Anomalous transport in disordered systems under the influence of external fields

Ralf Metzler, Eli Barkai and Joseph Klafter

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 343-350

Abstract: We discuss two models for the description of anomalous diffusion, these being the continuous time random walk scheme, and fractional diffusion equations. We show their interrelations, and combine both approaches for the description of anomalous transport in constant external velocity and force fields. For an arbitrary external force F(x), we introduce a fractional Fokker–Planck equation, which generalises the two Einstein relations.

Keywords: Fractional diffusion equations; Anomalous diffusion (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:343-350

DOI: 10.1016/S0378-4371(98)00614-1

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