| Issue |
J. Phys. I France
Volume 3, Number 1, January 1993
|
|
|---|---|---|
| Page(s) | 21 - 28 | |
| DOI | https://doi.org/10.1051/jp1:1993113 | |
DOI: 10.1051/jp1:1993113
J. Phys. I France 3 (1993) 21-28
Department of Physics, Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, G.B.
05.50 - 64.60 - 75.10
© Les Editions de Physique 1993
J. Phys. I France 3 (1993) 21-28
Ordered cellular automata in one dimension
P.-M. Binder, D. Y. K. Ko, A. L. Owczarek and C. J. TwiningDepartment of Physics, Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, G.B.
(Received 5 October 1992, accepted 9 October 1992)
Abstract
We study a probabilistic one-dimensional majority-rule two-state cellular automaton and examine the stability of ordered magnetised
states in systems of size
L as the neighbourhood radius
R varies. We find that a scaling
is sufficient for an ordered phase to be metastable, i.e., to survive for times much longer than the typical critical fluctuation.
The lattice magnetisation obeys a scaling relation which agrees with results from mean-field analysis.
05.50 - 64.60 - 75.10
© Les Editions de Physique 1993