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Statistics of Rare Events in Disordered Conductors

机译:无序导体中稀有事件的统计

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摘要

Asymptotic behavior of distribution functions of local quantities indisordered conductors is studied in the weak disorder limit by means of anoptimal fluctuation method. It is argued that this method is more appropriatefor the study of seldom occurring events than the approaches based on nonlinear$\sigma$-models because it is capable of correctly handling fluctuations of therandom potential with large amplitude as well as the short-scale structure ofthe corresponding solutions of the Schr\"{o}dinger equation. For two- andthree-dimensional conductors new asymptotics of the distribution functions areobtained which in some cases differ significantly from previously establishedresults.
机译:利用最优涨落法研究了无序导体中局部无序导体分布函数的渐近行为。有人认为,这种方法比基于非线性\ sigma $模型的方法更适合于很少发生的事件的研究,因为它能够正确处理大幅度的随机势的波动以及短尺度的结构。对于二维和二维导体,获得了分布函数的新渐近性,在某些情况下,渐近性与先前确定的结果明显不同。

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