Symmetry breaking between statistically equivalent, independent channels in few-channel chaotic scattering

Mejia-Monasterio, Carlos and Oshanin, Gleb and Schehr, Gregory (2011). Symmetry breaking between statistically equivalent, independent channels in few-channel chaotic scattering. "Physical Review E", v. 84 ; pp.. https://doi.org/10.1103/PhysRevE.84.035203.

Description

Title: Symmetry breaking between statistically equivalent, independent channels in few-channel chaotic scattering
Author/s:
  • Mejia-Monasterio, Carlos
  • Oshanin, Gleb
  • Schehr, Gregory
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 2011
Volume: 84
Subjects:
Faculty: E.T.S.I. Agrónomos (UPM) [antigua denominación]
Department: Ingeniería Rural [hasta 2014]
UPM's Research Group: LPF-TAGRALIA
Creative Commons Licenses: Recognition - Non commercial

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Abstract

We study the distribution function P(ω) of the random variable ω = τ1/(τ1 +· · ·+τN), where τk ’s are the partial Wigner delay times for chaotic scattering in a disordered system with N independent, statistically equivalent channels. In this case, τk’s are independent and identically distributed random variables with a distribution (τ ) characterized by a “fat” power-law intermediate tail ∼1/τ 1+μ, truncated by an exponential (or a log-normal) function of τ. For N = 2 and N = 3, we observe a surprisingly rich behavior of P(ω), revealing a breakdown of the symmetry between identical independent channels. For N = 2, numerical simulations of the quasi-one-dimensional Anderson model confirm our findings.

More information

Item ID: 9832
DC Identifier: http://oa.upm.es/9832/
OAI Identifier: oai:oa.upm.es:9832
DOI: 10.1103/PhysRevE.84.035203
Official URL: http://pre.aps.org/abstract/PRE/v84/i3/e035203
Deposited by: Dr. Carlos Mejia-Monasterio
Deposited on: 13 Dec 2011 12:30
Last Modified: 17 Dec 2018 06:55
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