Simulation Studies of Random Sequential Adsorption (RSA) of Mixture of Two-Component Circular Discs

Abstract

We study Random Sequential Adsorption (RSA) of mixture of two-component circular discs on a two-dimensional continuum substrate by computer simulation for different values of radius ratio $${r}_{A}/{r}_{B}$$ , $$({r}_{A}<{r}_{B})$$ , and relative rate constant $$k = {k}_{A}/{k}_{B}$$ between the discs. For smaller values of radius ratio and all values of relative rate constant between the discs, the approach of instantaneous surface coverage $$\theta (t)$$ to the jammed state surface coverage $$\theta (\infty )$$ of larger and smaller discs, is found to obey a power law behavior $$\theta \left(\infty \right)-\theta (t)\sim {t}^{-p}$$ , separately. For larger values of radius ratio and relative rate constant $$k$$ , the approach is found to obey same power law. Total surface coverage of binary mixture $$\theta (\infty )$$ for all the cases is found always greater than 54.7%, the one component jamming limit. Also, it is found that for a given radius ratio $${r}_{A}/{r}_{B}$$ , there is an optimum value of relative rate constant $$k = {k}_{A}/{k}_{B}$$ for which jamming coverage $$\theta (\infty )$$ is maximum. Also, our study shows that in case of adsorption of a binary mixture of circular discs of a given radius ratio $${r}_{A}/{r}_{B}$$ , relative rate constant $$k$$ can be fixed in order to get maximum or desired surface coverage. Microstructural properties of the coverings formed by RSA of binary mixture of circular discs are studied by analyzing radial distribution function and volume distribution of pores.