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Phase diagram for a zero-temperature Glauber dynamics under partially synchronous updates

Bartosz Skorupa, Katarzyna Sznajd-Weron, and Rafal Topolnicki

  • Institute of Theoretical Physics, University of Wrocław, plac Maxa Borna 9, 50-204 Wrocław, Poland

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Phys. Rev. E 86, 051113 – Published 13 November, 2012

DOI: https://doi.org/10.1103/PhysRevE.86.051113

Abstract

We consider generalized zero-temperature Glauber dynamics under a partially synchronous updating mode for a one-dimensional system. Using Monte Carlo simulations, we calculate the phase diagram and show that the system exhibits phase transition between the ferromagnetic and active antiferromagnetic phases. Moreover, we provide analytical calculations that allow us to understand the origin of the phase transition and confirm simulation results obtained earlier for synchronous updates.

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Phys. Rev. E 86, 051113– Published 13 November, 2012
  • Received 12 June 2012

©2012 American Physical Society

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