  We present numerical studies of zero-temperature Gaussian random-field Ising
model (zt-GRFIM) in both equilibrium and non-equilibrium. We compare the
no-passing rule, mean-field exponents and universal quantities in 3D (avalanche
critical exponents, fractal dimensions, scaling functions 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.
