Quenched averaged correlation functions of the random magnets

It is shown that the ratios of the quenched averaged three and four-point c orrelation functions of the local energy density operator to the connected ones in the random-bond Ising model approach asymptotically to some univers al functions. We derive the explicit expressions of these universal functio ns. Moreover it is shown that the individual logarithmic operators have not any contribution to the connected correlation functions of the disordered Ising model. (C) 2000 Elsevier Science B.V. All rights reserved.