E. Vives et al., UNIVERSALITY IN MODELS FOR DISORDER-INDUCED PHASE-TRANSITIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(1), 1995, pp. 5-8
We have systematically analyzed six different reticular models with qu
enched disorder and no thermal fluctuations exhibiting a field-driven
first-order phase transition. We have studied the nonequilibrium trans
ition, appearing when varying the amount of disorder, characterized by
the change from a discontinuous hysteresis cycle (with one or more la
rge avalanches) to a smooth one (with only tiny avalanches). We have c
omputed critical exponents using finite size scaling techniques and sh
own that they are consistent with universal values depending only on t
he space dimensionality d.