Equilibrium Adsorption of Hard Disks on Patterned Adhesive Surfaces: A Monte Carlo Simulation Study

Nazar Kukarkin; Taras Patsahan

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arXiv · 2605.02671

Equilibrium Adsorption of Hard Disks on Patterned Adhesive Surfaces: A Monte Carlo Simulation Study

Nazar Kukarkin·Taras Patsahan

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Abstract

Equilibrium adsorption of disk-like particles on patterned adhesive surfaces is studied using Monte Carlo simulations. The surface is represented as a two-dimensional plane with circular adhesive domains arranged either regularly or randomly, while the particles are modelled as hard disks. The interaction energy between a particle and the surface is defined by the contact area between the particle and the adhesive domains. It is shown that the adsorption behaviour is controlled not only by the total area of the adhesive regions, but also by the geometry of the surface pattern. In particular, the domain size is found to have a significant effect on the adsorption efficiency. The most pronounced effect is observed when the particle and domain sizes are equal, which leads to enhanced adsorption at intermediate values of the chemical potential. At high values of the chemical potential, however, when the particle surface coverage increases, steric effects become important, which weakens the influence of the surface pattern geometry. The obtained results demonstrate that the adsorption efficiency and surface organization of particles can be tuned by choosing the size, coverage, and spatial arrangement of adhesive domains. This study may be useful in the design of functional surfaces, selective adsorption platforms, biosensors, and affinity-based cell sorting systems.

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Nazar Kukarkin, Taras Patsahan. 2026-05-04. Equilibrium Adsorption of Hard Disks on Patterned Adhesive Surfaces: A Monte Carlo Simulation Study. https://arxiv.org/abs/2605.02671

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