Non-equilibrium phase transitions in one-dimensional kinetic Ising models

Details Non-equilibrium phase transitions in one-dimensional kinetic Ising models Non-equilibrium phase transitions in one-dimensional kinetic Ising models

1995-04-14

arxiv.org/abs/cond-mat/9504061v1

J.Phys. A28 (1995) 4505-4514

Physics

Condensed Matter

15 pages, revtex file, figures available at request from odor@r1.atki.kfki.hu in postscript format, submitted to J.Phys.A

Scientific paper

10.1088/0305-4470/28/16/009

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 $\beta\simeq1.0$.

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