Non-equilibrium relaxation study of the ±J Ising model with biquadratic exchange interaction

The spin-1 ±J Ising model with uniform biquadratic couplings on a simple cubic lattice is studied by the Monte Carlo simulation using the non-equilibrium relaxation method. The reentrant phase transition induced by competition between the bilinear and biquadratic couplings is eliminated gradually with increasing randomness of bilinear couplings and disappears entirely in the strong random system. The dynamic exponent of ferromagnetic transition shows non-universal behavior with changing randomness, while this behavior is not observed in the case of staggered quadrupolar transition.