具有自由表面的无序系统的临界行为

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摘要翻译：
在群论的基础上，直接在三维空间中用双圈近似描述了具有自由边界的齐次和无序系统的行为。揭示了自由边界对体临界行为区的影响。结果表明，在普通跃迁情况下，系统的有界性对体临界行为的范围影响较小，而在特殊跃迁情况下，这种影响更为明显。描述了均匀体系和无序体系的表面临界现象，并在双回路近似下计算了临界指数。结果表明，在特殊相变中，杂质的影响不大，而在普通相变中，杂质的影响更为明显。将导出的临界指数与计算机模拟结果进行了比较。
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英文标题：
《Critical Behavior of Disordered Systems with a Free Surface》
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作者：
S. V. Belim
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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：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：
  The behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the two-loop approximation directly in three-dimensional space. The effect of the free boundary on the regime of the bulk critical behavior is revealed. It is shown that the boundedness of the system slightly affects the regime of the bulk critical behavior in the case of the ordinary transition, whereas this effect is more noticeable in the case of the special transition. Surface critical phenomena are described for homogeneous and disordered systems, and the critical exponents are calculated in the two-loop approximation. It is shown that the effect of impurities is insignificant in the special phase transition, whereas it is more noticeable in the ordinary phase transition. The derived critical exponents are compared with the computer-simulation results.
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PDF链接：
https://arxiv.org/pdf/710.3465

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关键词：localization homogeneous equilibrium Transitions Statistical effect 临界现象 boundary 计算机 transition