Impact of weak localization in the time domain
S. K. Cheung, X. Zhang, Z. Q. Zhang, A. A. Chabanov, A. Z. Genack
Abstract
We find a renormalized "time-dependent diffusion coefficient", D(t), for pulsed excitation of a nominally diffusive sample by solving the Bethe-Salpeter equation with recurrent scattering. We observe a crossover in dynamics in the transformation from a quasi-1D to a slab geometry implemented by varying the ratio of the radius, R, of the cylindrical sample with reflecting walls and the sample length, L. Immediately after the peak of the transmitted pulse, D(t) falls linearly with a nonuniversal slope that approaches an asymptotic value for R/L >> 1. The value of D(t) extrapolated to t = 0 depends only upon the dimensionless conductance, g, for R/L << l 1 and only upon kl for R/L >> 1, where k is the wave vector and l is the bare mean free path.
Create a lesson
Related papers
Thermodynamics of Forgetting in a Bounded Hopfield Network
Andrea Lepre
On the critical value of void percolation in high dimensions
Patrick Charbonneau, Marcus Michelen
Nonequilibrium Spin-Glass Order in a Long-Range Quantum Ising Glass and Its Sensitivity to Noise
Giuseppe D'Auria, Alessandro Silva
Cell-type-specific modularity in E/I networks shapes dynamical regimes and computational capabilities
Emmanouil Giannakakis, Victor Buendía, Oleg Vinogradov et al.
Finite-width shift of the edge of chaos in deep neural networks
Arn Caesar
Neural Networks with Exciton-Polariton Waveguides
Huawen Xu, Ruiqi Bao, Lingyu Tian et al.