Michael R. Swift, Alan J. Bray, Amos Maritan, Marek Cieplak, Jayanth R. Banavar
Published 1997-05-28Version 1
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.
Comments: 14 pages Latex, 4 figures
Journal: Europhysics Letters 38(4), 273 (1997)
Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions
Restoration of Dimensional Reduction in the Random-Field Ising Model at Five Dimensions
Percolation between $k$ separated points in two dimensions
