-cover problem and the maximal 2-satisfiability problem. This work points to a possible way of improving the zero-temperature 1RSB mean-field theory of spin-glasses.
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PDF链接：
https://arxiv.org/pdf/706.0259
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