DocumentCode
2903760
Title
A model of diffusion, based on the equation of the Jeffreys type
Author
Rukolaine, Sergey A. ; Samsonov, A.M.
Author_Institution
Ioffe Phys. Tech. Inst., St. Petersburg, Russia
fYear
2013
fDate
27-31 May 2013
Firstpage
125
Lastpage
130
Abstract
The diffusion equation (DE) is widely used for approximate description of non-anomalous diffusion and Brownian motion (BM). However, the DE is wrong in describing the mean-square displacement (MSD) of a particle at small values of time, where the MSD must be ballistic. We consider the equation of the Jeffreys type as a model equation for description of diffusion. We find that the MSD in the framework of this model is the same as that in the BM described by the standard Langevin equation.
Keywords
Brownian motion; diffusion; partial differential equations; Brownian motion; Jeffreys-type equation; Langevin equation; diffusion equation; diffusion model; mean-square displacement; model equation; nonanomalous diffusion; Artificial intelligence; Diffraction; Equations; Fluids; Gold; Mathematical model; Stochastic processes;
fLanguage
English
Publisher
ieee
Conference_Titel
Days on Diffraction (DD), 2013
Conference_Location
St. Petersburg
Print_ISBN
978-1-4799-1037-3
Type
conf
DOI
10.1109/DD.2013.6712816
Filename
6712816
Link To Document