SCALING OF SPATIAL CORRELATIONS IN COOPERATIVE SEQUENTIAL ADSORPTION WITH CLUSTERING

We examine solvable cooperative sequential adsorption models on a linear lattice where adsorption rates produce strong clustering or island formation. We show that the spatial pair correlations in this regime assume a scaled form for separations comparable to a characteristic length (which diverges in the strong clustering limit). This scaled form is also determined directly from consideration of appropriate solvable continuum grain growth models.