Hysteresis Loop Critical Exponents in 6-Epsilon Dimensions
arXiv:cond-mat/9310038 · doi:10.1103/PhysRevLett.71.3222
Abstract
The hysteresis loop in the zero-temperature random-field Ising model exhibits a critical point as the width of the disorder increases. Above six dimensions, the critical exponents of this transition, where the "infinite avalanche" first disappears, are described by mean-field theory. We expand the critical exponents about mean-field theory, in 6-epsilon dimensions, to first order in epsilon. Despite epsilon=3, the values obtained agree reasonably well with the numerical values in three dimensions.
10 pages + 2 figures appended, RevTex 3.0, kdjps10/93