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Asymptotic behavior of the entropy of chains placed on cylinders

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Autor(es):
Dantas‚ WG ; de Oliveira‚ MJ ; Stilck‚ JF
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 76, n. 3, p. 031133, 2007.
Resumo

By using the transfer matrix approach, we investigate the asymptotic behavior of the entropy of flexible chains with M monomers each placed on strips with periodic boundary conditions (cylinders). In the limit of high density of monomers, we study the behavior of the entropy as a function of the density of monomers and the width of the strip, inspired by recent analytical studies of this problem for the particular case of dimers (M=2). We obtain the entropy in the asymptotic regime of high densities for chains with M=2,...,9 monomers, as well as for the special case of polymers, where M ->infinity, and find that the results show a regular behavior similar to the one found analytically for dimers. We also verify that in the low-density limit the mean-field expression for the entropy is followed by the results from our transfer matrix calculations. (AU)

Processo FAPESP: 05/04459-1 - Derivação e análise de séries perturbativas para modelos com estados absorventes
Beneficiário:Wellington Gomes Dantas
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado