| Issue |
Europhys. Lett.
Volume 54, Number 4, May 2001
|
|
|---|---|---|
| Page(s) | 411 - 416 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2001-00256-8 | |
| Published online | 01 December 2003 | |
Parametric phase transition in one dimension
1
Laboratoire de Physique Statistique, ENS Paris -
75231 Paris cedex 05, France
2
Limburgs Universitair Centrum - B-3590 Diepenbeek, Belgium
Received:
21
December
2000
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
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