Dynamical Monte Carlo studies of the three-dimensional bimodal random-field Isingmodel

Abstract

The nature of the three-dimensional random-field Ising model with a bimodal probabilitydistribution is investigated using finite-time scaling combined with the Monte Carlorenormalization group method, in the presence of a linearly varying temperature. Our resultssupport the existence of a first-order phase transition for this model, obtained throughreducing the influence of finite-size effects. The critical exponents are estimated to beν = 0.74(3), β = 0.27(1), α = − 0.023(5), andγ = 1.48(3) with corrections to the scaling. The Rushbrooke scaling law is satisfied with theseexponents, and in turn identifies the asymptotic critical behavior.