Dynamic phase transition in classical Ising models

Abstract

When a ferromagnetic system is driven by an oscillating magnetic field, the system shows various intriguing magnetic properties. The two most common features are dynamic phase transition and dynamic hysteresis resulting from the competition between the period of the external field and the metastable lifetime of the system. In this article, we mainly review the similarities and dissimilarities between ferromagnetic systems in thermal equilibrium and those exposed to a driving time-dependent magnetic field. Extensive studies performed over two decades have shown that dynamic and thermodynamic phase transitions correspond to the same universality class and have similar phase diagrams, among other similarities. Remarkably, recent experimental studies have revealed that both fluctuations in dynamic order parameter and susceptibility can demonstrate anomalously sharp sidebands, which are known as metamagnetic anomalies, in the dynamically paramagnetic phase close to the critical point. This behavior is one of the most interesting behaviors observed in the magnetic systems driven by a time-dependent field which does not have an analog in the corresponding equilibrium counterparts. We discuss the general picture regarding the effects of the applied field components on the metamagnetic anomalies. As a main conclusion, we remark that a comprehensive literature overview reveals that the similarities between conventional thermodynamic phase transitions and corresponding dynamic counterpart are only limited to the vicinity of critical period regime with zero bias field, and they should be treated very carefully in the presence of surfaces. Finally, some of the main questions waiting to be answered and potential future research directions are underlined.

Unveiling the similarities and dissimilarities between dynamic and thermodynamic phase transitions in a magnetic binary alloy system: a Monte Carlo study

“…Note that such behavior is not observed in TPT of the conventionalferromagneticmaterials [15]. For further details regardingthe similaritiesand dissimilaritiesbetween DPT and TPT, we refer the interestedreaders to a recent review article [16]. Experimentalobservationof the metamagneticanomalies reported by [13] has been recentlysupported by some theoreticalworks for kinetic Ising model [17,18] and also for its extension as a generalspin BC model [19].…”

Dynamic phase transitions on the kagome Ising ferromagnet

“…Throughout the years, many theoretical and experimental studies have been devoted to understanding the physics behind DPTs [2,3,[6][7][8][9][10][11][12][13][14][15][16]. Several analogies between thermodynamic and dynamic phase transitions, for instance, similar phase diagrams, have been shown in theoretical and experimental studies [6,[17][18][19].…”

“…When a typical ferromagnet is exposed to a time-dependent oscillating magnetic field below its Curie temperature, T C , it can display dynamically ordered and disordered phases and a corresponding non-equilibrium dynamic phase transition (DPT) [1][2][3]. A basic model to study the dynamic phase transitions is the kinetic Ising model (KIM) which, despite its simplicity, enables us to reach the complex dynamics behind the non-equilibrium systems.…”

Dynamic Phase Transition in 2D Ising Systems: Effect of Anisotropy and Defects

“…We examine the dynamic phase transition (DPT), a phenomenon that gauges the capacity of a thermodynamic system to adhere to the time oscillations of external drivers [17,18]. The DPT has been extensively investigated in the recent literature, encompassing experimental observations [19][20][21], theoretical mean-field calculations [22], and Monte Carlo simulations [23,24].…”