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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 (one of the alternative locations)
ISSN: 1539-3755
1550-2376 (Online)
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Copyright: 1996, American Physical Society
Appears in Collections:Research Papers (TP)

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