  We have done a finite-size scaling study of a continuous phase transition
altered by the quenched bond disorder, investigating systems at quasicritical
temperatures of each disorder realization by using the equilibriumlike invaded
cluster algorithm. Our results indicate that in order to access the thermal
critical exponent $y_\tau$, it is necessary to average the free energy at
quasicritical temperatures of each disorder configuration. Despite the thermal
fluctuations on the scale of the system at the transition point, we find that
spatial inhomogeneities form in the system and become more pronounced as the
size of the system increases. This leads to different exponents describing
rescaling of the fluctuations of observables in disorder and thermodynamic
ensembles.
