Short-time dynamics in the 1D long-range Potts model

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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8 pages, 8 figures, minor changes - several typos fixed, one reference changed

Scientific paper

10.1140/epjb/e2008-00201-3

We present numerical investigations of the short-time dynamics at criticality in the 1D Potts model with power-law decaying interactions of the form 1/r^{1+sigma}. The scaling properties of the magnetization, autocorrelation function and time correlations of the magnetization are studied. The dynamical critical exponents theta' and z are derived in the cases q=2 and q=3 for several values of the parameter $\sigma$ belonging to the nontrivial critical regime.

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