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

M. LETICIA RUBIO PUZZO

Arxiv

Cornell University

Año: 2023

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 $T(t)=T_0 + A . sin(2pi t/ tau)$. 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.