Geodesic
Transition of Multidimensional Jumplike Processes from Anomalous Diffusion to Linear Diffusion
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 455-464

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We consider multidimensional “quasi-anomalous” random-walk processes having linear-diffusion asymptotic representations at large times and obeying anomalous-diffusion laws at intermediate times (but which are also sufficiently large compared with microscopic time scales). The transition of a jumplike process from anomalous diffusion to linear diffusion is demonstrated. We use numerical computation to confirm the validity of the analytic calculations for the two-and three-dimensional cases.
Mots-clés : anomalous subdiffusion, anomalous superdiffusion
Keywords: partial differential equations with fractional derivatives, intermediate asymptotic representations, quasi-anomalous random walks. 
@article{TMF_2005_143_3_a9,
     author = {A. I. Saichev and S. G. Utkin},
     title = {Transition of {Multidimensional} {Jumplike} {Processes} from {Anomalous} {Diffusion} to {Linear} {Diffusion}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {455--464},
     publisher = {mathdoc},
     volume = {143},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_143_3_a9/}
}
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A. I. Saichev; S. G. Utkin. Transition of Multidimensional Jumplike Processes from Anomalous Diffusion to Linear Diffusion. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 3, pp. 455-464. http://geodesic.mathdoc.fr/item/TMF_2005_143_3_a9/