Building and destroying symmetry in 1-D elastic systems

Journal Article · Thu Dec 23 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3537866· OSTI ID:21511350

Flores, J; Monsivais, G; Mora, P ^[1]; Morales, A; Mendez-Sanchez, R A; Diaz-de-Anda, A; Gutierrez, L ^[2]

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1. Instituto de Fisica, Universidad Nacional Autonoma de Mexico, A. P. 20-364, 01000, Mexico, D. F. (Mexico)
2. Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico, A.P. 48-3, 62251, Cuernavaca, Morelos (Mexico)

Locally periodic rods, which show approximate invariance with respect to translations, are constructed by joining N unit cells. The spectrum then shows a band spectrum. We then break the local periodicity by including one or more defects in the system. When the defects follow a certain definite prescription, an analog of the Wannier-Stark ladders is gotten; when the defects are random, an elastic rod showing Anderson localization is obtained. In all cases experimental values match the theoretical predictions.

• OSTI ID: 21511350
• Journal Information: AIP Conference Proceedings, Vol. 1323, Issue 1; Conference: Symposium on symmetries in nature in memoriam Marcos Moshinsky, Cuernavaca (Mexico), 7-14 Aug 2010; Other Information: DOI: 10.1063/1.3537866; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
DEFECTS
FORECASTING
OPTICAL SYSTEMS
PERIODICITY
RANDOMNESS
SPECTRA
SYMMETRY
SYMMETRY BREAKING
CALCULATION METHODS
VARIATIONS