EXACT ENUMERATION OF SELF-AVOIDING WALKS ON LATTICES WITH RANDOM SITEENERGIES

The self-avoiding random walk on lattices with quenched random site en ergies is studied using exact enumeration in d = 2 and 3. For each con figuration we compute the size R and energy E of the minimum-energy se lf-avoiding walk (SAW). Configuration averages yield the exponents nu and chi, defined by R2BAR approximately N2nu and deltaE2BAR approximat ely N2chi. These calculations indicate that nu is significantly larger than its value in the pure system. Finite-temperature studies support the notion that the system is controlled by a zero-temperature fixed point. Consequently, exponents obtained from minimum-energy SAW's char acterize the properties of finite temperature SAW's on disordered latt ices.