title: Anomalous diffusion induced by a Mittag-Leffler correlated noise.
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.
authors.affiliation: Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina. dvinales@df.uba.ar
authors.forename: A D
authors.initials: AD
authors.lastname: Viñales
authors.forename: M A
authors.initials: MA
authors.lastname: Despósito