Competition between Kirkendall and Frenkel effects during multicomponent interdiffusion process

In this work the competition between Kirkendall effect caused by intrinsic diffusion coefficients and vacancy generation and evolution is discussed. The proposed approach is based on the bi-velocity (Darken) approach which combines the Darken and Brenner concepts that the volume velocity is essentia...

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Published in:	Physica A Vol. 403; pp. 29 - 34
Main Author:	Wierzba, Bartek
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01-06-2014
Subjects:	Competition Diffusion coefficient Evolution Frenkel effect Interdiffusion Kirkendall effect Statistical mechanics Vacancies Voids Voids Kirkendall effect Interdiffusion Vacancies Frenkel effect
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Abstract	In this work the competition between Kirkendall effect caused by intrinsic diffusion coefficients and vacancy generation and evolution is discussed. The proposed approach is based on the bi-velocity (Darken) approach which combines the Darken and Brenner concepts that the volume velocity is essential in defining the local material velocity at non-equilibrium. The model is formulated for arbitrary systems however for discussion only the binary system is presented. The distributions of (1) components, (2) vacancy and (3) voids radius over the distance are presented. •Competition between Kirkendall and Frenkel effects is discussed.•Approach is based on the bi-velocity (Darken) approach.•The distributions of components, vacancy and voids radius are presented.
AbstractList	In this work the competition between Kirkendall effect caused by intrinsic diffusion coefficients and vacancy generation and evolution is discussed. The proposed approach is based on the bi-velocity (Darken) approach which combines the Darken and Brenner concepts that the volume velocity is essential in defining the local material velocity at non-equilibrium. The model is formulated for arbitrary systems however for discussion only the binary system is presented. The distributions of (1) components, (2) vacancy and (3) voids radius over the distance are presented. In this work the competition between Kirkendall effect caused by intrinsic diffusion coefficients and vacancy generation and evolution is discussed. The proposed approach is based on the bi-velocity (Darken) approach which combines the Darken and Brenner concepts that the volume velocity is essential in defining the local material velocity at non-equilibrium. The model is formulated for arbitrary systems however for discussion only the binary system is presented. The distributions of (1) components, (2) vacancy and (3) voids radius over the distance are presented. •Competition between Kirkendall and Frenkel effects is discussed.•Approach is based on the bi-velocity (Darken) approach.•The distributions of components, vacancy and voids radius are presented.
Author	Wierzba, Bartek
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Cites_doi	10.1103/PhysRevLett.86.3352 10.1002/andp.18902760802 10.1515/zpch-1889-0412 10.1016/j.physa.2011.07.051 10.1080/14786435.2011.573818
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References	van Dal, Gusak, Cserháti, Kodentsov, van Loo (br000015) 2001; 86 Gusak, Zaporozhets (br000020) 2009; 21 Darken (br000010) 1948; 174 Wierzba (br000060) 2012; 391 Smigelskas, Kirkendall (br000005) 1947; 171 Tu (br000030) 2011 Gusak (br000040) 2010 Tu (br000025) 2007 Nernst (br000045) 1889; 4 Planck (br000050) 1890; 40 Wierzba, Danielewski (br000055) 2011; 91 Storozhuk (br000035) 2012; 229 Wierzba (10.1016/j.physa.2014.02.014_br000060) 2012; 391 Nernst (10.1016/j.physa.2014.02.014_br000045) 1889; 4 Gusak (10.1016/j.physa.2014.02.014_br000020) 2009; 21 Storozhuk (10.1016/j.physa.2014.02.014_br000035) 2012; 229 Planck (10.1016/j.physa.2014.02.014_br000050) 1890; 40 Wierzba (10.1016/j.physa.2014.02.014_br000055) 2011; 91 Smigelskas (10.1016/j.physa.2014.02.014_br000005) 1947; 171 van Dal (10.1016/j.physa.2014.02.014_br000015) 2001; 86 Tu (10.1016/j.physa.2014.02.014_br000025) 2007 Gusak (10.1016/j.physa.2014.02.014_br000040) 2010 Darken (10.1016/j.physa.2014.02.014_br000010) 1948; 174 Tu (10.1016/j.physa.2014.02.014_br000030) 2011
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SubjectTerms	Competition Diffusion coefficient Evolution Frenkel effect Interdiffusion Kirkendall effect Statistical mechanics Vacancies Voids
Title	Competition between Kirkendall and Frenkel effects during multicomponent interdiffusion process
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