Random sequential adsorption of partially oriented linear k-mers on a square lattice

Area of Science:

• Statistical Physics
• Materials Science
• Computational Modeling

Background:

• Jamming phenomena are critical in understanding the transition from fluid to solid states.
• Random sequential adsorption (RSA) models particle deposition and packing.
• Anisotropic deposition of linear k-mers introduces directional biases.

Purpose of the Study:

• Investigate jamming phenomena on a square lattice using anisotropic RSA of linear k-mers.
• Examine the effect of k-mer length and alignment on jamming thresholds.
• Analyze jamming configurations and void formation in partially ordered systems.

Main Methods:

• Simulated anisotropic random sequential adsorption (RSA) of linear k-mers.
• Varied k-mer length from 2 to 256.
• Analyzed jamming configurations and threshold variations based on order parameter and alignment.

Main Results:

• Ordered systems align with 1D analytical results, approaching Rényi's parking constant for large k.
• Disordered systems match published results for short k-mers.
• Partially oriented systems form blocks of vertical/horizontal k-mers with large voids, dependent on order parameter and k-mer length.

Conclusions:

• K-mer alignment critically influences jamming thresholds and configuration density.
• Small k-mers (k≤4) pack denser in disordered systems, while longer k-mers pack denser in ordered systems.
• Jamming configurations are complex, featuring block structures and voids influenced by anisotropic deposition parameters.