Discontinuous scaling of hysteresis losses

Luse, C. N.; Zangwill, Andrew

doi:10.1103/physreve.50.224

Cited by 81 publications

(68 citation statements)

References 10 publications

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“…In the simulations below, we use Eqs. (8) and (9) as G k and set d = π/2, which results in a 0 = 4. Equation (7) is useful also for discussing some characteristic properties of domain patterns.…”

Section: Model and Numerical Proceduresmentioning

confidence: 99%

Field sweep-rate dependence of magnetic domain patterns: Numerical simulations for a simple Ising-like model

Kudo

Nakamura

2007

Phys. Rev. B

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We study magnetic domain patterns in ferromagnetic thin films by numerical simulations for a simple Ising-like model. Magnetic domain patterns after quench demonstrate various types of patterns depending on the field sweep rate and parameters of the model. How the domain patterns are formed is shown with the use of the number of domains, the domain area, and domain-area distributions, as well as snapshots of domain patterns. Considering the proper time scale of the system, we propose a criterion for the structure of domain patterns.

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Section: Model and Numerical Proceduresmentioning

confidence: 99%

Field sweep-rate dependence of magnetic domain patterns: Numerical simulations for a simple Ising-like model

Kudo

Nakamura

2007

Phys. Rev. B

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“…[5][6][7][8][9][10][11][12][13] For the two-dimensional kinetic Ising model below its equilibrium critical temperature, a finite-size scaling analysis of large-scale Monte Carlo simulations has shown that the DPT is in the same universality class as the equilibrium Ising model. 14 A result confirmed in a recent study of a time-dependent Ginzburg-Landau model in an oscillatory field.…”

Section: Introductionmentioning

confidence: 99%

Dynamic phase transitions in thin ferromagnetic films

2003

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Monte Carlo simulations have been used to investigate the dynamic phase behavior of a classical Heisenberg spin system with a bilinear exchange anisotropy Λ in a planar thin film geometry. Studies of the field amplitude, frequency and temperature dependence show dynamic phase transitions in films subject to a pulsed oscillatory external field. Thin films with competing surface fields show separate and distinct dynamic phase transitions for the bulk and surface layers of the film. Between the two transitions, a mixed state with coexisting dynamically ordered and dynamically disordered phases is observed in the film. In contrast, the free film with no surface fields shows a single dynamic phase transition as in a bulk system. PACS number(s) : 75.40.Mg,

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“…Theoretical and computational studies of hysteresis have been performed for several models, using a variety of methods [53]. These include various studies of models with a single degree of freedom, equivalent to mean-field treatments of the Ising model [54][55][56], Monte Carlo (MC) simulations of the spin-1/2 Ising model [35,36,[57][58][59][60][61][62][63][64][65][66], and several O(N ) type models [12,[34][35][36]67]. These studies were performed with variations in the details of the simulations and in the model parameters.…”

Section: Introductionmentioning

confidence: 99%

Kinetic Ising model in an oscillating field: Avrami theory for the hysteretic response and finite-size scaling for the dynamic phase transition

1999

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Hysteresis is studied for a two-dimensional, spin-1/2, nearest-neighbor, kinetic Ising ferromagnet in a sinusoidally oscillating field, using Monte Carlo simulations and analytical theory. Attention is focused on large systems and moderately strong field amplitudes at a temperature below Tc. In this parameter regime, the magnetization switches through random nucleation and subsequent growth of many droplets of spins aligned with the applied field. Using a time-dependent extension of the Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory of metastable decay, we analyze the statistical properties of the hysteresis-loop area and the correlation between the magnetization and the field. This analysis enables us to accurately predict the results of extensive Monte Carlo simulations. The average loop area exhibits an extremely slow approach to an asymptotic, logarithmic dependence on the product of the amplitude and the field frequency. This may explain the inconsistent exponent estimates reported in previous attempts to fit experimental and numerical data for the low-frequency behavior of this quantity to a power law. At higher frequencies we observe a dynamic phase transition. Applying standard finite-size scaling techniques from the theory of second-order equilibrium phase transitions to this nonequilibrium transition, we obtain estimates for the transition frequency and the critical exponents (β/ν ≈ 0.11, γ/ν ≈ 1.84 and ν ≈ 1.1). In addition to their significance for the interpretation of recent experiments on switching in ferromagnetic and ferroelectric nanoparticles and thin films, our results provide evidence for the relevance of universality and finite-size scaling to dynamic phase transitions in spatially extended nonstationary systems. PACS number(s): 05.40.+j, 77.80.Dj, 64.60.Qb

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Discontinuous scaling of hysteresis losses

Cited by 81 publications

References 10 publications

Field sweep-rate dependence of magnetic domain patterns: Numerical simulations for a simple Ising-like model

Field sweep-rate dependence of magnetic domain patterns: Numerical simulations for a simple Ising-like model

Dynamic phase transitions in thin ferromagnetic films

Kinetic Ising model in an oscillating field: Avrami theory for the hysteretic response and finite-size scaling for the dynamic phase transition

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