Dynamic behavior of a magnetic system driven by an oscillatory external temperature

Abstract

The dynamic effects on a magnetic system exposed to a time-oscillating external temperature are studied using Monte Carlo simulations on the classic 2D Ising Model. The time dependence of temperature is defined as $T(t)=T_0+A\cdot \sin (2\pi t/\tau )$. Magnetization $M(t)$ and period-averaged magnetization $⟨Q⟩$ are analyzed to characterize out-of-equilibrium phenomena. Hysteresis-like loops in $M(t)$ are observed as a function of $T(t)$. The area of the loops is well-defined outside the critical Ising temperature ($T_c$) but takes more time to close it when the system crosses the critical curve. Results show a power-law dependence of $⟨Q⟩$ (the averaged area of loops) on both $L$ and $\tau$, with exponents $\alpha =1.0(1)$ and $\beta =0.70(1)$, respectively. Furthermore, the impact of shifting the initial temperature $T_0$ on $⟨Q⟩$ is analyzed, suggesting the existence of an effective $\tau$-dependent critical temperature $T_c(\tau )$. A scaling law behavior for $⟨Q⟩$ is found on the base of this $\tau$-dependent critical temperature.

6 pages, 4 figures