2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162471We 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 changedStatistical Mechanicstext