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

preprint2011arXivOpen access

Abstract

Sznajd-Weron in [Phys. Rev. E {\bf 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 instead that the phase transition is of a continuous nature and identify critical exponents: β≈0β\approx 0, ν≈1ν\approx 1, and z≈2z \approx 2, via a systematic finite-size scaling analysis.

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