Grain-boundary motion in layered phases

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

Volumn 63, Issue 6, 2001, Pages

  Boyer, Denis ^a   Viñals, Jorge ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BLOCK COPOLYMERS; CALCULATIONS; INTEGRAL EQUATIONS; LINEAR SYSTEMS; LYAPUNOV METHODS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; QUENCHING; RELAXATION PROCESSES;

LINEAR RELAXATION; RAYLEIGH NUMBER; RAYLEIGH-BENARD CONVECTION; SWIFT-HOHENBERG EQUATION; TIME-DEPENDENT TRAVELING VELOCITY;

GRAIN BOUNDARIES;

EID: 0035365001     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.061704     Document Type: Article

References (25)

1. M. Cross and P. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
2. M. Seul and D. Andelman, Science 267, 476 (1995).
3. G. Fredrickson and F. Bates, Annu. Rev. Mater. Sci. 26, 501 (1996).
4. M. Cross and A. Newell, Physica D 10, 299 (1984).
5. M. Cross and D. Meiron, Phys. Rev. Lett. 75, 2152 (1995).
6. J. Toner and D. Nelson, Phys. Rev. B 23, 316 (1981).
7. P. Manneville, Dissipative Structures and Weak Turbulence (Academic, New York, 1990).
8. E. Siggia and A. Zippelius, Phys. Rev. A 24, 1036 (1981).
9. P. Manneville and Y. Pomeau, Philos. Mag. A 48, 607 (1983).
10. G. Tesauro and M. Cross, Philos. Mag. A 56, 703 (1987).
11. H. Brand and K. Kawasaki, J. Phys. A 17, L905 (1984).
12. K. Elder, J. Viñals, and M. Grant, Phys. Rev. A 46, 7618 (1992).
13. A. Bray, Phys. Rev. E 58, 1508 (1998).
14. P. Hohenberg and B. Halperin, Rev. Mod. Phys. 49, 435 (1977).
15. A. Bray, in Formation and Interaction of Topological Defects, edited by A.-C. Davis and R. Brandenberger (Plenum, New York, 1995).
16. G. Mazenko, in Formation and Interaction of Topological Defects, edited by A.-C. Davis and R. Brandenberger (Plenum, New York, 1995).
17. K. Elder, J. Viñals, and M. Grant, Phys. Rev. Lett. 68, 3024 (1992).
18. Y. Shiwa, T. Taneike, and Y. Yokojima, Phys. Rev. Lett. 77, 4378 (1996).
19. Q. Hou, S. Sasa, and N. Goldenfeld, Physica A 239, 219 (1997).
20. J. Christensen and A. Bray, Phys. Rev. E 58, 5364 (1998).
21. B. Malomed, A. Nepomnyashchy, and M. Tribelsky, Phys. Rev. A 42, 7244 (1990).
22. J. Swift and P. Hohenberg, Phys. Rev. A 15, 319 (1977).
23. M. Cross, D. Meiron, and Y. Tu, Chaos 4, 607 (1994).
24. Actually, the dependence of (Formula presented) with (Formula presented) differs slightly from (Formula presented) (see Ref. 9). However, the behavior (Formula presented) remains a good approximation.
25. D. Bensimon, B. Shraiman, and V. Croquette, Phys. Rev. A 38, 5461 (1988).