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 the two-dimensional triangular lattice, considering an
isotropic RSA process on a lattice of linear dimension L 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
occurs. Finally, a complete analysis of critical exponents and universality
have 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.Comment: 6 figure