Short-time dynamics of finite-size mean-field systems

CELIA ANTENEODO; EZEQUIEL E. FERRERO; SERGIO A. CANNAS

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

IOP PUBLISHING LTD

Año: 2010 vol. 07 p. 70261 - 702617

1742-5468

We study the short-time dynamics of a mean-field model with non-conserved order parameter (Curie–Weiss with Glauber dynamics) by solving the associated Fokker–Planck equation. We obtain closed-form expressions for the first moments of the order parameter, near to both the critical and spinodal points, starting from different initial conditions. This allows us to confirm the validity of the short-time dynamical scaling hypothesis in both cases. Although the procedure is illustrated for a particular mean-field model, our results can be straightforwardly extended to generic models with a single order parameter.