First passage time for subdiffusion: Nonextensive entropy approach versus fractional model

Details First passage time for subdiffusion: Nonextensive entropy approach versus fractional model First passage time for subdiffusion: Nonextensive entropy approach versus fractional model

2010-08-09

arxiv.org/abs/1008.1477v2

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8 figures

Scientific paper

We study the similarities and differences between different models concerning subdiffusion. More particularly, we calculate first passage time (FPT) distributions for subdiffusion, derived from Green's functions of nonlinear equations obtained from Sharma--Mittal's, Tsallis's and Gauss's nonextensive entropies. Then we compare these with FPT distributions calculated from a fractional model using a subdiffusion equation with a fractional time derivative. All of Green's functions give us exactly the same standard relation $\left\langle (\Delta x)^2\right\rangle =D_\alpha t^\alpha$ which defines subdiffusion ($0<\alpha<1$), but generally FPT's are not the equivalent of to one another. We will show here that the FPT distribution for the fractional model is equal to the Sharma--Mittal model only if in the latter $r$ 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. Green's 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 nonextensive entropies and the possibilities of experimental measurement of the subdiffusion models parameters.

Affiliated with

Also associated with

No associations

Rating

First passage time for subdiffusion: Nonextensive entropy approach versus fractional model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with First passage time for subdiffusion: Nonextensive entropy approach versus fractional model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and First passage time for subdiffusion: Nonextensive entropy approach versus fractional model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83557