Dynamic phase transitions in the anisotropic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>XY</mml:mi></mml:math>spin system in an oscillating magnetic field

Yasui, Tomoaki; Tutu, Hiroki; Yamamoto, Mariko; Fujisaka, Hirokazu

doi:10.1103/physreve.66.036123

Cited by 38 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The dynamic phase transition was also observed previously [10][11][12][13] in other ferromagnetic models. It was studied [14] in the Ginzburg-Landau model of anisotropic X Y ferromagnet and different types of chaotic behaviour were observed.…”

Section: Introductionsupporting

confidence: 84%

Non-equilibrium phase transition in the kinetic Ising model driven by a propagating magnetic field wave

Acharyya¹

2011

Phys. Scr.

View full text Add to dashboard Cite

The two dimensional ferromagnetic Ising model in the presence of a propagating magnetic field wave (with well defined frequency and wavelength) is studied by Mone Carlo simulation. This study differs from all of the earlier studies done so far, where the oscillating magnetic field was considered to be uniform in space. The time average magnetisation over a full cycle (the time period) of the propagating magnetic field acts as the dynamic order parameter. The dynamical phase transition is observed. The temperature variation of the dynamic order parameter, the mean square deviation of the dynamic order parameter, the dynamic specific heat and the derivative of the dynamic order parameter are studied. The mean square deviation of the dynamic order parameter, dynamic specific heat show sharp maxima near the transition point. The derivative of dynamic order parameter shows sharp minimum near the transition point. The transition temperature is found to depend also on the speed of propagation of the magnetic field wave.

show abstract

Section: Introductionsupporting

confidence: 84%

Non-equilibrium phase transition in the kinetic Ising model driven by a propagating magnetic field wave

Acharyya¹

2011

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Experimental evidence for the DPT has been found in highly anisotropic (Ising-like) and ultrathin Co/Cu(001) ferromagnetic films [41] and in ferroic systems (ferromagnets, ferroelectrics and ferroelastics) with pinned domain walls [42]. Furthermore, we should also mention that recent research on the DPT has been widely extended to more complex systems such as vector type order parameter systems, e.g., the Heisenberg-spin systems [43], XY model [44], a Ziff-Gulari-Barshad model for CO oxidation with CO desorption to periodic variation of the CO pressure [45] and high-spin Ising models such as kinetics of spin-1 Ising [31,32] and spin-3/2 BC [27] models, and a mixed-spin Ising model, e.g., the kinetics of a mixed spin-1/2 and spin-1 Ising model [30]. The DTP in model ferromagnetic systems (Ising and Heisenberg) in the presence of a sinusoidally oscillating magnetic field have been reviewed recently by Acharyya [46].…”

Section: Introductionmentioning

confidence: 95%

Dynamic phase transition in the kinetic spin-3/2 Blume–Emery–Griffiths model in an oscillating field

Canko

Deviren

Keskín

2006

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

The dynamic phase transitions are studied, within a mean-field approach, in the kinetic Blume-Emery-Griffiths model under the presence of a time varying (sinusoidal) magnetic field by using the Glauber-type stochastic dynamics. The behaviour of the time-dependence of the order parameters and the behaviour of the average order parameters in a period, which is also called the dynamic order parameters, as a function of reduced temperature, are investigated. The nature (continuous and discontinuous) of transition is characterized by studying the average order parameters in a period. The dynamic phase transition points are obtained and the phase diagrams are presented in the reduced magnetic field amplitude and reduced temperature plane. The phase diagrams exhibit one, two, or three dynamic tricritical points and a dynamic double critical end point, and besides a disordered and two ordered phases, seven coexistence phase regions exist, which strongly depend on interaction parameters. We also calculate the Liapunov exponent to verify the stability of solutions and the dynamic phase transition points.

show abstract

“…anisotropic XY ferromagnet driven by oscillating (in time but uniform over space) magnetic field was studied [25]. However, as far as the knowledge of this author is concerned, the nonequilibrium responses of XY ferromagnet to a magnetic field having the spatio-temporal variation, has not been studied so far.…”

mentioning

confidence: 99%

Driven spin wave modes in XY ferromagnet: non-equilibrium phase transition

Acharyya

2018

Phase Transitions

View full text Add to dashboard Cite

The dynamical responses of XY ferromagnet driven by linearly polarised propagating and standing magnetic field wave have been studied by Monte Carlo simulation in three dimensions. In the case of propagating magnetic field wave (with specified amplitude, frequency and the wavelength), the low temperature dynamical mode is a propagating spin wave and the system becomes structureless (or random) in the high temperature. A dynamical symmetry breaking phase transition is observed at a finite (nonzero) temperature. This symmetry breaking is confirmed by studying the statistical distribution of the angle of the spin vector. The dynamic nonequilibrium transition temperature was found to decrease as the amplitude of the propagating magnetic field wave increased. A comprehensive phase boundary is drawn in the plane formed by temperature and amplitude of propagating field wave. The phase boundary was observed to shrink (in the low temperature side) for longer wavelength of the propagating magnetic wave. In the case of standing magnetic field wave, the low temperature excitation is a standing spin wave which becomes structureless (or random) in the high temperature. Here also, like the case of propagating magnetic wave, a dynamical symmetry breaking nonequilibrium phase transition was observed. A comprehensive phase boundary was drawn. Unlike the case of propagating magnetic wave, the phase boundary does not show any systematic variation with the wavelength of the standing magnetic field wave. In the limit of vanishingly small amplitude of the field, the phase boundaries approach the recent Monte Carlo estimate of equilibrium transition temperature. I. Introduction:The nonequilibrium responses of Ising ferromagnet to an oscillating (in time but uniform over the space) magnetic field is an interesting field of modern research [1,2]. The nonequilibrium phase transition is one major focus of the investigation. Some important studies may be reported below. The existence of the growth of correlation near the transition was reported [3]. The bulk and surface critical behaviours were studied recently[4] and those are found to belong to different universality class. The anomalous metamagnetic fluctuations near the transition were studied recently [5]. This study was supported by Monte Carlo simulation [6]. Experimentally, a notable transient behaviour was found [7], in the uniaxial cobalt film, for the time period of the field which is faster than a critical time. This is related to the the existence of first order transition. All these studies, mentioned above, are signatures of the current interest in the field of nonequilibrium responses of ferromagnets driven by time varying external magnetic field.One common and important feature of the above mentioned studies, is the time dependence of the external magnetic field, which keeps the system far away from the equilibrium. However, recently the interests have been taken in the case, where the driving magnetic field has both spatial and temporal variations. This spatio-temporal vari...

show abstract

Dynamic phase transitions in the anisotropicXYspin system in an oscillating magnetic field

Cited by 38 publications

References 9 publications

Non-equilibrium phase transition in the kinetic Ising model driven by a propagating magnetic field wave

Non-equilibrium phase transition in the kinetic Ising model driven by a propagating magnetic field wave

Dynamic phase transition in the kinetic spin-3/2 Blume–Emery–Griffiths model in an oscillating field

Driven spin wave modes in XY ferromagnet: non-equilibrium phase transition

Contact Info

Product

Resources

About