Chaotic classical scattering and dynamics in oscillating 1-D potential wells


Por: Luna-Acosta G.A., Orellana-Rivadeneyra G., Mendoza-Galván A., Jung C.

Publicada: 1 ene 2001
Resumen:
We study the motion of a classical particle interacting with one, two, and finally an infinite chain of 1-D square wells with oscillating depth. For a single well we find complicated scattering behavior even though there is no topological chaos due to the absence of hyperbolic periodic orbits. In contrast, for two coupled square wells there is chaotic scattering. The infinite oscillating chain yields the generic transition to chaos, with diffusion in energy and in space, as the separation between wells is increased. We briefly discuss the relevance of our results to solid state physics.

Filiaciones:
Luna-Acosta G.A.:
 Instituto de Física, Universidad Autónoma de Puebla, Apdo. Postal J-48, Puebla Pue. 72570, Mexico

Orellana-Rivadeneyra G.:
 Instituto de Física, Universidad Autónoma de Puebla, Apdo. Postal J-48, Puebla Pue. 72570, Mexico

Mendoza-Galván A.:
 CINVESTAV, Querétaro, Apdo. Postal 1-798, 76001, Querétaro, Mexico

Jung C.:
 Centra de Ciencias Físicas, Universidad Nacional Autónoma de Mexico, Apdo. Postal 139-B, 62191, Cuernavaca, Mexico
ISSN: 09600779
Editorial
Elsevier Science Ltd, Exeter, United Kingdom, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, Reino Unido
Tipo de documento: Article
Volumen: 12 Número: 2
Páginas: 349-363
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