Title:	Bounds on the decay of the auto-correlation in phase ordering dynamics
Authors:	Yeung, Chuck Rao, Madan Desai, Rashmi
Issue Date:	1996
Publisher:	American Physical Society
Citation:	Physical Review E, 1996, V.53, p3073
Abstract:	We obtain bounds on the decay exponent lambda of the autocorrelation function in phase ordering dynamics. For non-conserved order parameter, we recover the Fisher and Huse inequality, lambda > = d/2. If the order parameter is conserved we also find lambda >= d/2 if the initial time t1 = 0. However, for t1 in the scaling regime, we obtain lambda >= d/2 + 2 for d >= 2 and lambda >= 3/2 for d=1. For the one-dimensional scalar case, this, in conjunction with previous results, implies that lambda is different for t1 = 0 and t1 >> 1. In 2-dimensions, our extensive numerical simulations for a conserved scalar order parameter show that lambda approx 3 for t1=0 and lambda approx 4 for t1 >> 1. These results contradict a recent conjecture that conservation of order parameter requires lambda = d. Quenches to and from the critical point are also discussed. (uuencoded PostScript file with figures appended at end).
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/4591
ISSN:	1539-3755 1550-2376 (Online)
Alternative Location:	http://arxiv.org/abs/cond-mat/9409108 http://adsabs.harvard.edu/abs/1994cond.mat..9108Y
Copyright:	1996, American Physical Society
Appears in Collections:	Research Papers (TP)

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