Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies

Abstract

We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12th order. An accurate estimate from series analysis for the dynamical critical exponent z is difficult but compatible with 2.2. We also use Monte Carlo simulation to determine an effective exponent, zeff(t)= -1/8dlnt/dlnm directly from a ratio of three-spin correlation to m. Extrapolation to t→∞ leads to an estimate z = 2.169±0.003.