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Phase coarsening in multicomponent systems

K. G. Wang1 and Gabriel Q. Wang2

  • 1Mechanical and Aerospace Engineering Department, Florida Institute of Technology, Melbourne, Florida 32901, USA
  • 2West Shore Senior/Junior High School, Melbourne, Florida 32935, USA

Phys. Rev. E 95, 022609 – Published 27 February, 2017

DOI: https://doi.org/10.1103/PhysRevE.95.022609

Abstract

A theory for phase coarsening in multicomponent systems is developed in which both the multicomponent thermodynamic effect and kinetic effect from a nonzero volume fraction are considered. In contrast to previous theory, a diffusion screening zone for a coarsening particle due to nonzero volume fraction is introduced. The evolution equation for phase coarsening in multicomponent systems is derived in a rigorous way in the framework of the maximum rate of dissipation with the constraints of mass and energy conservation. Existing previous relations are recovered and generalized. Some findings such as the relationship between the maximum particle size and volume fraction and particle size distribution in multicomponent systems are discovered.

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References (30)

  1. I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961).
  2. C. Wagner, Z. Elektrochem, 65, 581 (1961).
  3. K. G. Wang and M. E. Glicksman, Ostwald ripening in materials processing, Processing Handbook, edited by J. Groza et al. (CRC, Boca Raton, FL, 2007), Chap. 5.
  4. S. Björklund, L. F. Donaghey, and M. Hillert, Acta Metall. 20, 867 (1972).
  5. V. V. Slyozov and V. V. Sagalovich, Sov. Phys. Solid State 17, 974 (1975).
  6. V. V. Slyozov and V. V. Sagalovich, J. Phys. Chem. Solids 38, 943 (1977).
  7. V. V. Slyozov and V. V. Sagalovich, Sov. Phys. Usp. 30, 23 (1987).
  8. A. Umantsev and G. B. Olson, Scripta Metall. Mater. 29, 1135 (1993).
  9. J. E. Morral and G. R. Purdy, Scripta Metall. Mater. 30, 905 (1994).
  10. J. E. Morral and G. R. Purdy, J. Alloys Compd. 220, 132 (1995).
  11. P. E. J. Rivera-Diaz-del-Castillo, Scripta Mater. 47, 113 (2002).
  12. J. J Hoyt, Acta Mater. 47, 345 (1998).
  13. T. Philippe and P. W. Voorhees, Acta Mater. 61, 4237 (2013).
  14. F. D. Fischer, J. Svoboda, and P. Fratzl, Philos. Mag. 83, 1075 (2003).
  15. L. Onsager, Phys. Rev. 37, 405 (1931).
  16. L. Onsager, Phys. Rev. 38, 2265 (1931).
  17. J. Svoboda and F. D. Fischer, Acta Mater. 79, 304 (2014).
  18. O. M. Todes, J. Phys. Chem. (Sov.) 20, 629 (1946).
  19. R. W. Balluffi, S. M. Allen, and W. C. Carter, Kinetics of Materials (Wiley-Interscience, New York, 2005).
  20. K. G. Wang, Physica A 387, 3084 (2008).
  21. M. E. Glicksman, K. G. Wang, and S. P. Marsh, J. Crystal Growth 230, 318 (2001).
  22. K. G. Wang, M. E. Glicksman, and K. Rajan, Phys. Rev. E 69, 061507 (2004).
  23. B. Pletcher, K. G. Wang, and M. E. Glicksman, Int. J. Mater. Res. 103, 1289 (2012).
  24. B. Pletcher, K. G. Wang, and M. E. Glicksman, Acta Mater. 60, 5803 (2012).
  25. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (Dover, New York, 2000).
  26. J. Svoboda and I. Turek, Philos. Mag. B 64, 749 (1991).
  27. J. Svoboda, I. Turek, and F. D. Fischer, Philos. Mag. 85, 3699 (2005).
  28. R. Phillips, Crystals, Defects, and Microstructures (Cambridge University Press, Cambridge, England, 2001).
  29. W. W. Mullins, J. Appl. Phys. 59, 1341 (1986).
  30. K. G. Wang, M. E. Glicksman, and K. Rajan, Comput. Mater. Sci. 34, 235 (2005).

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