 By identifying the maximally random jammed state of freely-jointed chains of tangent hard spheres we are able to determine the distinct scaling regimes characterizing the dependence of chain dimensions and topology on volume fraction. Calculated distributions of i) the contour length of the primitive paths, and ii) the number of entanglements per chain agree remarkably well with recent theoretical predictions in all scaling regimes. Furthermore, our simulations reveal a hitherto unsuspected connection between purely intra- (knots) and inter- (entanglements) molecular topological constraints.
for LaTeX users @article{KFoteinopoulou2008-101,
author = {K. Foteinopoulou and N. C. Karayiannis and M. Laso and M. Kr\"oger and M. L. Mansfield},
title = {Universal scaling, entanglements, and knots of model chain molecules},
journal = {Phys. Rev. Lett.},
volume = {101},
pages = {265702},
year = {2008}
}
\bibitem{KFoteinopoulou2008-101} K. Foteinopoulou, N.C. Karayiannis, M. Laso, M. Kr\"oger, M.L. Mansfield,
Universal scaling, entanglements, and knots of model chain molecules,
Phys. Rev. Lett. {\bf 101} (2008) 265702 (4 pages)
article also included in the Virtual J. Quant. Info. 9:1 (2009)]
[article also included in the Virtual J. Biol. Phys. 17:1 (2009)].KFoteinopoulou2008-101
K. Foteinopoulou, N.C. Karayiannis, M. Laso, M. Kr\"oger, M.L. Mansfield
Universal scaling, entanglements, and knots of model chain molecules
Phys. Rev. Lett.,101,2008,265702 (4 pages)
article also included in the Virtual J. Quant. Info. 9:1 (2009)]
[article also included in the Virtual J. Biol. Phys. 17:1 (2009)] |
mk@mat.ethz.ch
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