Vortex annihilation in the ordering kinetics of the O(2) model

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

Volumn 55, Issue 5, 1997, Pages 5113-5125

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

^a THE UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5344225869     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.5113     Document Type: Article

References (24)

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7. 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. Z. W. Lai, G. F. Mazenko and O. T. Valls, Phys. Rev. B 37, 9481 (1988);
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11. There is theoretical and numerical evidence, however, for logarithmic corrections to the growth law when n=d=2. It appears that L∼(t/ln t(Formula presented). B. Yurke, A. N. Pargellis, T. Kovacs and D. A. Huse, Phys. Rev. E 47, 1525 (1993);
12. A. D. Rutenberg and A. J. Bray, Phys. Rev. Eibid. 51, 5499 (1995). We see only the L∼(Formula presented) growth law for n=d=2 in the theory presented here.
13. (North-Holland, Amsterdam, 1981).
14. We assume overall topological charge neutrality so 〈ρ(1)〉=(Formula presented)(Formula presented)=0.
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22. An additional consideration is that the vortex cores in the simulation are found to be eight lattice sites wide, a distance comparable to the position of the peak in Fig. 9 of 5 .
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