PMID: 15244886Jul 13, 2004Paper

Vortex velocity probability distributions in phase-ordering kinetics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Gene F Mazenko

Abstract

The calculation of the point vortex velocity probability distribution function (VVPDF) is extended to a larger class of systems beyond the nonconserved time-dependent Ginzburg-Landau (TDGL) model treated earlier. The range is extended to include certain anisotropic models and the conserved order parameter case. The VVPDF still satisfies scaling with large velocity tails as for the nonconserved isotropic case. It is shown that the average vortex speed can be self-consistently expressed in terms of correlation functions associated with a Gaussian auxiliary field. In the conserved order parameter case the average vortex speed decays as t(-1) compared to the t(-1/2) decay for the nonconserved case.

References

Dec 15, 1992·Physical Review. a·A N PargellisP E Cladis
Mar 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B YurkeD A Huse
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hai Qian, Gene F Mazenko

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