 While the problem of packing single hard spheres in a dense, random fashion has been extensively investigated over the past 50 years, it was only recently that the analogous problem for chains of hard spheres could be solved numerically. We highlight the relevance of these recent advances, and describe the most salient characteristics of such maximally random jammed state of hard-sphere chains, with particular emphasis on the universal character for scaling behavior. We also discuss the potentially far-reaching implications of the unexpected connection found between knots, arising from intramolecular topological hindrance, and entanglements, of intermolecular origin, regarding their dependence on volume fraction.
for LaTeX users @article{MLaso2009-5,
author = {M. Laso and N. C. Karayiannis and K. Foteinopoulou and M. L. Mansfield and M. Kr\"oger},
title = {Random packing of model polymers: local structure, topological hindrance and universal scaling},
journal = {Soft Matter},
volume = {5},
pages = {1762-1770},
year = {2009}
}
\bibitem{MLaso2009-5} M. Laso, N.C. Karayiannis, K. Foteinopoulou, M.L. Mansfield, M. Kr\"oger,
Random packing of model polymers: local structure, topological hindrance and universal scaling,
Soft Matter {\bf 5} (2009) 1762-1770.MLaso2009-5
M. Laso, N.C. Karayiannis, K. Foteinopoulou, M.L. Mansfield, M. Kr\"oger
Random packing of model polymers: local structure, topological hindrance and universal scaling
Soft Matter,5,2009,1762-1770 |
mk@mat.ethz.ch
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