Abstract:
We study the effect of a disordered or fractal environment in the irreversible dynamics of a harmonic oscillator. Starting from a generalized Langevin equation and using Laplace analysis, we derive exact expressions for the mean values, variances, and velocity autocorrelation function of the particle in terms of generalized Mittag-Leffler functions. The long-time behaviors of these quantities are obtained and the presence of a whip-back effect is analyzed. © 2006 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle |
Autor: | Viñales, A.D.; Despósito, M.A. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina
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Palabras clave: | Fractals; Functions; Heavy ions; Laplace transforms; Oscillators (electronic); Harmonic oscillator; Irreversible dynamics; Laplace analysis; Diffusion |
Año: | 2006
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Volumen: | 73
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Número: | 1
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.73.016111 |
Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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Título revista abreviado: | Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
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ISSN: | 15393755
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CODEN: | PLEEE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v73_n1_p_Vinales |
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Citas:
---------- APA ----------
Viñales, A.D. & Despósito, M.A.
(2006)
. Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 73(1).
http://dx.doi.org/10.1103/PhysRevE.73.016111---------- CHICAGO ----------
Viñales, A.D., Despósito, M.A.
"Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 73, no. 1
(2006).
http://dx.doi.org/10.1103/PhysRevE.73.016111---------- MLA ----------
Viñales, A.D., Despósito, M.A.
"Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 73, no. 1, 2006.
http://dx.doi.org/10.1103/PhysRevE.73.016111---------- VANCOUVER ----------
Viñales, A.D., Despósito, M.A. Anomalous diffusion: Exact solution of the generalized Langevin equation for harmonically bounded particle. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2006;73(1).
http://dx.doi.org/10.1103/PhysRevE.73.016111