含时局域场分布和亚稳态 SK自旋玻璃

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摘要翻译：
在某些转变温度以下的玻璃体系中，根据初始条件和动力学细节，可以达到不同的亚稳态。研究了具有长程相互作用的Sherrington-Kirkpatrick自旋玻璃模型。特别地，计算了零温度下随时间变化的局域场分布和能量。这是为一个系统淬火到零温度，缓慢冷却或模拟退火，贪婪的算法和重复敲击。结果由蒙特卡罗模拟和Master-Fokker-Planck方法得到。通过与复制品对称性破缺理论的高阶比较，发现由动力学得到的能量高于复制品理论的基态能量。另一方面，抽头和模拟退火得到的结果与基态能量非常接近。对于小场，局部场分布趋于零。这与爱德华兹平坦测度假说形成鲜明对比。不同攻丝强度下的能量分布也不遵循Edwards提出的标准形式。
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英文标题：
《Time Dependent Local Field Distribution and Metastable States in the
  SK-Spin-Glass》
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作者：
Heinz Horner
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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：
  Different sets of metastable states can be reached in glassy systems below some transition temperature depending on initial conditions and details of the dynamics. This is investigated for the Sherrington-Kirkpatrick spin glass model with long ranged interactions. In particular, the time dependent local field distribution and energy are calculated for zero temperature. This is done for a system quenched to zero temperature, slow cooling or simulated annealing, a greedy algorithm and repeated tapping. Results are obtained from Monte-Carlo simulations and a Master-Fokker-Planck approach. A comparison with replica symmetry broken theory, evaluated in high orders, shows that the energies obtained via dynamics are higher than the ground state energy of replica theory. Tapping and simulated annealing yield on the other hand results which are very close to the ground state energy. The local field distribution tends to zero for small fields. This is in contrast to the Edwards flat measure hypothesis. The distribution of energies obtained for different tapping strengths does again not follow the canonical form proposed by Edwards.
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PDF链接：
https://arxiv.org/pdf/707.2714

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关键词：distribution interactions localization Monte-carlo Simulations 形成 理论 遵循 亚稳态