Non-Markovian persistence at the parity conserving point of a one-dimensional nonequilibrium kinetic Ising model

Nóra Menyhárd, Géza Ódor

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One-dimensional nonequilibrium 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 λ characterizing the two-time autocorrelation function of the total magnetization under nonequilibrium conditions are reported. It is found that the critical fluctuations at the PC transition have a strong effect on the spins: the behaviour becomes non-Markovian and the above exponents exhibit drastic changes as compared with the Markovian Glauber-Ising case. In this context the crucial importance of considering the global order parameter (instead of the local one) is emphasized.

Original languageEnglish
Pages (from-to)8515-8521
Number of pages7
JournalJournal of Physics A: Mathematical and General
Issue number24
Publication statusPublished - Dec 21 1997


ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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