Relaxation to stationary states for anomalous diffusion. Dybiec, B., Sokolov, I., & Chechkin, A. Communications in Nonlinear Science and Numerical Simulation, 2011.
doi  abstract   bibtex   
The fractional Fokker-Planck-Smoluchowski equation serves as a standard description of the anomalous diffusion. Within a current presentation we study properties of stationary states of the fractional Fokker-Planck-Smoluchowski equation in bounding potentials with special attention to the way in which stationary states are approached. It is demonstrated that the shape of the stationary state depends on exponents characterizing the jump length distributions and the external potential. The convergence rate to the stationary state can be of the double power-law type and is determined solely by the subdiffusion parameter. © 2011 Elsevier B.V.
@article{
 title = {Relaxation to stationary states for anomalous diffusion},
 type = {article},
 year = {2011},
 keywords = {Anomalous diffusion,Continuous time random walks,Fractional Fokker-Planck-Smoluchowski equation,Stochastic representation,Subordination},
 volume = {16},
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 abstract = {The fractional Fokker-Planck-Smoluchowski equation serves as a standard description of the anomalous diffusion. Within a current presentation we study properties of stationary states of the fractional Fokker-Planck-Smoluchowski equation in bounding potentials with special attention to the way in which stationary states are approached. It is demonstrated that the shape of the stationary state depends on exponents characterizing the jump length distributions and the external potential. The convergence rate to the stationary state can be of the double power-law type and is determined solely by the subdiffusion parameter. © 2011 Elsevier B.V.},
 bibtype = {article},
 author = {Dybiec, B. and Sokolov, I.M. and Chechkin, A.V.},
 doi = {10.1016/j.cnsns.2011.05.011},
 journal = {Communications in Nonlinear Science and Numerical Simulation},
 number = {12}
}

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