On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator

Camargo, Rubens de Figueiredo; de Oliveira, E. Capelas; Vaz, J.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/8610

Title:

On anomalous diffusion and the fractional generalized Langevin equation for a harmonic oscillator

Author(s):

Institution:

Universidade Estadual Paulista (UNESP)
Universidade Estadual de Campinas (UNICAMP)

ISSN:

0022-2488

Abstract:

The fractional generalized Langevin equation (FGLE) is proposed to discuss the anomalous diffusive behavior of a harmonic oscillator driven by a two-parameter Mittag-Leffler noise. The solution of this FGLE is discussed by means of the Laplace transform methodology and the kernels are presented in terms of the three-parameter Mittag-Leffler functions. Recent results associated with a generalized Langevin equation are recovered.

Issue Date:

1-Dec-2009

Citation:

Journal of Mathematical Physics. Melville: Amer Inst Physics, v. 50, n. 12, p. 13, 2009.

Time Duration:

13

Publisher:

American Institute of Physics (AIP)

Keywords:

diffusion
harmonic oscillators
Laplace transforms

Source:

http://dx.doi.org/10.1063/1.3269587

URI:

http://hdl.handle.net/11449/8610

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/8610

Artigos, TCCs, Teses e Dissertações da Unesp

There are no files associated with this item.

Show full item record View Statistics