Swift, M. R.; Bray, A. J.; Maritan, A.; Cieplak, M.; Banavar, J. R. Scaling of the random-field Ising model at zero temperature. (English) Zbl 0935.82003 Europhys. Lett. 38, No. 4, 273-278 (1997). Summary: 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. Cited in 2 Documents MSC: 82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics Keywords:random-field Ising model; bimodal models; Gaussian models; magnetization jump; finite-size scaling analysis; magnetic transition PDFBibTeX XMLCite \textit{M. R. Swift} et al., Europhys. Lett. 38, No. 4, 273--278 (1997; Zbl 0935.82003) Full Text: DOI arXiv