English

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

Statistical Mechanics 2011-09-02 v2

Abstract

We consider generalized zero-temperature Glauber dynamics under 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 ferromagnetic and active antiferromagnetic phase. Moreover, we provide analytical calculations that allow to understand the origin of the phase transition and confirm simulation results obtained earlier for synchronous updates.

Keywords

Cite

@article{arxiv.1012.5780,
  title  = {Phase diagram for a zero-temperature Glauber dynamics under partially synchronous updates},
  author = {Bartosz Skorupa and Katarzyna Sznajd--Weron},
  journal= {arXiv preprint arXiv:1012.5780},
  year   = {2011}
}

Comments

This paper has been withdrawn by the author due to a crucial error in defining order parameter

R2 v1 2026-06-21T17:04:51.814Z