Abstract

The irreversible adsorption of polyatomic (or k-mers) on linear chains is related to phenomena such as the adsorption of colloids, long molecules, and proteins on solid substrates. This process generates jammed or blocked final states. In the case of k = 2, the binomial coefficient computes the number of final states. By the canonical ensemble, the Boltzmann-Gibbs-Shannon entropy function is obtained by using Stirling's approximation, and its equilibrium density rho(eq,2) is its maximum at the thermodynamic limit with value rho(eq,2) approximate to 0.822 991 17. Moreover, since at the same energy we have several possible configurations, we obtain the state probability density. Maximizing the entropy, it converges to a Gaussian distribution N(rho(eq,2), sigma(2)(eq,2)) as L -> infinity L -> infinity.