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

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

Otro

Registro en:

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

0022-2488

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

10.1063/1.3269587

WOS:000273223900043

WOS000273223900043.pdf

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

http://repositorioslatinoamericanos.uchile.cl/handle/2250/856950

Autor

Camargo, Rubens de Figueiredo

de Oliveira, E. Capelas

Vaz, J.

Institución

Universidade Paulista Júlio de Mesquita Filho (Brasil)

Resumen

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.

Materias

diffusion

harmonic oscillators

Laplace transforms

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