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## Autocorrelation exponent of conserved spin systems in the scaling regime following a critical quench

Clément Sire

par - 11 avril 2006

We study the autocorrelation function of a conserved spin system following a quench at the critical temperature. Defining the correlation length , we find that for times and satisfying well inside the scaling regime, the autocorrelation function behaves like . For the model in the limit, we show that and . We give a heuristic argument suggesting that this result is in fact valid for any dimension and spin vector dimension . We present numerical simulations for the conserved Ising model in and , which are fully consistent with this result.

Preprint : http://arxiv.org/abs/cond-mat/0406333