Diffusion in a linear lattice with correlated random rates satisfying detailed balance

Exact expressions for the diffusion constant and nonlinear current are obtained in a nearest-neighbor-hopping linear lattice when the random rates are correlated by detailed balance, allowing for arbitrary spatial correlation between random well depths and barrier heights. Also, the coefficient of the $t^{1/2}$ term for the long-time expansion of the variance 〈$x^2$〉 is calculated. The results agree well with computer simulations.