摘要翻译:
本文从非对称简单排斥过程的角度,综述了利用随机矩阵理论中的技巧对一维Kardar-Parisi-Zhang普适类涨落的研究。我们解释了随机矩阵技术的基础,与多核生长模型的联系和一种使用格林函数的方法。
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英文标题:
《Fluctuations of the one-dimensional asymmetric exclusion process using
random matrix techniques》
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作者:
T. Sasamoto
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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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英文摘要:
The studies of fluctuations of the one-dimensional Kardar-Parisi-Zhang universality class using the techniques from random matrix theory are reviewed from the point of view of the asymmetric simple exclusion process. We explain the basics of random matrix techniques, the connections to the polynuclear growth models and a method using the Green's function.
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PDF链接:
https://arxiv.org/pdf/705.2942