Non-equilibrium phase transitions in one-dimensional kinetic Ising models
Abstract
A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the range of spin exchanges and/or their strength the nature of the phase transition 'Ising-to-active' becomes of (dynamic) mean-field type and a first order tricitical point is located at the Glauber ($\delta=0$) limit. Corrections to mean-field theory are evaluated up to sixth order in a cluster approximation and found to give good results concerning the phase boundary and the critical exponent $\beta$ of the order parameter which is obtained as $\beta\simeq1.0$.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- August 1995
- DOI:
- arXiv:
- arXiv:cond-mat/9504061
- Bibcode:
- 1995JPhA...28.4505M
- Keywords:
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- Condensed Matter;
- High Energy Physics - Lattice
- E-Print:
- 15 pages, revtex file, figures available at request from odor@r1.atki.kfki.hu in postscript format, submitted to J.Phys.A