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The branched polymer growth model revisited

✍ Scribed by Ubiraci P.C. Neves; André L. Botelho; Roberto N. Onody

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
409 KB
Volume
324
Category
Article
ISSN
0378-4371

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✦ Synopsis

The branched polymer growth model (BPGM) has been employed to study the kinetic growth of ramiÿed polymers in the presence of impurities. In this article, the BPGM is revisited on the square lattice and a subtle modiÿcation in its dynamics is proposed in order to adapt it to a scenario closer to reality and experimentation. This new version of the model is denominated the adapted branched polymer growth model (ABPGM). It is shown that the ABPGM preserves the functionalities of the monomers and so recovers the branching probability b as an input parameter which e ectively controls the relative incidence of bifurcations. The critical locus separating inÿnite from ÿnite growth regimes of the ABPGM is obtained in the (b; c) space (where c is the impurity concentration). Unlike the original model, the phase diagram of the ABPGM exhibits a peculiar reentrance.

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