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Two-stage random sequential adsorption of discorectangles and disks on a two-dimensional surface
Nikolai Lebovka1, Mykhaylo Petryk2, Mykhailo O Tatochenko1
1Laboratory of Physical Chemistry of Disperse Minerals, F. D. Ovcharenko Institute of Biocolloidal Chemistry, NAS of Ukraine, Kyiv 03142, Ukraine.
Physical Review. E
|September 19, 2023
Summary
This study explored two-stage random sequential adsorption (RSA) models for packing disks and discorectangles on 2D surfaces. The initial particle deposition significantly influences the maximum size of subsequently added particles, affecting jamming coverage and connectivity.
Area of Science:
- Materials Science
- Statistical Physics
- Surface Science
Background:
- Random sequential adsorption (RSA) models are crucial for understanding particle packing.
- Investigating two-stage RSA models provides insights into complex surface coverage dynamics.
- Disk and discorectangle packing on 2D surfaces are relevant to various physical phenomena.
Purpose of the Study:
- To investigate two variants of two-stage random sequential adsorption (RSA) models for packing disks and discorectangles on a 2D surface.
- To analyze the impact of initial particle deposition concentration and particle geometry on jamming coverage and percolation connectivity.
- To understand how the order of particle deposition (discs first or discorectangles first) affects packing efficiency.
Main Methods:
- Simulation of two-stage RSA models: Sticks+Disks (SD) and Disks+Sticks (DS).
- Systematic variation of key parameters: initial concentration, discorectangle aspect ratio (ɛ), and disk diameter (D).
- Analysis of jamming coverage and percolation connectivity for particles with hard-core and soft-shell structures.
Main Results:
- The initial particle layer dictates the maximum size of subsequently deposited particles (Dmax in SD, ɛmax in DS).
- Jamming coverage is dependent on the initial particle concentration and geometric parameters (D, ɛ).
- Percolation connectivity is influenced by particle geometry and the overlapping of soft shells, leading to disconnectedness.
Conclusions:
- The order of deposition in two-stage RSA models significantly impacts packing efficiency and structure.
- Pore formation by the first deposited particles plays a critical role in accommodating subsequent particles.
- Understanding these packing dynamics is essential for designing materials with specific surface properties and functionalities.

