Asymptotic behavior of the entropy of chains placed on cylinders.
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.
Dantas
W G
WG
Universidade de São Paulo, Caixa Postal 66318 05315-970 São Paulo, São Paulo, Brazil. wgd@gibbs.if.usp.br
de Oliveira
M J
MJ
Stilck
J F
JF