Title of article
Generalized Einstein relation and the Metzler–Klafter conjecture in a composite-subdiffusive regime
Author/Authors
Hua، نويسنده , , Pan and Qiu، نويسنده , , Wei-Yuan and Ren، نويسنده , , Fu-Yao and Lv، نويسنده , , Long-Jin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
6
From page
2920
To page
2925
Abstract
In this paper, a generalized diffusion model driven by the composite-subdiffusive fractional Brownian motion (FBM) is employed. Based on this stochastic process, we derive a fractional Fokker–Planck equation (FFPE) and obtain its solution. It is proved that the Generalized Einstein Relation (GER) and the Metzler and Klafter conjecture on the asymptotic behavior of stretched Gaussian hold the FFPE in a composite-subdiffusive regime.
Keywords
Fractional Brownian motion , Generalized Einstein relation (GER) , Fractional Fokker–Plank equation (FFPE) , asymptotic behavior
Journal title
Physica A Statistical Mechanics and its Applications
Serial Year
2011
Journal title
Physica A Statistical Mechanics and its Applications
Record number
1734686
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