Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2012-03-14
Physics
Condensed Matter
Soft Condensed Matter
Submitted to J. Stat. Mech
Scientific paper
The (isothermic) compressibility of lattice knots can be examined as a model of the effects of topology and geometry on the compressibility of ring polymers. In this paper, the compressibility of minimal length lattice knots in the simple cubic, face centered cubic and body centered cubic lattices are determined. Our results show that the compressibility is generally not monotonic, but in some cases increases with pressure. Differences of the compressibility for different knot types show that topology is a factor determining the compressibility of a lattice knot, and differences between the three lattices show that compressibility is also a function of geometry.
Rechnitzer Andrew
van Rensburg Esaias J. Janse
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