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

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

1997-06-09

arxiv.org/abs/cond-mat/9706083v1

J. Phys. A 30, 8515 (1997)

Physics

Condensed Matter

Statistical Mechanics

6 pages, Latex, postscript figures included

Scientific paper

10.1088/0305-4470/30/24/015

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 $\Theta$ 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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