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Autocorrelation exponent of conserved spin systems in the scaling regime following a critical quench | | Clément Sire
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15 Jun 2004 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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 $t’$ and $t$ satisfying $L(t’)ll L(t)ll L(t’)^phi$ well inside the scaling regime, the autocorrelation function behaves like $sim L(t’)^{-(d-2+eta)}[{L(t’)}/{L(t)}]^{lambda^prime_c}$. For the O(n) model in the $n oinfty$ limit, we show that $lambda^prime_c=d+2$ and $phi=z/2$. We give a heuristic argument suggesting that this result is in fact valid for any dimension $d$ and spin vector dimension $n$. We present numerical simulations for the conserved Ising model in $d=1$ and $d=2$, which are fully consistent with this result. | | Source: | arXiv, cond-mat/0406333 | | Services: | Forum | Review | PDF | Favorites | |
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