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

N. Menyhard·G. Odor
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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 ($δ=0$) 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 $β$ of the order parameter which is obtained as $β\simeq1.0$.

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N. Menyhard, G. Odor. 1995-04-14. Non-equilibrium phase transitions in one-dimensional kinetic Ising models. https://doi.org/10.1088/0305-4470%2F28%2F16%2F009

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