Polydisperse chains placed on a one-dimensional lattice

Details Polydisperse chains placed on a one-dimensional lattice Polydisperse chains placed on a one-dimensional lattice

2005-11-28

arxiv.org/abs/cond-mat/0511667v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures. Accepted for publication in Physica A

Scientific paper

10.1016/j.physa.2005.12.025

Using a transfer matrix technique, we calculate the entropy of polydisperse chains placed on a one-dimensional lattice, as a function of the density of internal and endpoint monomers. The polydispersivity is determined considering different activities for the two types of monomers, as is usual for equailibrium polymerization and living polymers. If the mean number of monomers in the chains is fixed, the entropy as a function of the density of monomers displays a maximum and is limited from below by the entropy of monodisperse chains. The increase of entropy due to the polydispersivity is a linear function of the density of monomers. We also calculate the distribution of chain sizes, obtaining an exponential relation.

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