Interfacial Adsorption and Wetting Transition in the Classical q-State Potts Model on Archimedean Lattices*

We explore the phenomena of interfacial adsorption and critical wetting transition in the classical 2-dimensional q-state Potts model for several Archimedean lattices, including the triangular, square, honeycomb, and Kagome lattices. Our choice of lattice tilings is motivated by the availability of various 2-dimensional materials exhibiting these lattice structures. Using standard Monte Carlo simulations coupled with a cluster Graphics Processing Units (GPU) algorithm, we simulate lattices with up to 10⁹ sites. Our results indicate the emergence of a critical wetting point in each of the lattice systems, suggesting the possibility of critical wetting transitions in these lattice systems. Furthermore, we investigate the phenomenon of interfacial adsorption in these lattices and demonstrate the possibility and emergence of adsorption in these systems.