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Dynamical phase transitions in the two-dimensional ANNNI model

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Abstract

We study the phase diagram of the two-dimensional anisotropic next-nearest neighbor Ising (ANNNI) model by comparing the time evolution of two distinct spin configurations submitted to the same thermal noise. We clearly see several dynamical transitions between ferromagnetic, paramagnetic, antiphase, and floating phases. These dynamical transitions seem to occur rather close to the transition lines determined previously in the literature.

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Author notes

  1. Michael N. Barber

    Present address: Department of Mathematics, The Faculties, Australian National University, 2601, Canberra, ACT, Australia

  2. Bernard Derrida

    Present address: Service de Physique Théorique, CEN Saclay, F-91191, Gif-sur-Yvette, France

Authors and Affiliations

  1. Institute for Theoretical Physics, University of California, 93106, Santa Barbara, California

    Michael N. Barber & Bernard Derrida

Authors
  1. Michael N. Barber
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  2. Bernard Derrida
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Barber, M.N., Derrida, B. Dynamical phase transitions in the two-dimensional ANNNI model. J Stat Phys 51, 877–891 (1988). https://doi.org/10.1007/BF01014890

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  • DOI: https://doi.org/10.1007/BF01014890

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