Parametric phase transition in one dimension

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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to appear in Europhysics letters

Scientific paper

10.1209/epl/i2001-00256-8

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.

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