SCALING AND VORTEX-STRING DYNAMICS IN A 3-DIMENSIONAL SYSTEM WITH A CONTINUOUS SYMMETRY

被引：67

作者：

MONDELLO, M ^{[1
]}

GOLDENFELD, N ^{[1
]}

机构：

[1] UNIV ILLINOIS, MAT RES LAB, URBANA, IL 61801 USA

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 02期

关键词：

D O I：

10.1103/PhysRevA.45.657

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the dynamics of a three-dimensional system with a nonconserved complex order parameter PSI(r,t), following a quench below the ordering transition temperature. For a critical quench [<PSI(r,0)> = 0] we observe dynamical scaling and an effective value of the dynamical exponent of phi = 0.45 +/- 0.01. For an off-critical quench [<PSI(r,0)> not-equal 0] there is a breakdown of dynamical scaling and the vortex-string length l(t) varies with time t as l(t) approximately t-1exp(-gamma-t3/2), in good agreement with a theoretical calculation by Toyoki and Honda. The predicted relation gamma is-proportional-to \<PHI(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.

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页码：657 / 664

页数：8

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