Mapping Cooperative Sequential Adsorption and Evaporation Models onto the Ising Model Framework

We extend our previous work on a stochastic cooperative model for particle deposition and evaporation, focusing on the mapping to the Ising model to identify critical points, phase transitions, and correlation functions. The mapping process allows us to leverage the well-established results of the Ising model to describe the steady-state properties of our system. We analyze the model in the context of ionic self-assembly of silica nanoparticles and the clustering behavior observed experimentally for different nanoparticle suspension concentrations. We employ scanning electron microscopy imaging to refine the model parameters and validate the theoretical predictions. Additionally, we explore the broader applicability of this model to other physical systems, such as social cooperative behavior, demonstrating its versatility in describing systems with nearest-neighbor interactions.