Department of Physics, Dokuz Eylül University, TR-35160 Izmir, Turkey.
Applied Mathematics Research Centre, Coventry University, Coventry CV1 5FB, United Kingdom.
Phys Rev E. 2018 Jan;97(1-1):012122. doi: 10.1103/PhysRevE.97.012122.
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 nonequilibrium phase transition belongs to the universality class of the equilibrium Ising model and allow us to construct a dynamic phase diagram, in analogy with 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.
我们采用数值模拟和有限尺寸标度技术研究了在受到周期性磁场作用的 Blume-Capel 模型中遇到的动态相变的性质。我们主要关注在二阶相变区域中不同晶场耦合值下的二维系统的研究。我们的结果表明，当前的非平衡相变属于平衡伊辛模型的普遍性类，并且允许我们构建一个动态相图，类似于平衡情况，至少在考虑的参数范围内是这样的。最后，我们给出了三维模型的一些补充结果，在该模型中，得到的临界指数估计值再次落入相应的三维平衡伊辛铁磁体的普遍性类中。
