Motion by curvature and impurity drag: resolution of a mobility paradox

Acta Materialia

Volumn 48, Issue 13, 2000, Pages 3425-3440

  Cahn, J W ^a   Novick Cohen, A ^b  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORPTION; ALLOYS; DIFFUSION IN SOLIDS; INTERFACES (MATERIALS); INTERFACIAL ENERGY; KINETIC THEORY; NUMERICAL METHODS; PHASE TRANSITIONS; SURFACES; THERMAL EFFECTS; VELOCITY; WETTING;

ALLEN-CAHN EQUATION; ANTIPHASE DOMAIN BOUNDARY; INTERFACE MOTION;

DRAG;

EID: 0034246129     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-6454(00)00144-0     Document Type: Article

References (39)

1. Cahn J.W., Allen S.M. J. Phys. 38:1977;C7-51.
2. Allen S.M., Cahn J.W. Acta metall. 27:1979;1085.
3. Turnbull D. Trans. AIME. 191:1951;661.
4. Cahn, J. W. and Taylor, J. E., in Mathematics of Microstructure Evolution, ed. L. Q. Chen et al. SIAM/TMS, Cleveland, OH, 1966, p. 149.
5. Swan P.R., Duff W.R., Fisher R.M. Trans. AIME. 245:1969;851.
6. Widom B. Phys. Rev. Lett. 34:1975;999.
7. Allen S.M., Cahn J.W. Acta metall. 24:1976;425.
8. Krzanowski J.E., Allen S.M. Acta metall. 34:1986;1035.
9. Krzanowski J.E., Allen S.M. Acta metall. 34:1986;1045.
10. L'Oiseau A. Curr. Opin. Solid State Mater. Sci. 1:1996;369.
11. Cahn, J. W. and Novick-Cohen, A., in Free Boundary Problems, Theory and Applications, Proceedings of the Zakopane Congress '95, ed. M. Niezgodka and I. Strzelecki. Addison Wessley Longman, 1996, p. 89.
12. Novick-Cohen A. Triple junction motion for an Allen/Cahn-Hilliard system. Physica D. 137:2000;1.
13. Umantsev A. Acta mater. 46:1988;4935.
14. Fife P.C., Lacey A.A. J. Stat. Phys. 77:1994;173.
15. Cahn J.W. Acta metall. 10:1962;789.
16. Roy A., Bauer C.L. Acta metall. 23:1975;957.
17. Cahn J.W., Novick-Cohen A. J. Stat. Phys. 76:1994;877.
18. Taylor J.E., Cahn J.W. J. Stat. Phys. 77:1994;183.
19. Carter W.C., Taylor J.E., Cahn J.W. JOM. 49:(12):1997;30.
20. Chen L.-Q. Modern Phys. Lett. B7:1993;1857.
21. Chen L.-Q., Khachaturyan A.G. Acta metall. mater. 39:1991;2533.
22. Cahn J.W., Chow S.-N., Van Vleck E.S. Rocky Mountain J. Math. 25:1995;87.
23. Eguchi, T. and Ninomiya, H., in Dynamics of Ordering Processes in Condensed Matter, ed. S. Komura and H. Furukawa. Plenum Press, New York, 1988, p. 151.
24. Brochet D., Hilhorst D., Novick-Cohen A. Appl. Math. Lett. 7:1994;83.
25. Dal, Passo R., Giacomelli L., Novick-Cohen A. Interfaces and Free Boundaries. 1:1999;199.
26. Rubinstein J., Sternberg P., Keller J. SIAM Appl. Math. 49:1989;116.
27. Pego R.L. Proc. Roy. Soc. London. A422:1989;261.
28. Stoth B. J. Diff. Eqns. 125:1996;154.
29. Chen X. J. Differential Geometry. 44:1996;262.
30. Alikakos N., Bates P.W., Chen X. Arch. Rat. Mech. Anal. 128:1994;165.
31. Novick-Cohen A., Cahn J.W., Elliott C.M. Eur. J. Appl. Math. 7:1996;287.
32. Mullins W.W. J. Appl. Phys. 28:1957;333.
33. Cahn J.W., Taylor J.E. Acta metall. mater. 42:1994;1045.
34. Taylor J.E. Acta metall. mater. 40:1992;1475.
35. Tuckerman L.S., Bechhofer J. Phys. Rev. A46:1992;3178.
36. Cahn, J. W. and Novick-Cohen, A., in preparation.
37. Cahn J.W., Fife P., Penrose O. Acta mater. 45:1997;4397.
38. Meyrick G. Scripta metall. 10:1976;649.
39. Coble, R. L., private communication, 1980.