Resource data
Fracton dynamics of percolating elastic networks: Energy spectrum and localized nature
Yakubo, K. Nakayama, T. ???, ??
Location:
http://hdl.handle.net/2115/5656
PHYSICAL REVIEW B. 40(1), 1989, 517-523
http://dx.doi.org/10.1103/PhysRevB.40.517
We have performed computer experiments on the dynamics of two- and three-dimensional (2D and 3D) percolating elastic networks with the site number N>105. The densities of vibrational states (DOS’s) for these large percolating networks as well as the mode patterns of fractons are obtained. It is confirmed, for both 2D and 3D networks, that the DOS is proportional to ?d?-1 with d? close to (4/3 in the regime above the characteristic frequency ?c. We could not find the notable steepness or hump in the DOS at the vicinity of a phonon-fracton crossover frequency ?c, i.e., our results were incompatible with the prediction by the effective-medium theory. Specific realizations of mode patterns show that the core of fracton excitations falls off sharply at their edges, and that the localized nature is quite unique.
Belongs to: Hokkaido University Collection of Scholarly and Academic Papers
Descargar SCORM
¡Sea el primero en solicitar este recurso!
Para poder solicitar este recurso debe identificarse como usuario de la biblioteca
Users rating
No hay ninguna valoración para este recurso. Sea el primero en
valorar este recurso.
Detalles del recurso
|
Fracton dynamics of percolating elastic networks: Energy spectrum and localized nature
|
| Id. |
5709672 |
| Idioma |
inglés
|
| Titulo |
Fracton dynamics of percolating elastic networks: Energy spectrum and localized nature |
| Autor(es) |
Yakubo, K. Nakayama, T. ???, ?? |
| Location |
http://hdl.handle.net/2115/5656
PHYSICAL REVIEW B. 40(1), 1989, 517-523
http://dx.doi.org/10.1103/PhysRevB.40.517
|
| Versión |
1.0 |
| Estado |
Final
|
| Descripción |
We have performed computer experiments on the dynamics of two- and three-dimensional (2D and 3D) percolating elastic networks with the site number N>105. The densities of vibrational states (DOS’s) for these large percolating networks as well as the mode patterns of fractons are obtained. It is confirmed, for both 2D and 3D networks, that the DOS is proportional to ?d?-1 with d? close to (4/3 in the regime above the characteristic frequency ?c. We could not find the notable steepness or hump in the DOS at the vicinity of a phonon-fracton crossover frequency ?c, i.e., our results were incompatible with the prediction by the effective-medium theory. Specific realizations of mode patterns show that the core of fracton excitations falls off sharply at their edges, and that the localized nature is quite unique. |
| Tipo |
1336776 bytes application/pdf |
| Palabras clave |
431.1 |
| Tipo de recurso |
article
|
| Tipo de Interactividad |
Expositivo
|
| Nivel de Interactividad |
muy bajo
|
| Audiencia |
Estudiante
Profesor
Autor
|
| Estructura |
Atomic |
| Coste |
no
|
| Copyright |
sí
|
|
Copyright © 1989 American Institute of Physics |
| Formatos |
1336776 bytes application/pdf |
| Requerimientos técnicos |
Browser: Any |
| Relación |
[References] http://www.aip.org/
|
| Fecha de contribución |
25-oct-2007 |
| Contacto |
|
|