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Explore novel non-equilibrium behavior in spin systems through a 45-minute conference talk by Prof. Gloria Maria Buendia from the Physics department at Universidad Simón BolÃvar. Delve into recent experiments on thin Co films subjected to slow periodical sinusoidal fields with constant bias, revealing metamagnetic anomalies in susceptibility and scaled variance curves. Examine the origin of these anomalies through detailed Monte Carlo calculations on S=1/2 Ising and S=1 Blume-Capel models. Discover how these phenomena are attributed to stochastic processes related to changes in decay mechanisms towards stable phases. Gain insights into the application of nucleation theory to explain the field-dependent transition between multidroplet and single-droplet decay mechanisms. Understand the significance of these findings in bridging the gap between experimental observations and theoretical simulations in non-equilibrium spin systems.