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arXiv · 1107.2489

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

Il Gu Yi·Beom Jun Kim
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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: $\beta \approx 0$, $\nu \approx 1$, and $z \approx 2$, via a systematic finite-size scaling analysis.

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Il Gu Yi, Beom Jun Kim. 2011-07-13. Comment on "Phase transition in a one-dimensional Ising ferromagnet at zero temperature using Glauber dynamics with a synchronous updating mode". https://doi.org/10.1103/physreve.83.033101

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