Abstract
Using canonical Monte Carlo simulations, we introduce a new numerical procedure for comparing the entropie exponents of polymers with different constraints and/or topologies. Setting up competitions between polymer segments which can exchange monomers according to their free energies, we obtain the universal exponents of partition functions, independently of any knowledge of the non-universal part. The method is successfully tested for closed polymer loops decorated with sliding rings. We also investigate the entropic exponents of loops with a fixed knot type, in which case we are limited by strong finite-size effects.
| Original language | English |
|---|---|
| Pages (from-to) | 6-15 |
| Number of pages | 10 |
| Journal | ARI Bulletin of the Istanbul Technical University |
| Volume | 53 |
| Issue number | 1 |
| State | Published - 2003 |
Keywords
- Critical exponents
- Knots
- Polymers
- Rings
- Self-avoiding walks
- Topological entanglement