Scaling and vortex-string dynamics in a three-dimensional system with a continuous symmetry

M. Mondello, Nigel Goldenfeld

Research output: Contribution to journalArticle

Abstract

We study the dynamics of a three-dimensional system with a nonconserved complex order parameter (r,t), following a quench below the ordering transition temperature. For a critical quench [(r,0)=0] we observe dynamical scaling and an effective value of the dynamical exponent of =0.45±0.01. For an off-critical quench [(r,0)0] there is a breakdown of dynamical scaling and the vortex-string length l(t) varies with time t as l(t)t-1exp(-t3/2), in good agreement with a theoretical calculation by Toyoki and Honda. The predicted relation (r,0)2 is found to represent only a lower bound. We indicate the possible relevance of these results for liquid-crystal systems and cosmological pattern formation.

Original languageEnglish (US)
Pages (from-to)657-664
Number of pages8
JournalPhysical Review A
Volume45
Issue number2
DOIs
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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