A dual site-bond model for the description of correlated heterogeneous
surfaces is presented. This model assumes the surface as a network of
adsorptive ''sites'' connected by ''bonds' (saddle point energies). S
ite and bond energies are statistically described by their energy dist
ribution functions and the adsorptive energy surface by the joint site
-bond energy distribution which is expressed in terms of a correlation
function. The latter is determined by allowing the maximum randomness
degree admitted by the ''construction principle''. This principle sta
tes that the potential at an adsorptive site must be deeper than that
of any bond connected to that site. Energy correlations naturally aris
e when site-bond distributions overlap. A topological characterization
of these correlations through an energy correlation length is propose
d. This correlation length appears as a meaningful physical parameter.
A transition between two well-differentiated morphologies of correlat
ed elements upon variation of the overlapping degree of site-bond ener
gy distribution is found. This fact is analyzed in terms of cluster mo
rphology and percolation theory. A simulation procedure to simulate ad
equately a site-bond heterogeneous surface is developed.