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Scaling of the Random-Field Ising Model at Zero Temperature

Michael R. Swift·Alan J. Bray·Amos Maritan·Marek Cieplak·Jayanth R. Banavar
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Abstract

The exact determination of ground states of small systems is used in a scaling study of the random-field Ising model. While three variants of the model are found to be in the same universality class in 3 dimensions, the Gaussian and bimodal models behave distinctly in 4 dimensions with the latter apparently having a discontinuous jump in the magnetization. A finite-size scaling analysis is presented for this transition.

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Michael R. Swift, Alan J. Bray, Amos Maritan, Marek Cieplak, Jayanth R. Banavar. 1997-05-28. Scaling of the Random-Field Ising Model at Zero Temperature. https://doi.org/10.1209/epl%2Fi1997-00237-5

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