Dynamics of Random Sequential Adsorption (RSA) of linear chains consisting of n circular discs — Role of aspect ratio and departure from convexity

Abstract

Abstract We study Random Sequential Adsorption (RSA) of linear chains consisting of n circular discs on a two-dimensional continuum substrate. The study has been carried out for n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 25, 30, 50, 70, 100 and 300. For all values of n , instantaneous coverage, Θ( t ), in late time regime, is found to approach to jammed state coverage, Θ(∞), in a power law fashion, Θ(∞) − Θ( t ) ~ t − p . It is observed that, with the increase in n , the exponent p goes on decreasing from the value 0.33 for n = 2 to the value 0.20 for n = 20 and then again starts rising to reach the value of 0.33 for large n . It is also found that for n ≤ 20, the exponent p has near perfect correlation with the coefficient of departure from convexity. On the other hand the jammed state coverage Θ(∞) is found to depend both on the coefficient of departure from convexity as well as on the aspect ratio of the chain.