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.
引用
收藏
页码:657 / 664
页数:8
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共 27 条
[11]   KINETICS OF THE SUPERCONDUCTING TRANSITION [J].
LIU, F ;
MONDELLO, M ;
GOLDENFELD, N .
PHYSICAL REVIEW LETTERS, 1991, 66 (23) :3071-3074
[12]   NUMERICAL-SIMULATION OF DYNAMICS IN THE XY MODEL [J].
LOFT, R ;
DEGRAND, TA .
PHYSICAL REVIEW B, 1987, 35 (16) :8528-8541
[13]   SYMMETRY DEFECTS AND BROKEN SYMMETRY - CONFIGURATIONS HIDDEN SYMMETRY [J].
MICHEL, L .
REVIEWS OF MODERN PHYSICS, 1980, 52 (03) :617-651
[14]   SCALING AND VORTEX DYNAMICS AFTER THE QUENCH OF A SYSTEM WITH A CONTINUOUS SYMMETRY [J].
MONDELLO, M ;
GOLDENFELD, N .
PHYSICAL REVIEW A, 1990, 42 (10) :5865-5872
[15]   COLLECTIVE MOTION OF AN ASSEMBLY OF DISCLINATIONS IN THE NON-ORTHOGONALLY TWISTED NEMATICS QUENCHED BELOW THE CLEARING POINT [J].
NAGAYA, T ;
ORIHARA, H ;
ISHIBASHI, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1987, 56 (09) :3086-3091
[16]   COLLECTIVE MOTION OF AN ASSEMBLY OF DISCLINATIONS IN NON-ORTHOGONALLY TWISTED NEMATICS QUENCHED BELOW THE CLEARING POINT .2. [J].
NAGAYA, T ;
ORIHARA, H ;
ISHIBASHI, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (01) :377-380
[17]   A COMPUTATIONAL STUDY OF DEFECTS DYNAMICS OF A 3-DIMENSIONAL QUENCHED COMPLEX FIELD [J].
NISHIMORI, H ;
NUKII, T .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1989, 58 (02) :563-570
[18]   STUDY OF PHASE-SEPARATION DYNAMICS BY USE OF CELL DYNAMICAL-SYSTEMS .1. MODELING [J].
OONO, Y ;
PURI, S .
PHYSICAL REVIEW A, 1988, 38 (01) :434-453
[19]   COMPUTATIONALLY EFFICIENT MODELING OF ORDERING OF QUENCHED PHASES [J].
OONO, Y ;
PURI, S .
PHYSICAL REVIEW LETTERS, 1987, 58 (08) :836-839
[20]   2/3-POWER LAW FOR COPOLYMER LAMELLAR THICKNESS IMPLIES A 1/3-POWER LAW FOR SPINODAL DECOMPOSITION [J].
OONO, Y ;
BAHIANA, M .
PHYSICAL REVIEW LETTERS, 1988, 61 (09) :1109-1111