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Accueil du site > Publications > Publications 2004 > Autocorrelation exponent of conserved spin systems in the scaling regime following a critical quench

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

Clément Sire

par Clément Sire - 11 avril 2006

We study the autocorrelation function of a conserved spin system following a quench at the critical temperature. Defining the correlation length $L(t)\sim t^{1/z}$ , we find that for times and satisfying $L(t') \ll L(t) \ll L(t')^\phi$ well inside the scaling regime, the autocorrelation function behaves like $<s(t)s(t')> \sim L(t')^{-(d-2+\eta)} [{L(t')}/{L(t)}]^{\lambda'_c}$ . For the model in the $n\to\infty$ limit, we show that $\lambda'_c=d+2$ and $\phi=z/2$ . 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.