title: Different diffusive regimes, generalized Langevin and diffusion equations.
abstract: We investigate a generalized Langevin equation (GLE) in the presence of an additive noise characterized by the mixture of the usual white noise and an arbitrary one. This scenario lead us to a wide class of diffusive processes, in particular the ones whose noise correlation functions are governed by power laws, exponentials, and Mittag-Leffler functions. The results show the presence of different diffusive regimes related to the spreading of the system. In addition, we obtain a fractional diffusionlike equation from the GLE, confirming the results for long time.
authors.affiliation: Departamento de Física, Universidade Estadual de Maringá Avenida Colombo, 5790-87020-900 Maringá-PR, Brazil.
authors.forename: A A
authors.initials: AA
authors.lastname: Tateishi
authors.forename: E K
authors.initials: EK
authors.lastname: Lenzi
authors.forename: L R
authors.initials: LR
authors.lastname: da Silva
authors.forename: H V
authors.initials: HV
authors.lastname: Ribeiro
authors.forename: S
authors.initials: S
authors.lastname: Picoli
authors.forename: R S
authors.initials: RS
authors.lastname: Mendes
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D008958:Models, Molecular; D015233:Models, Statistical