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Viñales, A.D.; Wang, K.G.; Despósito, M.A. "Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise" (2009) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 80(1)
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Abstract:

The diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise is studied. Using the Laplace analysis we derive exact expressions for the relaxation functions of the particle in terms of generalized Mittag-Leffler functions and its derivatives from a generalized Langevin equation. Our results show that the oscillator displays an anomalous diffusive behavior. In the strictly asymptotic limit, the dynamics of the harmonic oscillator corresponds to an oscillator driven by a noise with a pure power-law autocorrelation function. However, at short and intermediate times the dynamics has qualitative difference due to the presence of the characteristic time of the noise. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
Autor:Viñales, A.D.; Wang, K.G.; Despósito, M.A.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Department of Physics and Space Science, Florida Institute of Technology, Melbourne, FL 32901-6975, United States
Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, Argentina
Palabras clave:Asymptotic limits; Autocorrelation functions; Characteristic time; Diffusive behavior; Generalized Langevin equation; Harmonic oscillators; Mittag-Leffler functions; Power-law; Qualitative differences; Relaxation functions; Harmonic analysis; Laplace equation; Oscillators (mechanical); Regression analysis; Oscillators (electronic)
Año:2009
Volumen:80
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevE.80.011101
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n1_p_Vinales

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Citas:

---------- APA ----------
Viñales, A.D., Wang, K.G. & Despósito, M.A. (2009) . Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(1).
http://dx.doi.org/10.1103/PhysRevE.80.011101
---------- CHICAGO ----------
Viñales, A.D., Wang, K.G., Despósito, M.A. "Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 1 (2009).
http://dx.doi.org/10.1103/PhysRevE.80.011101
---------- MLA ----------
Viñales, A.D., Wang, K.G., Despósito, M.A. "Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 1, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.011101
---------- VANCOUVER ----------
Viñales, A.D., Wang, K.G., Despósito, M.A. Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(1).
http://dx.doi.org/10.1103/PhysRevE.80.011101