Interplay between jamming and percolation upon random sequential adsorption of competing dimers and monomers

Abstract

The competitive random coadsorption of dimers and monomers, with probabilities P(D) and P(M), such as P(D)+P(M)=1, respectively, is studied numerically by means of Monte Carlo simulations. Excluded volume and nearest-neighbor infinite repulsion between unlike species is considered. The subtle interplay between competitive coadsorption, jamming behavior and the emergency of percolation clusters is analyzed in detail. Taking P(M) as the single parameter of the model, five characteristic regions where the system exhibit different physical behavior can be identified: I) For P(M)< or =P(M1) approximately equal to 0.4025(25) the standard percolation of dimers is observed; II) Within the interval P(M1)<P(M)<P(*)(M1) approximately equal to 0.4375(25) clusters of all species (monomers, dimers, and empty sites) are finite (nonpercolating); III) For P(*)(M1)< or =P(M)< or =P(*)(M2) approximately equal to 0.5425(25) the percolation of homogeneous clusters of empty sites is observed; IV) Within the interval P(*)(M2)<P(M)<P(M2) approximately equal to 0.5575(25), the system behaves as in Region II; and finally, V) For P(M2)< or =P(M), one has the standard percolation of monomers.