Figure 2.

Distinct sites visited on regular lattices. Scaling of the moments of the numbers of distinct sites visited in time (left) and system size (right) for (a), 1d, (b), 2d, (c), 3d, and (d) 5d regular lattices. Solid black lines represent the theoretical exponents given by Eq. (2) for d < 4, and Eq. (3) for d > 4. Simulations parameters: H = 0.1, s = e = 0.45, ε′ = 0, and γ → ∞.