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Article Dans Une Revue EPL - Europhysics Letters Année : 2013

Anderson localization in finite disordered vibrating rods

Résumé

We study, both experimentally and numerically, the Anderson localization phenomenon in torsional waves of a disordered elastic rod, which consists of a cylinder with randomly spaced notches. We find that the normal-mode wave amplitudes are exponentially localized as occurs in disordered solids. The localization length, measured using these wave amplitudes, decreases as a function of frequency. The normal-mode spectrum is also measured as well as computed, so its level statistics can be analyzed. From the spectrum, the nearest-neighbor spacing distribution can be obtained. This distribution can be described by a phenomenological expression that depends on a parameter a, related to the level repulsion, which is also a function of the frequency. Therefore, the localization length can be expressed in terms of the parameter a. There exists a range in which the localization length grows linearly with a. However, at low values of this parameter the linear dependence does not hold.

Dates et versions

hal-03181613 , version 1 (25-03-2021)

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J. Flores, L. Gutierrez, R. A. Mendez-Sanchez, G. Monsivais, Pierric Mora, et al.. Anderson localization in finite disordered vibrating rods. EPL - Europhysics Letters, 2013, 101, 6 p. ⟨10.1209/0295-5075/101/67002⟩. ⟨hal-03181613⟩
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