The two-dimensional Spin-1 Blume–Capel ferromagnet is studied by Monte Carlo simulation with Metropolis algorithm. Starting from initial ordered spin configuration, the reversal of magnetisation is investigated in the presence of a magnetic field (h) applied in the opposite direction. The variations of the reversal time with the strength of single-site anisotropy are investigated in details. The exponential

Based on a continuous mixed strategy game model considering the memory mechanism and the uncertainty of individual decision-making, we explore the influence of several different update rules on the spatial cooperation behavior. Here, we mainly investigate the role of the Moran-like process, Fermi rule and replicator dynamics in the evolution of cooperation. Meanwhile, we further compare the evolution

In the original article, the first author’s name was mistakenly written as S. Seyyare Aksul. It must be corrected to S. Seyyare Aksu. The publisher apologizes for the mistake.