IFIBA 22255
INSTITUTO DE FISICA DE BUENOS AIRES
Unidad Ejecutora - UE
artículos
Título:
Anomalous diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise
Autor/es:
ANGEL DANIEL VIÑALES; KE GANG WANG; MARCELO DESPÓSITO
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Editorial:
American Physical Society
Referencias:
Año: 2009 vol. 80 p. 1 - 6
ISSN:
1063-651X
Resumen:
The diffusive behavior of a harmonic oscillator driven by a Mittag-Leffler noise is studied.Using Laplace analysis we derive exact expressions for the relaxation functions of the particlein 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 oscillatorcorresponds 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.
