Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit.

Barra, Felipe; Maurel, Agnes; Pagneux, Vincent; Zuñiga, Jaime

Barra, Felipe; Maurel, Agnes; Pagneux, Vincent; Zuñiga, Jaime.

Afiliação

Barra F; Departamento de Física y CIMAT, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile.

Phys Rev E Stat Nonlin Soft Matter Phys ; 81(6 Pt 2): 066210, 2010 Jun.

Article em En | MEDLINE | ID: mdl-20866504

RESUMO

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

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