Dynamic behavior of a magnetic system driven by an oscillatory external temperature
arxiv(2023)
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
$\langle Q\rangle$ 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 $\langle Q\rangle$ (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 $\langle
Q\rangle$ is analyzed, suggesting the existence of an effective
$\tau$-dependent critical temperature $T_c(\tau)$. A scaling law behavior for
$\langle Q\rangle$ is found on the base of this $\tau$-dependent critical
temperature.
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