Stress-assisted diffusion and the modified Fick law

• Autorzy: Piekarski S.
• Języki publikacji: EN

Abstrakty

EN

It can be observed that the equation for "stress-assisted diffusion" applied by Shewmon (P.G. Shewmon, Diffusion in solids, McGraw-Hill, 1963) is simply the Einstein-Smoluchowski equation. In turn, for a constant temperature field, the modified Fick law (introduced in: S. Piekarski, On the modified Fick law and its potential applications, J. Tech. Phys., 44, 2, 125-131, 2003) reduces to the Einstein-Smoluchowski equation. Therefore, the solutions of the modified Fick law can be adopted to the problems considered by Shewmon. In this paper, the problems of diffusion and thermodiffusion in the strain fields of dislocations (screw and edge) are considered and new solutions are briefly discussed.

Słowa kluczowe

EN

Fick law; diffusion; stress-assisted diffusion; dislocations

PL

prawo Ficka; dyfuzja; dyfuzja w obecności napięcia; dyslokacja

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Journal of Technical Physics
• Rocznik: 2005
• Tom: Vol. 46, no 1
• Strony: 3--7
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Piekarski S.

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland

Bibliografia

• 1. P.G. SHEWMON, Diffusion in solids, McGraw-Hill, 1963.
• 2. S. PIEKARSKI, On the modified Fick law and its potential applications, J. Tech. Phys., 44, 2, 125-131, 2003.
• 3. S. PIEKARSKI, On diffusion and thermodiffusion in a gravity field, J. Tech. Phys., 44, 3, 329-337, 2003.
• 4. S. PIEKARSKI, On the experimental confirmation of the modified Fick law, in preparation.
• 5. R. WOJNAR, On nonlinear heat equations and diffusion in porous media, Rep. on Math. Phys., 44, 1/2, 2000.
• 6. R. WOJNAR, Nonlinear heat equation and thermodiffusion, Rep. on Math. Phys., 46, 1/2, 2000.
• 7. K. HUANG, Statistical physics, John Wiley & Sons, New York 1963.
• 8. S.J. FARLOW, Partial differential equations for scientists and enginneers, John Wiley &; Sons, 1982.
• 9. T.O. ORGUTANI, M.R. GUNGOR, E.E. OREN, Simulation of dislocation damping spectra associated with the collective motion of point defects and kink chain subjected to bulk segregation, J. Appl. Phys., 91, 4, 1860-1870, 2002.
• 10. S. MROVEC, Defects and diffusion in solids. An introduction, Elsevier, Material Science Monographs, Amsterdam 1980.
• 11. S. MROVEC, Diffusion theory in solid state [in Polish], PWN, Warszawa 1989.