Random-field Ising model in and out of equilibrium

We present numerical studies of zero-temperature Gaussian random-field Ising model (zt-GRFIM) in both equilibrium and non-equilibrium. We compare the universal quantities in 3D (avalanche critical exponents and scaling functions, fractal dimensions, and anisotropy measures) for the equilibrium and non-equilibrium disorder-induced phase transitions. We show compelling evidence that the two transitions belong to the same universality class.