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Viñales, A.D.; Despósito, M.A. "Anomalous diffusion induced by a Mittag-Leffler correlated noise" (2007) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 75(4)
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Abstract:

We introduce a Mittag-Leffler correlated random force leading to anomalous diffusion. Starting from a generalized Langevin equation, and using Laplace analysis we derive exact expressions for the mean values, variances and diffusion coefficient for a free particle in terms of generalized Mittag-Leffler functions and its derivatives. The asymptotic behavior of these quantities are obtained, from which the anomalous diffusion behavior of the particle is displayed. © 2007 The American Physical Society.

Registro:

Documento: Artículo
Título:Anomalous diffusion induced by a Mittag-Leffler correlated noise
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, CONICET, Buenos Aires, Argentina
Palabras clave:Diffusion; Elementary particles; Laplace equation; Nonlinear equations; Anomalous diffusion; Langevin equations; Laplace analysis; Mean values; Random processes
Año:2007
Volumen:75
Número:4
DOI: http://dx.doi.org/10.1103/PhysRevE.75.042102
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_v75_n4_p_Vinales

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Citas:

---------- APA ----------
Viñales, A.D. & Despósito, M.A. (2007) . Anomalous diffusion induced by a Mittag-Leffler correlated noise. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 75(4).
http://dx.doi.org/10.1103/PhysRevE.75.042102
---------- CHICAGO ----------
Viñales, A.D., Despósito, M.A. "Anomalous diffusion induced by a Mittag-Leffler correlated noise" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 75, no. 4 (2007).
http://dx.doi.org/10.1103/PhysRevE.75.042102
---------- MLA ----------
Viñales, A.D., Despósito, M.A. "Anomalous diffusion induced by a Mittag-Leffler correlated noise" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 75, no. 4, 2007.
http://dx.doi.org/10.1103/PhysRevE.75.042102
---------- VANCOUVER ----------
Viñales, A.D., Despósito, M.A. Anomalous diffusion induced by a Mittag-Leffler correlated noise. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2007;75(4).
http://dx.doi.org/10.1103/PhysRevE.75.042102