Collective surface diffusion of strongly interacting particles is simulated on the basis of an n-fold way kinetic Monte Carlo scheme. The coverage dependence of the jump and tracer diffusion coefficients is calculated for one-and two-dimensional lattice gases at very low ͑subcritical͒ temperatures. Results are compared with exact analytical ones and Monte Carlo simulations using the standard Metropolis algorithm. The method proves to be highly reliable to investigate surface diffusion at subcritical temperatures where phase coexistence in the adlayer occurs.

Adsorption of particles with repulsive nearest-neighbor interactions is studied through Monte Carlo simulation on bivariate surfaces characterized by patches of weak and strong adsorbing sites of size l. Patches can be either arranged in a deterministic chessboard structure or in a random way. Quantities are identified which scale obeying power laws as a function of the scale length l. Consequences of this finding are discussed for the determination of the energetic topography of the surface from adsorption measurements.

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The adsorption of particles with nearest-neighbor attractive and repulsive interactions is studied through Monte Carlo simulation on bivariate surfaces characterized by patches of weak and strong adsorbing sites of size l. Patches are considered to have either a square or a strip geometry and they can be either arranged in a deterministic ordered structure or in a random way. Quantities are identified that scale obeying power laws as a function of the scale length l. The consequences of this finding are discussed for the determination of the energetic topography of the surface from adsorption measurements.