A theory of diffusion in the ordered alloy III. Chemical diffusion

1996 ◽  
Vol 73 (6) ◽  
pp. 1699-1713 ◽  
Author(s):  
I. V. Belova ◽  
G. E. Murch
Keyword(s):  
2003 ◽  
Vol 91 (7-8-9) ◽  
pp. 87-91
Author(s):  
P. Dawah Tankeu ◽  
A. Gruzdeva ◽  
M. Zapukhlyak ◽  
L. Doerrer ◽  
K. Goemann ◽  
...  

2020 ◽  
Vol 18 (1) ◽  
pp. 1895-1914
Author(s):  
Linlin Meng ◽  
Wen-Qing Xu ◽  
Shu Wang

Abstract We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate approximate solution which incorporates the effects of boundary layers and then use the classical energy estimates to prove the structural stability of the approximate solution as the chemical diffusion coefficient tends to zero.


2012 ◽  
Vol 88 ◽  
pp. 1-18 ◽  
Author(s):  
Rahul Chopra ◽  
Frank M. Richter ◽  
E. Bruce Watson ◽  
Christian R. Scullard

2004 ◽  
Vol 241 (1) ◽  
pp. 114-119 ◽  
Author(s):  
M. Kh. Balapanov ◽  
I. G. Gafurov ◽  
U. Kh. Mukhamed'yanov ◽  
R. A. Yakshibaev ◽  
R. Kh. Ishembetov

2013 ◽  
Vol 15 (8) ◽  
pp. 2983 ◽  
Author(s):  
Evan Abramson ◽  
Dan Imre ◽  
Josef Beránek ◽  
Jacqueline Wilson ◽  
Alla Zelenyuk

2009 ◽  
Vol 289-292 ◽  
pp. 705-710 ◽  
Author(s):  
Axel Griesche ◽  
Bo Zhang ◽  
Jürgen Horbach ◽  
Andreas Meyer

We make use of a novel X-ray radiography method to measure chemical diffusion in capillaries in binary Al-Ni melts. Data are compared to self diffusion coefficients of Ni obtained by quasielastic neutron scattering as well as diffusion and thermodynamic data obtained by molecular dynamic simulations. Interdiffusion compared to self diffusion is enhanced with a maximum at Al40Ni60. We show that this enhancement is caused by thermodynamic forces as described by the Darken-Manning equation. In liquid Al-Ni alloys the Manning factor that is smaller than one can be attributed to collective cross correlations.


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