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Percolation and jamming in random sequential adsorption of linear segments on a square lattice
1Institute of Theoretical Physics, University of Wrocław, pl. M. Borna 9, 50-204 Wrocław, Poland. gkon@ift.uni.wroc.pl
Summary
Random sequential adsorption of linear segments on a square lattice reveals nonmonotonic percolation thresholds dependent on needle length. Jamming thresholds decrease with a power law, impacting the ratio of these critical phenomena.
Area of Science:
- Statistical Physics
- Materials Science
- Computational Modeling
Background:
- Understanding adsorption processes is crucial for materials design.
- Percolation and jamming are fundamental concepts in disordered systems.
Purpose of the Study:
- Investigate the impact of linear segment length on adsorption thresholds.
- Analyze the relationship between percolation and jamming phenomena.
Main Methods:
- Simulated random sequential adsorption of linear segments on a square lattice.
- Analyzed percolation and jamming thresholds as a function of segment length.
Main Results:
- Percolation threshold exhibits nonmonotonic behavior with a minimum at a specific needle length.
- Jamming threshold follows a power-law decay towards a constant.
- The ratio of percolation to jamming thresholds is nonmonotonic.
Conclusions:
- Needle length significantly influences critical phenomena in adsorption.
- The interplay between percolation and jamming is complex and length-dependent.
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