2004/04/30 by Manoj Gopalakrishnan, Beate Schmittmann, R. K. P. Zia
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.dis-nn
published as J. Phys. A 37(29)L337-L343 (2004) · 4 pages with 6 figures
arxiv created 2004/07/16 · arxiv updated 2009/12/01
We study bond percolation of N non-interacting Gaussian polymers of ℓ segments on a 2D square lattice of size L with reflecting boundaries. Through simulations, we find the fraction of configurations displaying \em no connected cluster which span from one edge to the opposite edge. From this fraction, we define a critical segment density ρcL(ℓ) and the associated critical fraction of occupied bonds pcL(ℓ), so that they can be identified as the percolation threshold in the L → ∞ limit. Whereas pcL(ℓ) is found to decrease monotonically with ℓ for a wide range of polymer lengths, ρcL(ℓ) is non-monotonic. We give physical arguments for this intriguing behavior in terms of the competing effects of multiple bond occupancies and polymerization.