Kinetic model of phase separation in binary mixtures with hard mobile impurities

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 4, 1999, Pages 4352-4359

  Ginzburg, Valeriy V ^a   Peng, Gongwen ^a   Qiu, Feng ^a   Jasnow, David ^b   Balazs, Anna C ^a  

^a PA 15213   (United States)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE;

EID: 0001687663     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.4352     Document Type: Article

References (32)

1. H. Van Oene, in Polymer Blends, edtied by D. R. Paul and S. Newman (Academic Press, Orlando, 1978), Vol. 1, Chap. 7.
2. J. R. Fried, Polymer Science and Technology (Prentice-Hall, Englewood Cliffs, NJ, 1995).
3. See, e.g., A. J. Bray, Adv. Phys. 43, 357 (1994);J. D. Gunton, M. San Miguel, and P. Sahni, in Phase Transition and Critical Phenomena, edited by C. Domb and J. L. Lebowitz (Academic, London, 1983), Vol. 8, and references therein.
4. I. M. Lifshitz and V. V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961).
5. M. Grant and K. Elder, Phys. Rev. Lett. 82, 14 (1999).
6. E. Siggia, Phys. Rev. A 20, 595 (1979).
7. H. Furukawa, Phys. Rev. A 31, 1103 (1985).
8. Y. C. Chou and W. I. Goldburg, Phys. Rev. A 23, 858 (1981).
9. N.-C. Wong and C. M. Knobler, Phys. Rev. A 24, 3205 (1981).
10. T. Kawakatsu and K. Kawasaki, Physica A 167, 690 (1990).
11. T. Kawakatsu, K. Kawasaki, M. Furusaka, H. Okabayashi, and T. Kanaya, J. Phys.: Condens. Matter 6, 6385 (1994).
12. M. Laradji, H. Guo, M. Grant, and M. J. Zuckermann, J. Phys. A 24, L629 (1991)
13. M. LaradjiH. GuoM. GrantM. J. ZuckermannJ. Phys.: Condens. Matter 4, 6715 (1992).
14. S. Komura and H. Kodama, Phys. Rev. E 55, 1722 (1997).
15. V. V. Ginzburg, F. Qiu, M. Paniconi, G. Peng, D. Jasnow, and A. C. Balazs, Phys. Rev. Lett. 82, 4026 (1999).
16. H. Tanaka, A. J. Lovinger, and D. D. Davis, Phys. Rev. Lett. 72, 2581 (1994).
17. D. A. Huse and C. L. Henley, Phys. Rev. Lett. 54, 2708 (1985).
18. D. J. Srolovitz and G. N. Hassold, Phys. Rev. B 35, 6902 (1987).
19. M. F. Gyure, S. T. Harrington, R. Strilka, and H. E. Stanley, Phys. Rev. E 52, 4632 (1995).
20. S. C. Glotzer, M. F. Gyure, F. Sciortino, A. Coniglio, and H. E. Stanley, Phys. Rev. E 49, 247 (1994).
21. J. V. Maher, W. I. Goldburg, D. W. Pohl, and M. Lanz, Phys. Rev. Lett. 53, 60 (1984).
22. B. J. Frisken, F. Ferri, and D. S. Cannell, Phys. Rev. E 51, 5922 (1995).
23. T. Ohta, D. Jasnow, and K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982).
24. In writing the kinetic equations, we neglect the spatial inhomogeneity of the densities (Formula presented) (Formula presented) and (Formula presented), and omit the diffusive terms. While it is shown that such terms play an important role in some classes of reaction-diffusion processes 24, they do not change the equilibrium (fixed-point) state. The role of diffusive terms in determining the long-term asymptotic approach to the equilibrium presents an interesting problem which lies beyond the scope of this paper and will be the subject of future studies.
25. D. C. Mattis and M. L. Glaser, Rev. Mod. Phys. 70, 979 (1998), and references
26. V. Kuzovkov and E. Kotomin, Rep. Prog. Phys. 51, 1479 (1988), and references
27. K. Kang and S. Redner, Phys. Rev. A 32, 435 (1985)
28. D. Toussaint and F. Wilczek, J. Chem. Phys. 78, 2642 (1983)
29. Y. B. Zeldovich and A. A. Ovchinnikov, Chem. Phys. 28, 215 (1978).
30. G. Peng, M. Paniconi, V. V. Ginzburg, F. Qiu, D. Jasnow, and A. C. Balazs (unpublished).
31. Y. Oono and S. Puri, Phys. Rev. A 38, 434 (1988)
32. Phys. Rev. AY. OonoS. Puri38, 1542 (1988).