[图书][B] Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

PA Mello, N Kumar - 2004 - books.google.com
The aim of this book is to present a statistical theory of wave scattering by complex systems-
systems which have a chaotic classical dynamics, as in the case of microwave cavities and …

[图书][B] Fractional kinetics in solids: anomalous charge transport in semiconductors, dielectrics and nanosystems

VV Uchaikin, RT Sibatov - 2012 - books.google.com
The standard (Markovian) transport model based on the Boltzmann equation cannot
describe some non-equilibrium processes called anomalous that take place in many …

Random matrix theory and symmetric spaces

M Caselle, U Magnea - Physics reports, 2004 - Elsevier
In this review we discuss the relationship between random matrix theories and symmetric
spaces. We show that the integration manifolds of random matrix theories, the eigenvalue …

Lyapunov exponents, one-dimensional Anderson localization and products of random matrices

A Comtet, C Texier, Y Tourigny - Journal of Physics A …, 2013 - iopscience.iop.org
The concept of Lyapunov exponent has long occupied a central place in the theory of
Anderson localization; its interest in this particular context is that it provides a reasonable …

[PDF][PDF] Numerical analysis of the Anderson localization

P Markos - arXiv preprint cond-mat/0609580, 2006 - arxiv.org
arXiv:cond-mat/0609580v1 [cond-mat.mes-hall] 22 Sep 2006 Page 1 arXiv:cond-mat/0609580v1
[cond-mat.mes-hall] 22 Sep 2006 submitted to acta physica slovaca 1– 123 NUMERICAL …

From wires to cosmology

MA Amin, D Baumann - Journal of Cosmology and Astroparticle …, 2016 - iopscience.iop.org
We provide a statistical framework for characterizing stochastic particle production in the
early universe via a precise correspondence to current conduction in wires with impurities …

Bootstrapping cascaded random matrix models: Correlations in permutations of matrix products

N Byrnes, GRW Greaves, MR Foreman - Physical Review E, 2024 - APS
Random matrix theory is a useful tool in the study of the physics of multiple scattering
systems, often striking a balance between computation speed and physical rigour …

Random matrix theory of polarized light scattering in disordered media

N Byrnes, MR Foreman - Waves in Random and Complex Media, 2022 - Taylor & Francis
In this work we present a method for generating random matrices describing
electromagnetic scattering from disordered media containing dielectric particles with …

Conductance distribution in strongly disordered mesoscopic systems in three dimensions

KA Muttalib, P Markoš, P Wölfle - Physical Review B—Condensed Matter and …, 2005 - APS
Recent numerical simulations have shown that the distribution of conductances P (g) in
three-dimensional strongly localized systems differs significantly from the expected log …

Controlling conductance statistics of quantum wires by driving ac fields

VA Gopar, RA Molina - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We calculate the entire distribution of the conductance P (G) of a one-dimensional
disordered system—quantum wire—subject to a time-dependent field. Our calculations are …