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

被引：34
|
作者：
Camargo, R. Figueiredo [1 ]
de Oliveira, E. Capelas [2 ]
Vaz, J., Jr. [2 ]
机构：
[1] Univ Estadual Paulista, Dept Matemat, Fac Ciencias, BR-17033360 Sao Paulo, Brazil
[2] Univ Estadual Campinas, IMECC, BR-13081970 Campinas, SP, Brazil
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 12期
关键词：
diffusion; harmonic oscillators; Laplace transforms; DYNAMICS; TRANSPORT; SYSTEMS;
D O I：
10.1063/1.3269587
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：13
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