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Low density series expansions have been obtained for the directed cubic lattice bond problem and the directed cubic and body centred cubic lattice site problems. Estimates of the critical probabilities and critical exponents gamma , gamma 0 , nu //, nu perpendicular to for these problems are obtained. The exponent values are found to be consistent with the universality of directed percolation and Reggeon field theory and the hyperscaling relation beta =(D nu perpendicular to + nu //- gamma )/2.
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De’Bell et al. (1983) studied this question.
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