Anisotropy-driven reversal of magnetisation in Blume–Capel ferromagnet: a Monte Carlo study

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 investigated in presence a magnetic field ($h$) applied opposite direction. variations time strength single site anisotropy are details. exponential dependence was observed. systematic mean positive and negative found. macroscopic observed to be linearly dependent on suitably defined microscopic time. saturated $M_f$ after noticed $D$. An interesting scaling relation obtained, $|M_f| \sim |h|^{\beta}f(D|h|^{-\alpha})$ function form $f(x)= \frac{1}{1+e^{(x-a)/b}}$. temporal evolution density $S_i^z=0$ (surrounded all $S_i^z=+1$) exponentially decaying. growth $S_i^z=-1$ has been fitted $\rho_{-1}(t) \frac{1}{a+e^{(t_c-t)/c}}$. characteristic shows $t_c e^{-rD}$ crossover rate falling at $D=1.5$. metastable volume fraction found obey Avrami's law.