Computer simulations of two-dimensional flexible polymers in the dense phase

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Abstract
Using Monte Carlo simulation we study the frequency distribution for the number of chain extremities in the dense phase of two-dimensional noncrossing polymer models. For a system in which cyclization is forbidden we find consistency with recent predictions, namely, a Poisson form raised to a fractional power. Permitting cyclization restores the Poisson distribution. We also examine the Flory exponent ν for noncyclic chains in the dense phase for each case, and find trends consistent with 1/2 (cyclization forbidden) and the recently proposed value of 4/7 (cyclization allowed).