Universality and Scaling for the Structure Factor in Dynamic Order-Disorder Transitions

Details Universality and Scaling for the Structure Factor in Dynamic Order-Disorder Transitions Universality and Scaling for the Structure Factor in Dynamic Order-Disorder Transitions

1998-05-27

arxiv.org/abs/cond-mat/9805360v1

Phys. Rev. E 58(5), 5501 (Nov. 1998)

Physics

Condensed Matter

Statistical Mechanics

10 pages incl. 3 figures, Revtex. Submitted to PRE

Scientific paper

10.1103/PhysRevE.58.5501

The universal form for the average scattering intensity from systems undergoing order-disorder transitions is found by numerical integration of the Langevin dynamics. The result is nearly identical for simulations involving two different forms of the local contribution to the free energy, supporting the idea that the Model A dynamical universality class includes a wide range of local free-energy forms. An absolute comparison with no adjustable parameters is made to the forms predicted by the theories of Ohta-Jasnow-Kawasaki and Mazenko. The numerical results are well described by the former theory, except in the cross-over region between scattering dominated by domain geometry and scattering determined by Porod's law.

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