Generalized random sequential adsorption of polydisperse mixtures on a one-dimensional lattice

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Generalized random sequential adsorption (RSA) of polydisperse mixtures of k -mers on a one-dimensional lattice is studied numerically by means of Monte Carlo simulations. The kinetics of the deposition process of mixtures is studied for the irreversible case, for adsorption–desorption processes and for the case where adsorption, desorption and diffusion are present simultaneously. We concentrate here on the influence of the number of mixture components and the length of the k -mers making up the mixture on the temporal behavior of the coverage fraction θ( t ). The approach of the coverage θ( t ) to the jamming limit θ jam in the case of irreversible RSA is found to be exponential, , not only for a whole mixture, but also for the individual components. For the reversible deposition of polydisperse mixtures, we find that after the initial ‘jamming’, a stretched exponential growth of the coverage θ( t ) towards the equilibrium state value θ eq occurs, i.e., . The characteristic timescale τ is found to decrease with the desorption probability P des . When adsorption, desorption and diffusion occur simultaneously, the coverage of a mixture always reaches an equilibrium value θ eq , but there is a significant difference in temporal evolution between the coverage with diffusion and that without.