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Abstract:

We consider a particle immersed in a thermal reservoir and simultaneously subjected to an external random force that drives the system to a nonequilibrium situation. Starting from a Langevin equation description, we derive exact expressions for the mean-square displacement and the velocity autocorrelation function of the diffusing particle. An effective temperature is introduced to characterize the deviation from the internal equilibrium situation. Using a power-law force autocorrelation function, the mean-square displacement and the velocity autocorrelation function are analytically obtained in terms of Mittag-Leffler functions. In this case, we show that the present model exhibits a superdiffusive regime as a consequence of the competition between passive and active processes. © 2011 American Physical Society.

Registro:

Documento: Artículo
Título:Superdiffusion induced by a long-correlated external random force
Autor:Despósito, M.A.
Filiación:Departamento de Física e Instituto de Física de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, ES-1428 Buenos Aires, Argentina
Palabras clave:Active process; Autocorrelation functions; Diffusing particles; Effective temperature; Internal equilibrium; Langevin equation; Mean-square displacement; Mittag-Leffler functions; Non equilibrium; Power-law; Superdiffusion; Superdiffusive regimes; Thermal reservoir; Velocity autocorrelation functions; Autocorrelation; Differential equations; Kinetic theory of gases; Regression analysis
Año:2011
Volumen:84
Número:6
DOI: http://dx.doi.org/10.1103/PhysRevE.84.061114
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_v84_n6_p_Desposito

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Citas:

---------- APA ----------
(2011) . Superdiffusion induced by a long-correlated external random force. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 84(6).
http://dx.doi.org/10.1103/PhysRevE.84.061114
---------- CHICAGO ----------
Despósito, M.A. "Superdiffusion induced by a long-correlated external random force" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 84, no. 6 (2011).
http://dx.doi.org/10.1103/PhysRevE.84.061114
---------- MLA ----------
Despósito, M.A. "Superdiffusion induced by a long-correlated external random force" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 84, no. 6, 2011.
http://dx.doi.org/10.1103/PhysRevE.84.061114
---------- VANCOUVER ----------
Despósito, M.A. Superdiffusion induced by a long-correlated external random force. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2011;84(6).
http://dx.doi.org/10.1103/PhysRevE.84.061114