Anomalous diffusion in silo drainage

Details Anomalous diffusion in silo drainage Anomalous diffusion in silo drainage

2006-07-14

arxiv.org/abs/cond-mat/0607365v2

Physics

Condensed Matter

Statistical Mechanics

18 pages, 6 figures. Substantially enlarged with new results. Accepted for EPJ-E

Scientific paper

10.1140/epje/i2006-10174-1

The silo discharge process is studied by molecular dynamics simulations. The development of the velocity profile and the probability density function for the displacements in the horizontal and vertical axis are obtained. The PDFs obtained at the beginning of the discharge reveal non-Gaussian statistics and superdiffusive behaviors. When the stationary flow is developed, the PDFs at shorter temporal scales are non-Gaussian too. For big orifices a well defined transition between ballistic and diffusive regime is observed. In the case of a small outlet orifice, no well defined transition is observed. We use a nonlinear diffusion equation introduced in the framework of non-extensive thermodynamics in order to describe the movements of the grains. The solution of this equation gives a well defined relationship ($\gamma = 2/(3-q)$) between the anomalous diffusion exponent $\gamma$ and the entropic parameter $q$ introduced by the non-extensive formalism to fit the PDF of the fluctuations.

Affiliated with

Also associated with

No associations

Rating

Anomalous diffusion in silo drainage 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 Anomalous diffusion in silo drainage, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anomalous diffusion in silo drainage will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96942