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摘要翻译：
本文从随机矩阵理论的Jacobi系综出发，指出任意数目的输入和输出导联$(N_1,N_2)$在混沌腔中的传输特征值密度和高阶相关函数是已知的。利用这一结果和一个简单的线性统计量，我们给出了形式为$<\lambda1^m>$对于$m>-n_1-n_2-1$和$\beta=2$的矩的精确的非扰动表达式，从而改进了文献中的已有结果。其次，在$\beta=2,4$的情况下，我们给出了平均密度和高阶相关函数的独立推导，它不使用正交多项式技术。这一结果可能对避免行列式的有效数值实现有关。
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英文标题：
《Transmission Eigenvalue Densities and Moments in Chaotic Cavities from
Random Matrix Theory》
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作者：
Pierpaolo Vivo, Edoardo Vivo
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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：Mesoscale and Nanoscale Physics 介观和纳米物理
分类描述：Semiconducting nanostructures: quantum dots, wires, and wells. Single electronics, spintronics, 2d electron gases, quantum Hall effect, nanotubes, graphene, plasmonic nanostructures
半导体纳米结构：量子点、线和阱。单电子学，自旋电子学，二维电子气，量子霍尔效应，纳米管，石墨烯，等离子纳米结构
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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：
We point out that the transmission eigenvalue density and higher order correlation functions in chaotic cavities for an arbitrary number of incoming and outgoing leads $(N_1,N_2)$ are analytically known from the Jacobi ensemble of Random Matrix Theory. Using this result and a simple linear statistic, we give an exact and non-perturbative expression for moments of the form $<\lambda_1^m>$ for $m>-|N_1-N_2|-1$ and $\beta=2$, thus improving the existing results in the literature. Secondly, we offer an independent derivation of the average density and higher order correlation functions for $\beta=2,4$ which does not make use of the orthogonal polynomials technique. This result may be relevant for an efficient numerical implementation avoiding determinants.
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PDF链接：
https://arxiv.org/pdf/801.3026
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