Monte Carlo simulation of a two-dimensional magnetic foam

Iglesias, J. R.; Nagel, Oscar Amadeo; Gonçalves, Sebastián; Kiwi, Miguel

doi:10.1016/s0304-8853(00)00918-5

Cited by 3 publications

(2 citation statements)

References 6 publications

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“…We recall that this curve -and all the others obtained during the relaxation processes-correspond to an average performed over 20 independent runs. This allows to appreciate the benefits of such a procedure to attenuate the fluctuations inherent to computations on a relatively small system, of only 200x200 sites, by comparison with our preliminary results [17] obtained with only one run.…”

Section: Characterizationmentioning

confidence: 96%

Modeling two-dimensional magnetic domain patterns

Iglesias¹,

Gonçalves²,

Nagel³

et al. 2002

Phys. Rev. B

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Two-dimensional magnetic garnets exhibit complex and fascinating magnetic domain structures, like stripes, labyrinths, cells and mixed states of stripes and cells. These patterns do change in a reversible way when the intensity of an externally applied magnetic field is varied. The main objective of this contribution is to present the results of a model that yields a rich pattern structure that closely resembles what is observed experimentally. Our model is a generalized two-dimensional Ising-like spin-one Hamiltonian with long-range interactions, which also incorporates anisotropy and Zeeman terms. The model is studied numerically, by means of Monte Carlo simulations. Changing the model parameters stripes, labyrinth and/or cellular domain structures are generated. For a variety of cases we display the patterns, determine the average size of the domains, the ordering transition temperature, specific heat, magnetic susceptibility and hysteresis cycle. Finally, we examine the reversibility of the pattern evolution under variations of the applied magnetic field. The results we obtain are in good qualitative agreement with experiment.

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Section: Characterizationmentioning

confidence: 96%

Modeling two-dimensional magnetic domain patterns

Iglesias¹,

Gonçalves²,

Nagel³

et al. 2002

Phys. Rev. B

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“…The dynamics implemented in such models are however also phenomenological ones, having no rigorous theoretical foundations. Various lattice models have been introduced so far, ranging from the Ising-type models involving long range coulombian interactions [12,13] to the spin-glass type models with oscillating long range (RKKY-type) interactions [14]. Once an interaction scheme has been established, lattice models are usually investigated using either canonical [12] or microcanonical [15] MC methods.…”

Section: Introductionmentioning

confidence: 99%

A kinetic Monte Carlo study for stripe-like magnetic domains in ferrimagnetic thin films

Tyukodi¹,

Chioar²,

Néda³

2013

Open Physics

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Abstract:The topology and dynamics of stripe-like magnetic domains obtained in a ferrimagnetic garnet subjected to a time-dependent external magnetic field is studied experimentally and theoretically. Experiments are performed on a commercially available magnetic bubble apparatus, allowing the observation of the timeevolution of the magnetic domain structure. The system is modeled by a meso-scale Ising-type lattice model. Exchange and dipolar interactions between the spins, and interaction of the spins with the external magnetic field are considered. The model is investigated by kinetic Monte Carlo simulations with timevarying transition rates. In the limit of low temperatures the elaborated model leads to a magnetic domain topology and dynamics that is similar to the ones observed in the experiments. In the highly non-equilibrium limit with a high driving frequency the model reproduces the experimentally recorded hysteresis loops as well. PACS

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