Eur. Phys. J. B 63, 101-108 (2008)
https://doi.org/10.1140/epjb/e2008-00201-3

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

¹ Institute of Physics, PO Box 304, Bijenička cesta 46, 10001 Zagreb, Croatia
² Department of Physics, University J.J. Strossmayer, 31000 Osijek, Croatia

Corresponding author: ^a katarina@vrabac.ifs.hr

Received: 24 January 2008
Revised: 10 April 2008
Published online: 28 May 2008

Abstract

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+σ. The scaling properties of the magnetization, autocorrelation function and time correlations of the magnetization are studied. The dynamical critical exponents θ' 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.