Dynamic correlations in domain growth: a 1/n expansion

TY - JOUR

T1 - Dynamic correlations in domain growth

T2 - a 1/n expansion

AU - Newman, T. J.

AU - Bray, A. J.

PY - 1990/10/21

Y1 - 1990/10/21

N2 - The authors consider the dynamics of the n-component Ginzburg-Landau model with nonconserved order parameter (model A) following a quench from a high-temperature equilibrium state to zero temperature. The two-time correlation function of the order-parameter field is found in the 1/n expansion to have the asymptotic scaling form Ck(t,t')=t'2/(t/t')2/f (kt,kt') for t>>t', with f(0,0)=constant. The form of the new exponent lambda (which is a non-trivial function of n and d) was given explicitly to O(1/n) in a recent letter. The purpose of this study is to present a more detailed account of the calculation leading to the O(1/n) form for lambda . They also examine the role of thermal fluctuations in the ordered phase and the effect of long-range initial correlations on the ordering process.

AB - The authors consider the dynamics of the n-component Ginzburg-Landau model with nonconserved order parameter (model A) following a quench from a high-temperature equilibrium state to zero temperature. The two-time correlation function of the order-parameter field is found in the 1/n expansion to have the asymptotic scaling form Ck(t,t')=t'2/(t/t')2/f (kt,kt') for t>>t', with f(0,0)=constant. The form of the new exponent lambda (which is a non-trivial function of n and d) was given explicitly to O(1/n) in a recent letter. The purpose of this study is to present a more detailed account of the calculation leading to the O(1/n) form for lambda . They also examine the role of thermal fluctuations in the ordered phase and the effect of long-range initial correlations on the ordering process.

UR - https://www.scopus.com/pages/publications/0000785914

U2 - 10.1088/0305-4470/23/20/011

DO - 10.1088/0305-4470/23/20/011

M3 - Article

AN - SCOPUS:0000785914

SN - 0305-4470

VL - 23

SP - 4491

EP - 4507

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 20

ER -