Abstract
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 spin 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 the present theory.
- Received 16 June 2004
DOI:https://doi.org/10.1103/PhysRevLett.93.130602
©2004 American Physical Society