Generalized Einstein relation and the Metzler–Klafter conjecture in a composite-subdiffusive regime

Pan Hua, Wei-Yuan Qiu, Fu-Yao Ren and Long-Jin Lv

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 16, 2920-2925

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; Fractional Fokker–Plank equation (FFPE); Generalized Einstein relation (GER); Asymptotic behavior (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437111002470
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:16:p:2920-2925

DOI: 10.1016/j.physa.2011.03.034

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().