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2022-04-02
摘要翻译:
在粗糙阶段,分隔统计系统不同阶段的界面宽度随系统规模对数增加。这种现象通常用毛细管波模型来描述,该模型处理波动的无限薄的膜,需要在动量空间中进行特殊的截断。我们在Landau-Ginzburg模型框架下,即重整化场论框架下,在单圈近似下,从第一性原理出发研究了界面粗糙化。用解析法计算了界面轮廓和宽度,得到了有限个系数确定的表达式。它们在标度区是有效的,并依赖于已知的重整化耦合常数。
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英文标题:
《Interfacial roughening in field theory》
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作者:
Michael H. K\"opf and Gernot M\"unster (University of Muenster)
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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:
  In the rough phase, the width of interfaces separating different phases of statistical systems increases logarithmically with the system size. This phenomenon is commonly described in terms of the capillary wave model, which deals with fluctuating, infinitely thin membranes, requiring ad hoc cut-offs in momentum space. We investigate the interface roughening from first principles in the framework of the Landau-Ginzburg model, that is renormalized field theory, in the one-loop approximation. The interface profile and width are calculated analytically, resulting in finite expressions with definite coefficients. They are valid in the scaling region and depend on the known renormalized coupling constant.
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PDF链接:
https://arxiv.org/pdf/801.3598
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