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  • Diffusion in solids is a well-known phenomenon that has many consequences in technology and material science. Modelling of diffusion- controlled processes requires both a reliable theory of diffusion and reliable kinetic coefficients, as well as other thermodynamic data. Often the classical Darken theory, valid for stress-free systems with ideal vacancy source and sink activity, is generalized to multicomponent systems with ideal vacancy source and sink activity. Nazarov and Gurov presented a theory for stress-free systems with no vacancy source and sink activity. Recently we published a general theory of diffusion that accounted for the role of non-ideal vacancy source and sink activity, as well as the stress state. Since diffusion theories are tested and diffusion coefficients measured usually on diffusion couples, this paper presents evolution equations based on that general theory for a diffusion couple. In the limit, the equations of the Darken theory and the Nazarov and Gurov theory are valid for ideal vacancy source and sink activity and no vacancy source and sink activity, respectively. Simulations for binary and ternary diffusion couples demonstrate the influence of the vacancy source and sink activity and the stress state on evolution of site fraction profiles of components and vacancies, and on the Kirkendall effect.
  • Diffusion in solids is a well-known phenomenon that has many consequences in technology and material science. Modelling of diffusion- controlled processes requires both a reliable theory of diffusion and reliable kinetic coefficients, as well as other thermodynamic data. Often the classical Darken theory, valid for stress-free systems with ideal vacancy source and sink activity, is generalized to multicomponent systems with ideal vacancy source and sink activity. Nazarov and Gurov presented a theory for stress-free systems with no vacancy source and sink activity. Recently we published a general theory of diffusion that accounted for the role of non-ideal vacancy source and sink activity, as well as the stress state. Since diffusion theories are tested and diffusion coefficients measured usually on diffusion couples, this paper presents evolution equations based on that general theory for a diffusion couple. In the limit, the equations of the Darken theory and the Nazarov and Gurov theory are valid for ideal vacancy source and sink activity and no vacancy source and sink activity, respectively. Simulations for binary and ternary diffusion couples demonstrate the influence of the vacancy source and sink activity and the stress state on evolution of site fraction profiles of components and vacancies, and on the Kirkendall effect. (en)
Title
  • Modelling of the Influence of Sources and Sinks for Vacancies and Stress State on Diffusion in Crystalline Solids
  • Modelling of the Influence of Sources and Sinks for Vacancies and Stress State on Diffusion in Crystalline Solids (en)
skos:prefLabel
  • Modelling of the Influence of Sources and Sinks for Vacancies and Stress State on Diffusion in Crystalline Solids
  • Modelling of the Influence of Sources and Sinks for Vacancies and Stress State on Diffusion in Crystalline Solids (en)
skos:notation
  • RIV/68081723:_____/11:00363693!RIV12-AV0-68081723
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP204/10/1784), Z(AV0Z20410507)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 213121
http://linked.open...ai/riv/idVysledku
  • RIV/68081723:_____/11:00363693
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Substitutional diffusion; Vacancies; Annihilation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [67F46C236A18]
http://linked.open...i/riv/nazevZdroje
  • Acta Materialia
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 59
http://linked.open...iv/tvurceVysledku
  • Fischer, F. D.
  • Svoboda, Jiří
http://linked.open...ain/vavai/riv/wos
  • 000286690100036
http://linked.open...n/vavai/riv/zamer
issn
  • 1359-6454
number of pages
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