Monte Carlo simulation of universal short-time behaviour in critical relaxation

Abstract
The time evolution of the three-dimensional critical Ising model relaxing from a non-equilibrium initial state is studied by means of Monte Carlo simulation. We observe the characteristic initial increase of the (spatially) averaged magnetization predicted by Janssen et al. The exponent theta ' that governs the initial behaviour is determined, and the dependence of the long-time linear decay on the initial magnetization, m0, is analysed. Our simulation corroborates earlier results derived from continuum models.
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