  We study the scaling laws of diffusion in two-dimensional media with
long-range correlated disorder through exact enumeration of random walks. The
disordered medium is modelled by percolation clusters with correlations
decaying with the distance as a power law, $r^{-a}$, generated with the
improved Fourier filtering method. To characterize this type of disorder, we
determine the percolation threshold $p_{\text c}$ by investigating
cluster-wrapping probabilities. At $p_{\text c}$, we estimate the
(sub-diffusive) walk dimension $d_{\text w}$ for different correlation
exponents $a$. Above $p_{\text c}$, our results suggest a normal random walk
behavior for weak correlations, whereas anomalous diffusion cannot be ruled out
in the strongly correlated case, i.e., for small $a$.
