Parametric phase transition in one dimension
arXiv:cond-mat/0103104 · doi:10.1209/epl/i2001-00256-8
Abstract
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 reentrant with respect to the spatial coupling in agreement with the prediction of the mean field theory.
to appear in Europhysics letters