Parametric phase transition in one dimension
Laboratoire de Physique Statistique, ENS Paris -
75231 Paris cedex 05, France
2 Limburgs Universitair Centrum - B-3590 Diepenbeek, Belgium
Accepted: 26 February 2001
We calculate analytically the phase boundary for a nonequilibrium phase transition in a one-dimensional array of coupled, overdamped parametric harmonic oscillators in the limit of strong and weak spatial coupling. Our results show that the transition is re-entrant with respect to the spatial coupling in agreement with the prediction of the mean-field theory.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 64.60.Cn – Order disorder transformations; statistical mechanics of model systems
© EDP Sciences, 2001