Thermodynamically consistent bi-velocity mass transport phenomenology

Acta Materialia

Volumn 58, Issue 20, 2010, Pages 6717-6727

  Danielewski, Marek ^a   Wierzba, Bartek ^a  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

Author keywords

Diffusion multiple; Interdiffusion; Linear irreversible thermodynamics; Mechanochemistry; Volume continuity equation

Indexed keywords

ADVANCED MODELING; CONTINUITY EQUATIONS; ENERGY FLUXES; ENTROPY PRODUCTION; FRAME OF REFERENCE; INTERDIFFUSION; IRREVERSIBLE THERMODYNAMICS; MASS TRANSPORT; MECHANO-CHEMISTRY; MECHANOCHEMICALS; MULTICOMPONENT MATERIALS; SECOND LAWS OF THERMODYNAMICS;

DIFFERENTIAL EQUATIONS; DIFFUSION; ENTROPY; FLUXES;

THERMODYNAMICS;

EID: 77957992563     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2010.08.037     Document Type: Article

References (31)

1. L.S. Darken Trans AIME 174 1948 184
2. L. Onsager Phys Rev 38 1931 2265
3. R.W. Balluffi, S.M. Allen, W.C. Carter, and R.A. Kemper Kinetics of materials 2005 Wiley Hoboken (NJ)
4. O. Kirkendall Trans AIME 147 1942 104
5. H. Brenner Physica A 388 2009 3391
6. H. Brenner Physica A 370 2006 190
7. J.R. Bielenberg, and H. Brenner Physica A 356 2005 279
8. Y. Liang, R.M. Richter, and L. Chamberlin Geochim Cosmochim Acta 61 1997 5295
9. H.C. Öttinger Beyond equilibrium thermodynamics 2005 Wiley Hoboken (NJ)
10. S.R. De Groot, and P. Mazur Non-equilibrium thermodynamics 1962 North-Holland Amsterdam
11. G.D.C. Kuiken Thermodynamics of irreversible processes: applications to diffusion and rheology 1994 Wiley New York
12. HCh Öttinger, H. Struchtrup, and M. Liu Phys Rev E: Stat Nonlin Soft Matter Phys 80 2009 56303
13. J. Svoboda Acta Mater 56 2008 351
14. J. Svoboda, and F.D. Fischer Acta Mater 57 2009 4649
15. F.D. Fischer, and J. Svoboda Acta Mater 58 2010 2698
16. K. Holly, and M. Danielewski Phys Rev B: Condens Matter Mater Phys 50 1994 13336
17. G.B. Stephenson Acta Metall Mater 36 1988 2663
18. M. Danielewski, K. Holly, and W. Krzyański Comput Methods Mater Sci 8 2008 31
19. R.W. Balluffi Acta Metall 8 1960 871
20. Spalding DB. A method for computing steady and unsteady flows possessing discontinuities of density. Report 910/2, CHAM Ltd., London; 1974.
21. V. Artemov, S.B. Beale, G. de Vahl Davis, M.P. Escudier, N. Fueyo, and B.E. Launder Int J Heat Mass Transf 52 2009 3884
22. M. Danielewski, and B. Wierzba Physica A 387 2008 745
23. M. Danielewski, and B. Wierzba J Phase Equilib Diffus 26 2005 573
24. M. Danielewski, and B. Wierzba Philos Mag 89 2009 331
25. W. Nernst Z Phys Chem (NF) 4 1889 129
26. M. Planck Annu Rev Phys Chem 40 1890 561
27. A. Quarteroni, R. Sacco, and F. Saleri Numerical mathematics 2000 Springer New York
28. Lide DR. Handbook of chemistry and physics, 79th ed. Cleveland (OH): CRC Press, 1998-1999.
29. D.B. Aubertine, N. Ozguven, and P.C. McIntyre J Appl Phys 94 2003 1557
30. S.M. Prokes, M. Fatemi, and K.L. Wang J Vac Sci Technol B: Microelectron Nanometer Struct Process Meas Phenom 8 1990 254
31. D.L. Beke, P. Nemes, Z. Erdelyi, I.A. Szabó, and D.G. Langer Mater Res Soc Symp Proc 527 1998 99