Unwinding Scaling Violations in Phase Ordering

Details Unwinding Scaling Violations in Phase Ordering Unwinding Scaling Violations in Phase Ordering

1994-10-20

arxiv.org/abs/cond-mat/9410078v2

Phys. Rev. Lett. vol. 74, p. 3836 (1995)

Physics

Condensed Matter

4 pages, LATeX, uuencoded figure file appended: needs epsf.sty, [resubmitted since postscript version did not work well], M/

Scientific paper

10.1103/PhysRevLett.74.3836

The one-dimensional $O(2)$ model is the simplest example of a system with topological textures. The model exhibits anomalous ordering dynamics due to the appearance of two characteristic length scales: the phase coherence length, $L \sim t^{1/z}$, and the phase winding length, $L_{w} \sim L^{\chi}$. We derive the scaling law $z=2+\mu\chi$, where $\mu=0$ ($\mu=2$) for nonconserved (conserved) dynamics and $\chi=1/2$ for uncorrelated initial orientations. From hard-spin equations of motion, we consider the evolution of the topological defect density and recover a simple scaling description. (please email ar@v2.ph.man.ac.uk for a hard copy by mail)

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