Jamming and percolation in random sequential adsorption of straight rigid rods on a two-dimensional triangular lattice

E. J. Perino, D. A. Matoz-Fernandez, P. M. Pasinetti (Lead / Corresponding author), A. J. Ramirez-Pastor

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)
143 Downloads (Pure)

Abstract

Monte Carlo simulations and finite-size scaling analysis have been performed to study the jamming and percolation behavior of linear k-mers (also known as rods or needles) on a two-dimensional triangular lattice of linear dimension L, considering an isotropic RSA process and periodic boundary conditions. Extensive numerical work has been done to extend previous studies to larger system sizes and longer k-mers, which enables the confirmation of a nonmonotonic size dependence of the percolation threshold and the estimation of a maximum value of k from which percolation would no longer occur. Finally, a complete analysis of critical exponents and universality has been done, showing that the percolation phase transition involved in the system is not affected, having the same universality class of the ordinary random percolation.

Original languageEnglish
Article number073206
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2017
Issue number7
DOIs
Publication statusPublished - 18 Jul 2017

Keywords

  • critical exponents and amplitudes
  • finite-size scaling
  • irreversible aggregation phenomena
  • percolation problems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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