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• W1604824680 abstract "We study the similarities and differences between different models concerning subdiffusion. More particularly, we calculate first passage time (FPT) distributions for subdiffusion, derived from Greens' functions of nonlinear equations obtained from Sharma-Mittal's, Tsallis's and Gauss's nonadditive entropies. Then we compare these with FPT distributions calculated from a fractional model using a subdiffusion equation with a fractional time derivative. All of Greens' functions give us exactly the same standard relation $<(Delta x)^2> =2 D_alpha t^alpha$ which characterizes subdiffusion ($0<alpha<1$), but generally FPT's are not equivalent to one another. We will show here that the FPT distribution for the fractional model is asymptotically equal to the Sharma--Mittal model over the long time limit only if in the latter case one of the three parameters describing Sharma--Mittal entropy $r$ depends on $alpha$, and satisfies the specific equation derived in this paper, whereas the other two models mentioned above give different FTPs with the fractional model. Greens' functions obtained from the Sharma-Mittal and fractional models - for $r$ obtained from this particular equation - are very similar to each other. We will also discuss the interpretation of subdiffusion models based on nonadditive entropies and the possibilities of experimental measurement of subdiffusion models parameters." @default.
• W1604824680 created "2016-06-24" @default.
• W1604824680 creator A5046400120 @default.
• W1604824680 creator A5049562011 @default.
• W1604824680 date "2012-08-10" @default.
• W1604824680 modified "2023-09-27" @default.
• W1604824680 title "First-passage time for subdiffusion: The nonadditive entropy approach versus the fractional model" @default.
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• W1604824680 doi "https://doi.org/10.1103/physreve.86.021108" @default.
• W1604824680 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23005724" @default.
• W1604824680 hasPublicationYear "2012" @default.
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