Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit.
Phys Rev E Stat Nonlin Soft Matter Phys
; 81(6 Pt 2): 066210, 2010 Jun.
Article
em En
| MEDLINE
| ID: mdl-20866504
We study the number of propagating Bloch modes N(B) of an infinite periodic billiard chain. The asymptotic semiclassical behavior of this quantity depends on the phase-space dynamics of the unit cell, growing linearly with the wave number k in systems with a non-null measure of ballistic trajectories and going like â¼square root of k in diffusive systems. We have calculated numerically N(B) for a waveguide with cosine-shaped walls exhibiting strongly diffusive dynamics. The semiclassical prediction for diffusive systems is verified to good accuracy and a connection between this result and the universality of the parametric variation of energy levels is presented.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2010
Tipo de documento:
Article
País de afiliação:
Chile
País de publicação:
Estados Unidos