Dynamic magnetization-reversal transition in the Ising model

Misra, Anirban; Chakrabarti, Bikas K.

doi:10.1103/physreve.58.4277

Cited by 18 publications

(22 citation statements)

References 7 publications

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“…is consistent [4] with β = 0.90 ± 0.02 and with a correlation length divergence with ν = 1.5 ± 0.3. (Here h c p is the critical value of the pulse field h p , making m w = 0 at the end of regime II).…”

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confidence: 82%

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Length and time scale divergences at the magnetization-reversal transition in the Ising model

1999

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The divergences of both the length and time scales, at the magnetization-reversal transition in Ising model under a pulsed field, have been studied in the linearized limit of the mean field theory. Both length and time scales are shown to diverge at the transition point and it has been checked that the nature of the time scale divergence agrees well with the result obtained from the numerical solution of the mean field equation of motion. Similar growths in length and time scales are also observed, as one approaches the transition point, using Monte Carlo simulations. However, these are not of the same nature as the mean field case. Nucleation theory provides a qualitative argument which explains the nature of the time scale growth. To study the nature of growth of the characteristic length scale, we have looked at the cluster size distribution of the reversed spin domains and defined a pseudo-correlation length which has been observed to grow at the phase boundary of the transition.

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confidence: 82%

“…The divergence of both the time and length scale were also investigated at low temperatures by employing Monte Carlo methods. Simulations [4] on a square lattice of typical size L = 200 with periodic boundary conditions indicated an exponential growth of the time scale :…”

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confidence: 99%

Length and time scale divergences at the magnetization-reversal transition in the Ising model

1999

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“…Although the temperature induced percolation transition is well studied, very little is known about the percolation transition induced by external magnetic field. It is well known [11][12][13][14][15][16][17] that pure Ising systems, below its static critical temperature (T 0 c ) can undergo a fieldpulse induced magnetisation reversal transition. The field pulse is applied to the Ising system in the direction opposite to that of the existing order for a finite time (∆t).…”

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confidence: 99%

Dynamical percolation transition in the Ising model studied using a pulsed magnetic field

2011

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We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature and pulse width and are different from the (static) percolation transition associated with the thermal transition. For a different model that belongs to the Ising universality class, the exponents are found to be same, confirming that the behavior is a common feature of the Ising class. These observations, along with a universal critical Binder cumulant value, characterize the dynamical percolation of the Ising universality class.

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“…A similar situation happens after perpedicular demagnetizing cycles, now the domains elongate and become wider. The last case could be thought as dinamical phase transition from in to out-of-plane order induced by a driving time dependent magnetic field similar to that observed for Ising spins [31][32][33]. Therefore, the application of an external perturbation that changes momentarily the energy landscape together with the existence of highly metastable states facilitates the driving of the system to a new stable configuration that nonetheless it is not the equilibrium one.…”

Section: Discussionmentioning

confidence: 82%

Magnetic history dependence of metastable states in thin films with dipolar interactions

Iglesias

Labarta

2000

Journal of Magnetism and Magnetic Materials

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We present the results of a Monte Carlo simulation of the ground state and magnetic relaxation of a model of a thin film consisting on a two-dimensional square lattice of Heisenberg spins with perpendicular anisotropy K, exchange J and long-range dipolar interactions g. We have studied the ground state configurations of this system for a wide range of the interaction parameters J/g, K/g by means of the simulated annealing procedure, showing that the model is able to reproduce the different magnetic configurations found in real samples. We have found the existence of a certain range of K/g, J/g values for which in-plane and out-of-plane configurations are quasi-degenerated in energy. We show that when a system in this region of parameters is perturbed by an external force that is subsequently removed different kinds of ordering may be induced depending on the followed procedure. In particular, simulations of relaxations from saturation under an a.c. demagnetizing field or in zero field are in qualitative agreement with recent experiments on epitaxial and granular alloy thin films, which show a wide variety of magnetic patterns depending on their magnetic history.

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Dynamic magnetization-reversal transition in the Ising model

Cited by 18 publications

References 7 publications

Length and time scale divergences at the magnetization-reversal transition in the Ising model

Length and time scale divergences at the magnetization-reversal transition in the Ising model

Dynamical percolation transition in the Ising model studied using a pulsed magnetic field

Magnetic history dependence of metastable states in thin films with dipolar interactions

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