Herrera-González I F, Méndez-Bermúdez J A, Izrailev F M
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico.
Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico and NSCL and Department of Physics and Astronomy, Michigan State University - East Lansing, Michigan 48824-1321, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Oct;90(4):042115. doi: 10.1103/PhysRevE.90.042115. Epub 2014 Oct 8.
We study transport properties of bulk-disordered quasi-one-dimensional (Q1D) wires paying main attention to the role of long-range correlations embedded into the disorder. First, we show that for stratified disorder for which the disorder is the same for all individual chains forming the Q1D wire, the transport properties can be analytically described provided the disorder is weak. When the disorder in every chain is not the same, however it has the same binary correlator, the general theory is absent. Thus, we consider the case when only one channel is open and all others are closed. For this situation we suggest a semianalytical approach which is quite effective for the description of the total transmission coefficient. Our numerical data confirm the validity of this approach.
我们研究了块状无序准一维(Q1D)导线的输运性质,主要关注嵌入无序中的长程关联的作用。首先,我们表明,对于分层无序,即构成Q1D导线的所有单个链的无序相同,只要无序较弱,输运性质就可以用解析方法描述。然而,当每个链中的无序不同但具有相同的二元关联函数时,尚无通用理论。因此,我们考虑只有一个通道开放而其他所有通道都关闭的情况。对于这种情况,我们提出了一种半解析方法,该方法对于描述总传输系数非常有效。我们的数值数据证实了这种方法的有效性。