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Non-Markovian Persistence at the PC point of a 1d non-equilibrium kinetic Ising model

Nora Menyhard·Geza Odor
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Abstract

One-dimensional non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest neighbour spin exchanges exhibiting a parity-conserving (PC) phase transition on the level of kinks are investigated here numerically from the point of view of the underlying spin system. The dynamical persistency exponent $Θ$ and the exponent $lambda$ characterising the two-time autocorrelation function of the total magnetization under non-equilibrium conditions are reported. It is found that the PC transition has strong effect: the process becomes non-Markovian and the above exponents exhibit drastic changes as compared to the Glauber-Ising case.

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Nora Menyhard, Geza Odor. 1997-06-09. Non-Markovian Persistence at the PC point of a 1d non-equilibrium kinetic Ising model. https://doi.org/10.1088/0305-4470%2F30%2F24%2F015

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