Paper Title:
A Mathematical Formulation for Interfacial Diffusion, Incorporating Deviation from the Classical Random Walk Theory
  Abstract

Fisher’s model for grain boundary diffusion considers the lattice and the grain boundary on the same basis by presuming the validity of Fick’s second law for both cases, despite the significant structural differences between them. Recent studies [1-3] have, however, shown that grain boundary diffusion is profoundly different from lattice diffusion. We propose an alternative mathematical formulation that incorporates these structural differences and consequently models grain boundary diffusion phenomena more accurately than Fisher’s model. This is achieved by considering possible deviations from the classical random walk for solute atoms diffusing through grain boundaries. This formalism can also be applied to surface diffusion and triple junction diffusion.

  Info
Periodical
Edited by
Y.H. Sohn, C. Campbell, D. Lewis and A. Lupulescu
Pages
63-71
DOI
10.4028/www.scientific.net/DDF.266.63
Citation
N.S. Raghavan, A.H. King, "A Mathematical Formulation for Interfacial Diffusion, Incorporating Deviation from the Classical Random Walk Theory", Defect and Diffusion Forum, Vol. 266, pp. 63-71, 2007
Online since
September 2007
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Vladimir V. Popov
Abstract:Possibilities of grain-boundary diffusion and segregation studies using nuclear gammaresonance spectroscopy (NGR) are considered. It is...
497
Authors: Irina V. Belova, Graeme E. Murch
Abstract:In this paper, we show how lattice–based random walks of virtual particles directed by Monte Carlo methods (Lattice Monte Carlo) can be used...
1
Authors: Boris A. Gizhevskii, Anatoly Yakovlevich Fishman, E.A. Kozlov, Tatiana Eugenievna Kurennykh, S.A. Petrova, I.Sh. Trakhtenberg, Vladimir Borisovich Vykhodets, V.B. Vykhodets, Robert Grigorievich Zakharov
Abstract:The kinetics of the isotope exchange between gaseous oxygen enriched with the 18O isotope and two LaMnO3+δ oxide samples – a nanopowder and...
233
Authors: Sergiy V. Divinski, Boris S. Bokstein
Abstract:Some unresolved problems of grain boundary diffusion – restrictions of Fisher-Gibbs model, refinement of the conditions for B- and C-regimes,...
1
Authors: Alain Portavoce, Ivan Blum, Lee Chow, Jean Bernardini, Dominique Mangelinck
Abstract:The measurement of diffusion coefficients in today’s materials is complicated by the down scaling of the studied structures (nanometric...
63