Corrections to Scaling in Phase-Ordering Kinetics

Details Corrections to Scaling in Phase-Ordering Kinetics Corrections to Scaling in Phase-Ordering Kinetics

1997-09-19

arxiv.org/abs/cond-mat/9709213v1

Physics

Condensed Matter

Statistical Mechanics

REVTEX, 7 pages, two figures, needs epsf.sty and multicol.sty

Scientific paper

10.1103/PhysRevE.57.1370

The leading correction to scaling associated with departures of the initial condition from the scaling morphology is determined for some soluble models of phase-ordering kinetics. The result for the pair correlation function has the form C(r,t) = f_0(r/L) + L^{-\omega} f_1(r/L) + ..., where L is a characteristic length scale extracted from the energy. The correction-to-scaling exponent \omega has the value \omega=4 for the d=1 Glauber model, the n-vector model with n=\infty, and the approximate theory of Ohta, Jasnow and Kawasaki. For the approximate Mazenko theory, however, \omega has a non-trivial value: omega = 3.8836... for d=2, and \omega = 3.9030... for d=3. The correction-to-scaling functions f_1(x) are also calculated.

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