English

Dynamic phase transition of the Blume-Capel model in an oscillating magnetic field

Statistical Mechanics 2018-01-18 v2

Abstract

We employ numerical simulations and finite-size scaling techniques to investigate the properties of the dynamic phase transition that is encountered in the Blume-Capel model subjected to a periodically oscillating magnetic field. We mainly focus on the study of the two-dimensional system for various values of the crystal-field coupling in the second-order transition regime. Our results indicate that the present non-equilibrium phase transition belongs to the universality class of the equilibrium Ising model and allow us to construct a dynamic phase diagram, in analogy to the equilibrium case, at least for the range of parameters considered. Finally, we present some complementary results for the three-dimensional model, where again the obtained estimates for the critical exponents fall into the universality class of the corresponding three-dimensional equilibrium Ising ferromagnet.

Keywords

Cite

@article{arxiv.1712.08741,
  title  = {Dynamic phase transition of the Blume-Capel model in an oscillating magnetic field},
  author = {Erol Vatansever and Nikolaos G. Fytas},
  journal= {arXiv preprint arXiv:1712.08741},
  year   = {2018}
}

Comments

27 pages, 1 table, 15 figures, minor corrections (updated figures 3 and 4)