| Title: |
A.Y.: Under-knotted and over-knotted polymers: 2. Compact selfavoiding loops |
| Authors: |
Rhonald C. Lua; Nathan T. Moore; Er Yu. Grosberg |
| Contributors: |
The Pennsylvania State University CiteSeerX Archives |
| Source: |
http://static.msi.umn.edu/rreports/2005/92.pdf. |
| Publisher Information: |
World Sci. Publishing |
| Publication Year: |
2005 |
| Collection: |
CiteSeerX |
| Description: |
We present a computer simulation study of the compact self-avoiding loops as regards their length and topological state. We use a Hamiltonian closed path on the cubic-shaped segment of a 3D cubic lattice as a model of a compact polymer. The importance of ergodic sampling of all loops is emphasized. We first look at the effect of global topological constraint on the local fractal geometry of a typical loop. We find that even short pieces of a compact trivial knot, or some other under-knotted loop, are somewhat crumpled compared to a topology-blind average over all loops. We further attempt to examine whether knots are localized or de-localized along the chain when the chain is compact. For this, we perform computational decimation and chain-coarsening, and look at the “renormalization trajectories ” in the space of knots frequencies. Although not completely conclusive, our results are not inconsistent with the idea that knots become de-localized when the polymer is compact. 1. |
| Document Type: |
text |
| File Description: |
application/pdf |
| Language: |
English |
| Relation: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.509.3127; http://static.msi.umn.edu/rreports/2005/92.pdf |
| Availability: |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.509.3127; http://static.msi.umn.edu/rreports/2005/92.pdf |
| Rights: |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: |
edsbas.7F8E85B2 |
| Database: |
BASE |