Analysis of Percolation Properties of Random Sequential Adsorption Patterns of K-mers on a Square Lattice

Student: Slutskii Mikhail

Supervisor: Lev Barash

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 9

Year of Graduation: 2018

This research is aimed at studying the behavior of percolation and jamming thresholds for isotropic random sequential adsorption samples by means of numerical simulations. Mostly large linear k-mers on a square lattice with periodic boundary conditions are considered. For simulating the process, an efficient in terms of memory and speed algorithm is presented. The goal is to verify previous results [1] and to obtain the ratio of percolation and jamming concentrations for lengths of k-mer up to 2^14.

Full text (added May 25, 2018)

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