Phase ordering of the O(2) model in the post-Gaussian approximation

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

Volumn 55, Issue 3 SUPPL. A, 1997, Pages 2300-2314

  Wickham, Robert A ^a   Mazenko, Gene F ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243262438     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.55.2300     Document Type: Article

References (30)

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7. One example is the q-state clock model treated by F. Liu and G. F. Mazenko, Phys. Rev. B 47, 2866 (1993); C. Sire and S. N. Majumdar, Phys. Rev. E 52, 244 (1995).
8. One example is the q-state clock model treated by F. Liu and G. F. Mazenko, Phys. Rev. B 47, 2866 (1993); C. Sire and S. N. Majumdar, Phys. Rev. E 52, 244 (1995).
9. 1/2 growth law for n = d = 2 in the theory presented here.
10. 1/2 growth law for n = d = 2 in the theory presented here.
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15. This is not because one cannot determine the prefactor theoretically, but because of the difficulty of discrete lattices used in simulations.
16. In addition to the approach taken here, work toward a systematic treatment of phase-ordering kinetics has been undertaken by A. J. Bray and K. Humayun, Phys. Rev. E 48, R1609 (1993).
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21. Scaling in the O(n) model is believed to be controlled by a zero-temperature fixed point. Near the fixed point, temperature is an irrelevant variable and is not expected to affect the scaling exponents or the leading order form for the scaling functions. A. J. Bray, Phys. Rev. Lett. 62, 2841 (1989); Phys. Rev. B 41, 6724 (1990).
22. Scaling in the O(n) model is believed to be controlled by a zero-temperature fixed point. Near the fixed point, temperature is an irrelevant variable and is not expected to affect the scaling exponents or the leading order form for the scaling functions. A. J. Bray, Phys. Rev. Lett. 62, 2841 (1989); Phys. Rev. B 41, 6724 (1990).
23. 2.
24. -2).
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28. 1/2. Either approach, however, is valid.
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