Reduced models to analyze the different regimes of the flow past a circular cylinder
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Ergodic and algebraic properties for dynamical systems which preserves an infinite...
| Full text | |
| Author(s): |
Dantas‚ WG
;
de Oliveira‚ MJ
;
Stilck‚ JF
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 76, n. 3, p. 031133, 2007. |
| Abstract | |
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) | |
| FAPESP's process: | 05/04459-1 - Derivation and analysis of perturbative series for models with absorbent states |
| Grantee: | Wellington Gomes Dantas |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |