Cooperative sequential adsorption
📜 Abstract
We study one-dimensional cooperative sequential adsorption (CSA) using both mean-field theory and numeric simulations. The CSA is defined as a process in which particles are adsorbed onto a line at a rate that depends on the coverage of neighboring sites. Two parameters determine the system dynamics: the equilibrium constant for adsorption/desorption and the cooperativity constant which accounts for interactions with nearest-neighbor particles. In the mean-field model, we derive equations for the time dependence of surface coverage and show that the asymptotic behavior is governed by a second-order phase transition from zero to full coverage. Furthermore, we derive a kinetic equation which allows for a Monte Carlo realization. The Monte Carlo simulation results are in excellent agreement with the analytic solution of the mean-field equations.
✨ Summary
The paper titled “Cooperative Sequential Adsorption” by Tal Cohen, David J. Tannor, Haim Diamant, and David Andelman was published in 1994. This research investigates one-dimensional cooperative sequential adsorption (CSA) using both mean-field theory and Monte Carlo simulations. The study introduces CSA as a process governed by two key parameters: the equilibrium constant for adsorption/desorption and a cooperativity constant for nearest-neighbor interaction effects. The authors derive equations to map the time-dependent surface coverage and identify a second-order phase transition from zero to full coverage. Moreover, a kinetic Monte Carlo simulation is crafted to confirm the accuracy of the theoretical findings.
After scrutiny, this paper has contributed foundational insights into understanding the dynamics of adsorption processes influenced by cooperative effects, which are significant in fields like surface science and statistical physics. However, there appears to be limited direct recognition of this specific paper in subsequent research as evidenced by a lack of extensive citations. It illustrates a theoretical framework that might have indirectly shaped subsequent studies on adsorption and surface interactions but does not have widely cited references. For instance, the concepts may have been indirectly referenced in later works on adsorption dynamics and surface coverage models, a common theme in material sciences. No direct citations in high-impact or widely disseminated research from the original document are apparent from available data.