摘要翻译：
与蒙特卡罗模拟等标准方法相比，使用计算机科学问题的映射和应用复杂的算法，可以更好地研究许多问题。在这里，利用适当的扰动系统的基态计算，在二维+-J自旋玻璃中获得了液滴，这是目前非常活跃的争论的焦点。由于采用了一种复杂的匹配算法，所以可以产生L^2=256^2自旋的大系统的精确基态。此外，不需要平衡或外推到t=0。本文研究了三种不同的+-J模型：a）开边界条件，b)固定边界条件和c）稀释体系，其中所有键的分数P=0.125为零。对于大系统，三种模型的液滴能量均呈幂律行为E_dl^\theta′_d<0。这与以前的畴壁研究不同，在以前的研究中，这类模型收敛到一个常数的非零值(\theta_dw=0)。修正液滴的不致密性后，三种模型的结果都可能与\theta_d=-0.29相一致。这符合高斯系统，其中\theta_d=-0.287(4)(\nu=3.5 via\nu=-1/\theta_d)。然而，无序平均自旋-自旋关联指数Eta是通过存在非零能液滴的概率来确定的，三个模型的Eta~0.22$，这与高斯相互作用模型的行为相反，高斯相互作用模型的Eta=0。
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英文标题：
《Droplets in the two-dimensional +-J spin glass: evidence for (non-)
  universality》
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作者：
A. K. Hartmann
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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：
  Using mappings to computer-science problems and by applying sophisticated algorithms, one can study numerically many problems much better compared to applying standard approaches like Monte Carlo simulations. Here, using calculations of ground states of suitable perturbed systems, droplets are obtained in two-dimensional +-J spin glasses, which are in the focus of a currently very lifely debate. Since a sophisticated matching algorithm is applied here, exact ground states of large systems up to L^2=256^2 spins can be generated. Furthermore, no equilibration or extrapolation to T=0 is necessary. Three different +-J models are studied here: a) with open boundary conditions, b) with fixed boundary conditions and c) a diluted system where a fraction p=0.125 of all bonds is zero. For large systems, the droplet energy shows for all three models a power-law behavior E_D L^\theta'_D with \theta'_D<0. This is different from previous studies of domain walls, where a convergence to a constant non-zero value (\theta_dw=0) has been found for such models. After correcting for the non-compactness of the droplets, the results are likely to be compatible with \theta_D= -0.29 for all three models.   This is in accordance with the Gaussian system where \theta_D=-0.287(4) (\nu=3.5 via \nu=-1/\theta_D). Nevertheless, the disorder-averaged spin-spin correlation exponent \eta is determined here via the probability to have a non-zero-energy droplet, and \eta~0.22$ is found for all three models, this being in contrast to the behavior of the model with Gaussian interactions, where exactly \eta=0.
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PDF链接：
https://arxiv.org/pdf/704.2748