Abstract

The critical behaviour of partially directed self-avoiding walks (SAWs) on a cubic lattice with only one axis directed is studied using exact enumerations. The critical exponents ( nu /sub ///=0.999+or-0.005, nu perpendicular to =0.501+or-0.006 and gamma =1.000+or-0.001) found here further support the universality hypothesis that various partially directed SAWs belong to the same universality class as fully directed SAWs and they are also dimension independent for d>or=2.

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