Small-world networks and the conformation space of a short lattice polymer chain
- 1 August 2001
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 55 (4) , 594-600
- https://doi.org/10.1209/epl/i2001-00457-7
Abstract
We map the conformation space of a simple lattice polymer chain to a network, where (i) the vertices of the network have a one-to-one correspondence to the conformations of the chain, and (ii) a link between two vertices indicates the possibility of switching from one conformation to the other by a single Monte Carlo move of the chain. We find that the geometric properties of this network are similar to those of small-world networks, namely, the diameter of conformation space increases, for large networks, as the logarithm of the number of conformations, while locally the network appears to have low dimensionality.Keywords
All Related Versions
This publication has 46 references indexed in Scilit:
- Resilience of the Internet to Random BreakdownsPhysical Review Letters, 2000
- Ceramic Fibers for Matrix Composites in High-Temperature Engine ApplicationsScience, 1999
- Erratum: Small-World Networks: Evidence for a Crossover Picture [Phys. Rev. Lett. 82, 3180 (1999)]Physical Review Letters, 1999
- Small-World Networks: Evidence for a Crossover PicturePhysical Review Letters, 1999
- Insulator Gives Plastic Transistors a BoostScience, 1999
- Variational Theory for Site Resolved Protein Folding Free Energy SurfacesPhysical Review Letters, 1998
- Aggregation of Amphiphiles in Ternary MixturesJournal de Physique II, 1995
- Nonlinear Optics of Organic and Polymer MaterialsPhysics Today, 1994
- Structural and ultrametric properties of (L-alanine)20Macromolecules, 1993
- The Protein Folding ProblemPhysics Today, 1993