摘要翻译:
我们回顾了最近对高维界面动力学增长的Kardar-Parisi-Zhang方程的渐近弱噪声方法。弱噪声方法根据局部增长模式的网络提供了一个增长界面的多体图像。一维缩放与无间隙畴壁模式相关联。该方法还为上临界维数的存在提供了一个独立的论证。
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英文标题:
《Patterns in the Kardar-Parisi-Zhang equation》
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作者:
Hans C. Fogedby
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最新提交年份:
2008
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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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英文摘要:
We review a recent asymptotic weak noise approach to the Kardar-Parisi-Zhang equation for the kinetic growth of an interface in higher dimensions. The weak noise approach provides a many body picture of a growing interface in terms of a network of localized growth modes. Scaling in 1d is associated with a gapless domain wall mode. The method also provides an independent argument for the existence of an upper critical dimension.
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PDF链接:
https://arxiv.org/pdf/802.1285