Generalized Darken's method; from diffusional structures to nonparabolic diffusion

M. Danielewski; W. Krzyzański; R. Bachorczyk

doi:10.4028/www.scientific.net/ssp.72.141

Generalized Darken's method; from diffusional structures to nonparabolic diffusion

M. Danielewski
, W. Krzyzański
, R. Bachorczyk

Pharmaceutical Sciences

AGH University of Krakow

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

The generalized Darken method for multicomponent interdiffusion is presented. Its solution enables one to obtain an exact expression for the evolution of component distributions in closed and open systems, for arbitrary initial distributions and time dependent boundary conditions. The model allows to study the evolution of the composition of the solid solution because of its thermal treatment, evaporation and/or oxidation. Introductory commentary on some of the more current experimental and mathematically oriented results (nonparabolic diffusion) as well as the modified Navier-Stokes equation with additional diffusional terms are included.

Original language	English
Pages (from-to)	141-152
Number of pages	12
Journal	Solid State Phenomena
Volume	72
DOIs	https://doi.org/10.4028/www.scientific.net/ssp.72.141
State	Published - 2000
Event	Diffusion and Reactions - 2nd International Conference - Zakopane, Pol Duration: Sep 14 1999 → Sep 18 1999

Access to Document

10.4028/www.scientific.net/ssp.72.141

Cite this

@article{b16f2194696648aa81a7dd26dac29fb9,

title = "Generalized Darken's method; from diffusional structures to nonparabolic diffusion",

abstract = "The generalized Darken method for multicomponent interdiffusion is presented. Its solution enables one to obtain an exact expression for the evolution of component distributions in closed and open systems, for arbitrary initial distributions and time dependent boundary conditions. The model allows to study the evolution of the composition of the solid solution because of its thermal treatment, evaporation and/or oxidation. Introductory commentary on some of the more current experimental and mathematically oriented results (nonparabolic diffusion) as well as the modified Navier-Stokes equation with additional diffusional terms are included.",

author = "M. Danielewski and W. Krzyza{\'n}ski and R. Bachorczyk",

year = "2000",

doi = "10.4028/www.scientific.net/ssp.72.141",

language = "English",

volume = "72",

pages = "141--152",

journal = "Solid State Phenomena",

issn = "1012-0394",

publisher = "Trans Tech Publications Ltd",

note = "Diffusion and Reactions - 2nd International Conference ; Conference date: 14-09-1999 Through 18-09-1999",

}

TY - JOUR

T1 - Generalized Darken's method; from diffusional structures to nonparabolic diffusion

AU - Danielewski, M.

AU - Krzyzański, W.

AU - Bachorczyk, R.

PY - 2000

Y1 - 2000

N2 - The generalized Darken method for multicomponent interdiffusion is presented. Its solution enables one to obtain an exact expression for the evolution of component distributions in closed and open systems, for arbitrary initial distributions and time dependent boundary conditions. The model allows to study the evolution of the composition of the solid solution because of its thermal treatment, evaporation and/or oxidation. Introductory commentary on some of the more current experimental and mathematically oriented results (nonparabolic diffusion) as well as the modified Navier-Stokes equation with additional diffusional terms are included.

AB - The generalized Darken method for multicomponent interdiffusion is presented. Its solution enables one to obtain an exact expression for the evolution of component distributions in closed and open systems, for arbitrary initial distributions and time dependent boundary conditions. The model allows to study the evolution of the composition of the solid solution because of its thermal treatment, evaporation and/or oxidation. Introductory commentary on some of the more current experimental and mathematically oriented results (nonparabolic diffusion) as well as the modified Navier-Stokes equation with additional diffusional terms are included.

UR - https://www.scopus.com/pages/publications/0342954984

U2 - 10.4028/www.scientific.net/ssp.72.141

DO - 10.4028/www.scientific.net/ssp.72.141

M3 - Conference article

AN - SCOPUS:0342954984

SN - 1012-0394

VL - 72

SP - 141

EP - 152

JO - Solid State Phenomena

JF - Solid State Phenomena

T2 - Diffusion and Reactions - 2nd International Conference

Y2 - 14 September 1999 through 18 September 1999

ER -

Generalized Darken's method; from diffusional structures to nonparabolic diffusion

Abstract

Access to Document

Other files and links

Fingerprint

Cite this