Small-world networks and the conformation space of a short lattice polymer chain

by: A Scala, Nunes LA Amaral, M Barthélémy

EPL (Europhysics Letters), Vol. 55, No. 4. (2001), pp. 594-600.

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Abstract

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.

@article{citeulike:3110236, abstract = {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.}, author = {Scala, A. and Amaral, Nunes L. A. and Barth\&\#233;l\&\#233;my, M. }, citeulike-article-id = {3110236}, doi = {http://dx.doi.org/10.1209/epl/i2001-00457-7}, journal = {EPL (Europhysics Letters)}, keywords = {hp\_model, networks}, number = {4}, pages = {594--600}, posted-at = {2008-08-11 22:52:26}, priority = {2}, title = {Small-world networks and the conformation space of a short lattice polymer chain}, url = {http://dx.doi.org/10.1209/epl/i2001-00457-7}, volume = {55}, year = {2001} }

RIS record

TY - JOUR ID - citeulike:3110236 L3 - citeulike-article-id:3110236 N2 - 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. IS - 4 JF - EPL (Europhysics Letters) EP - 600 TI - Small-world networks and the conformation space of a short lattice polymer chain VL - 55 SP - 594 KW - hp_model KW - networks AU - Scala, A AU - Amaral, Nunes AU - Barthélémy, M PY - 2001/// UR - http://dx.doi.org/10.1209/epl/i2001-00457-7 ER -

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