Comment on "Phase transition in a one-dimensional Ising ferromagnet at zero temperature using Glauber dynamics with a synchronous updating mode".

@article{Yi2011CommentO,
  title={Comment on "Phase transition in a one-dimensional Ising ferromagnet at zero temperature using Glauber dynamics with a synchronous updating mode".},
  author={Il Gu Yi and Beom Jun Kim},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2011},
  volume={83 3 Pt 1},
  pages={
          033101
        }
}
  • I. G. Yi, Beom Jun Kim
  • Published 1 March 2011
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Sznajd-Weron [Phys. Rev. E 82, 031120 (2010)] suggested that the one-dimensional Ising model subject to the zero-temperature synchronous Glauber dynamics exhibits a discontinuous phase transition. We show here that the phase transition instead is of a continuous nature, and we identify critical exponents, β ≈ 0, ν ≈ 1, and z ≈ 2, via a systematic finite-size scaling analysis. 
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