Abstract
Percolation of site trimers (-mers with ) is investigated in a detailed way making use of an analytical model based on renormalization techniques in this problem. Results are compared to those obtained here by means of extensive computer simulations. Five different deposition possibilities for site trimers are included according to shape and orientation of the depositing objects. Analytical results for the percolation threshold are all close to 0.55, while numerical results show a slight dispersion around this value. A comparison with values previously reported for monomers and dimers establishes the tendency of to decrease as increases. Critical exponent was also obtained both by analytical and numerical methods. Results for the latter give values very close to the expected value 4/3 showing that this percolation case corresponds to the universality class of random percolation.
5 More- Received 29 April 2015
- Revised 19 June 2015
DOI:https://doi.org/10.1103/PhysRevE.92.012129
©2015 American Physical Society