Breakdown of Scaling in the Nonequilibrium Critical Dynamics of the Two-Dimensional XY Model

Physical Review Letters

Volumn 84, Issue 7, 2000, Pages 1503-1506

  Bray, A J ^a   Briant, A J ^a   Jervis, D K ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000365878     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.84.1503     Document Type: Article

References (16)

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10. A. Linke, D. W. Heerman, P. Altevogt, and M. Siegert [Physica (Amsterdam) 222A, 205 (1995)] obtained z = 2.160(5) from the relaxation of the magnetization from an initially ordered state, while z = 2.14(1) was obtained in Ref. [4] using finite-size scaling of the time-dependent Binder parameter with disordered initial conditions. Both of these fall in the range 2.13-2.17 obtained by a number of other authors, e.g., S. Tang and D. P. Landau, Phys. Rev. B 36, 567 (1987).
11. A. Linke, D. W. Heerman, P. Altevogt, and M. Siegert [Physica (Amsterdam) 222A, 205 (1995)] obtained z = 2.160(5) from the relaxation of the magnetization from an initially ordered state, while z = 2.14(1) was obtained in Ref. [4] using finite-size scaling of the time-dependent Binder parameter with disordered initial conditions. Both of these fall in the range 2.13-2.17 obtained by a number of other authors, e.g., S. Tang and D. P. Landau, Phys. Rev. B 36, 567 (1987).
12. 0 ≃ 1.4, as scaling variable gives a slightly better fit.
13. s, and kinetic coefficient, Γ, are absorbed into the time, t, in this paper.
14. For a review, see A. J. Bray, Adv. Phys. 43, 357 (1994).
15. A. J. Bray (unpublished).
16. The same comments apply to the quoted results for ordered initial conditions.