Small-world networks and the conformation space of a short lattice polymer chain
Center for Polymer Studies and Department of Physics
Boston University - Boston, MA 02215, USA
Accepted: 28 May 2001
We map the conformation space of a short 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.
PACS: 89.75.Fb – Structures and organization in complex systems / 05.10.-a – Computational methods in statistical physics and nonlinear dynamics / 87.15.He – Dynamics and conformational changes
© EDP Sciences, 2001