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Exact solution of a RNA-like polymer model on the Husimi lattice
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10.1063/1.2794751
/content/aip/journal/jcp/127/18/10.1063/1.2794751
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/18/10.1063/1.2794751

Figures

Image of FIG. 1.
FIG. 1.

First generations of a branch of a square Husimi tree: 0 denotes the root site, while (0,1,2,3) is the first building block.

Image of FIG. 2.
FIG. 2.

Finite-length closed-loop configuration of the polymer chain to be assigned a zero statistical weight.

Image of FIG. 3.
FIG. 3.

Grand canonical ( vs ) phase diagrams for zero (a) and nonzero (b) stacking energies. Solid and dotted lines denote first and second order transitions, respectively. The inset displays the critical end-point region.

Image of FIG. 4.
FIG. 4.

Critical end-point temperature and point temperature as a function of the stacking parameter .

Image of FIG. 5.
FIG. 5.

Fraction of paired segments as a function of temperature ( vs ) in the isolated-molecule limit, for the zero-stacking case . A dotted line denotes the discontinuity occurring at the critical end point.

Image of FIG. 6.
FIG. 6.

Entropy per segment as a function of temperature ( vs ) in the isolated-molecule limit, for different values of the stacking energy. Dotted lines denote the discontinuities.

Image of FIG. 7.
FIG. 7.

Plaquette configurations denoted in the text as two-bulge , three-bulge , and four-bulge .

Image of FIG. 8.
FIG. 8.

Conditional bulge probabilities , , and (see the text).

Tables

Generic image for table
Table I.

Local (site) polymer configurations, labels , mapping function , and bond occupation numbers , , as defined in the text.

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/content/aip/journal/jcp/127/18/10.1063/1.2794751
2007-11-09
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Exact solution of a RNA-like polymer model on the Husimi lattice
http://aip.metastore.ingenta.com/content/aip/journal/jcp/127/18/10.1063/1.2794751
10.1063/1.2794751
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