Depinning transition and thermal fluctuations in the random-field Ising model

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Roters_1999_Depinning_Transition.pdf
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1999
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Roters, Lars
Hucht, Alfred
Lübeck, Sven
Usadel, Klaus-Dieter
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Physical Review E. 1999, 60(5), pp. 5202-5207. Available under: doi: 10.1103/PhysRevE.60.5202
Zusammenfassung

We analyze the depinning transition of a driven interface in the three-dimensional (3D) random field Ising model (RFIM) with quenched disorder by means of Monte Carlo simulations. The interface initially built into the system is perpendicular to the [111] direction of a simple cubic lattice. We introduce an algorithm which is capable of simulating such an interface independent of the considered dimension and time scale. This algorithm is applied to the 3D RFIM to study both the depinning transition and the influence of thermal fluctuations on this transition. It turns out that in the RFIM characteristics of the depinning transition depend crucially on the existence of overhangs. Our analysis yields critical exponents of the interface velocity, the correlation length, and the thermal rounding of the transition. We find numerical evidence for a scaling relation for these exponents and the dimension d of the system. [S1063-651X(99)03011-1]

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ISO 690ROTERS, Lars, Alfred HUCHT, Sven LÜBECK, Ulrich NOWAK, Klaus-Dieter USADEL, 1999. Depinning transition and thermal fluctuations in the random-field Ising model. In: Physical Review E. 1999, 60(5), pp. 5202-5207. Available under: doi: 10.1103/PhysRevE.60.5202
BibTex
@article{Roters1999Depin-4974,
  year={1999},
  doi={10.1103/PhysRevE.60.5202},
  title={Depinning transition and thermal fluctuations in the random-field Ising model},
  number={5},
  volume={60},
  journal={Physical Review E},
  pages={5202--5207},
  author={Roters, Lars and Hucht, Alfred and Lübeck, Sven and Nowak, Ulrich and Usadel, Klaus-Dieter}
}
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