Conformations of Randomly Linked Polymers
摘要
We consider polymers in which M randomly selected pairs of monomers are restricted to be in contact. Analytical arguments and numerical simulations show that an ideal (Gaussian) chain of N monomers remains expanded as long as M<<N; its mean squared end to end distance growing as r^2 ~ M/N. A possible collapse transition (to a region of order unity) is related to percolation in a one dimensional model with long--ranged connections. A directed version of the model is also solved exactly. Based on these results, we conjecture that the typical size of a self-avoiding polymer is reduced by the links to R > (N/M)^(nu). The number of links needed to collapse a polymer in three dimensions thus scales as N^(phi), with (phi) > 0.43.
引用
@article{arxiv.cond-mat/9603017,
title = {Conformations of Randomly Linked Polymers},
author = {Yacov Kantor and Mehran Kardar},
journal= {arXiv preprint arXiv:cond-mat/9603017},
year = {2009}
}
备注
6 pages, 3 Postscript figures, LaTeX