Early-time kinetics of ordering in the presence of interactions with a concentration field

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

Volumn 56, Issue 6, 1997, Pages 6909-6916

  Fischer, H P ^a   Dieterich, W ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001200185     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.6909     Document Type: Article

References (20)

1. For recent reviews, see Solids Far from Equilibrium, edited by C. Godreche (Cambridge University Press, Cambridge, England, 1992);Phase Transformations in Materials, Materials Science and Technology, Vol. 5, edited by P. Haasen (VCH Weinheim, New York, 1991).
2. K. Binder, W. Kinzel, and D. P. Landau, Surf. Sci. 117, 232 (1982).SUSCAS
3. J. K. G. Dont, An Introduction to Dynamics of Colloids (Elsevier, Amsterdam, 1996).
4. S. M. Allen and J. W. Cahn, Acta Metall. 24, 425 (1976).AMETAR
5. A. G. Khachaturyan, T. F. Lindsey, and J. W. Morris, Jr., Metall. Trans. A 19, 249 (1988).MTTABN
6. Long-Quing Chen and A. G. Khachaturyan, Phys. Rev. B 46, 5899 (1992).PRBMDO
7. V. Yu. Dobretsov, V. G. Vaks, and G. Martin, Phys. Rev. B 54, 3227 (1996).PRBMDO
8. J. Lendvai and H. J. Gudladt, Z. Metallkd. 84, 242 (1993).ZEMTAE
9. B. Noble and A. J. Trowsdale, Philos. Mag. A 71, 1345 (1995).PMAADG
10. P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. 49, 435 (1977).RMPHAT
11. K. R. Elder, B. Morin, M. Grant, and R. C. Desai, Phys. Rev. B 44, 6673 (1991).PRBMDO
12. A. M. Somoza and C. Sagui, Phys. Rev. E 53, 5101 (1996).PLEEE8
13. C. Sagui, A. M. Somoza, and R. C. Desai, Phys. Rev. E 50, 4865 (1994).PLEEE8
14. K. Binder, H. L. Frisch, and J. Jäckle, J. Chem. Phys. 85, 1505 (1986).JCPSA6
15. J. Jäckle and M. Pieroth, J. Phys. Condens. Matter 2, 4963 (1990).JCOMEL
16. The grid spacing (Formula presented) is chosen as (Formula presented) which is much smaller than (Formula presented) in the cases studied here. For the integration in time, we used a Runge-Kutta algorithm with adaptive stepsize control.
17. J. S. Langer, Ann. Phys. (N.Y.) 65, 53 (1971).APNYA6
18. K. Binder, Phys. Rev. A 29, 341 (1984).PLRAAN
19. G. Martin, Phys. Rev. B 50, 12 362 (1994).PRBMDO
20. would lead to additional terms (Formula presented) in the matrix T, Eq. (14). This would modify the mode spectra shown in Fig. 22 to order (Formula presented) Since T remains positive definite, our conclusions with respect to the number of unstable branches and with respect to the critical wave numbers (Formula presented) would, however, remain unchanged.