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

Uzelac, Katarina; Glumac, Zvonko; Barisic, Osor S.

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

Authors

Uzelac, Katarina

Glumac, Zvonko

Barisic, Osor S.

Description

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 $σ$ belonging to the nontrivial critical regime.
8 pages, 8 figures, minor changes - several typos fixed, one reference changed