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
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;
Conference_Titel :
Days on Diffraction (DD), 2013
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-1037-3
DOI :
10.1109/DD.2013.6712816
