Bounds on the decay of the auto-correlation in phase ordering dynamics
| dc.creator | Yeung, Chuck | |
| dc.creator | Rao, Madan | |
| dc.creator | Desai, Rashmi | |
| dc.date | 1994-09-24 | |
| dc.date.accessioned | 2026-07-25T15:56:51Z | |
| dc.description | 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). | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9409108 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9409108 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/38380 | |
| dc.subject | Condensed Matter | |
| dc.title | Bounds on the decay of the auto-correlation in phase ordering dynamics | |
| dc.type | text |