Kinetic Ising model in a time-dependent oscillating external magnetic field:effective-field theory

Recently, Shiet al. [2008 Phys. Left. A 372 5922] have studied the dynamical response of the kinetic Ising model in the presence of a sinusoidal oscillating field and presented the dynamic phase diagrams by using an effective-field theory （EFT） and a mean-field theory （MFT）. The MFT results are in conflict with those of the earlier work of Tome and de Oliveira, [1990 Phys. Rev. A 41 4251]. We calculate the dynamic phase diagrams and find that our results are similar to those of the earlier work of Tome and de Oliveira; hence the dynamic phase diagrams calculated by Shiet al. are incomplete within both theories, except the low values of frequencies for the MFT calculation. We also investigate the influence of external field frequency （w） and static external field amplitude （h0） for both MFT and EFT calculations. We find that the behaviour of the system strongly depends on the values of w and h0.

Effective-Field Theory for Kinetic Ising Model on Honeycomb Lattice

作为一个分析方法，有效地的理论(水蜥) 被用来面对震荡的一条正弦曲线学习运动 Ising 模型的动态反应领域。平均磁化的运动的有效地的方程为蜂房格子被给(Z = 3 ) 。Liapunov 代表 λ 为讨论磁化的稳定性被计算，决定阶段边界被用来。在领域振幅 h 0/ZJ-temperature T/ZJ 飞机，分开的阶段边界动态订，混乱阶段被拉了。与预言了分开连续、不连续的转变的一根动态阶段边界线的一个 tricritical 点的以前的分析结果相对照，我们发现转变总是是连续的。在我们的结果和以前的分析结果之间有矛盾，因为他们不介绍足够地强壮的变化。