Abstract
The equivalence between canonical and grand canonical constraints near a random fixed point in a critical disordered system is confirmed by means of Monte Carlo simulations. The slow approach to the asymptotic distribution for canonical averaging given by the L((alpha/nu)(random)) term is overcome by simulating long range correlated diluted Ising systems with (alpha/nu)(random)=(a-d) for the particular values a=2 (linear defects) and d=3 (three dimensional systems).
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