Journal
ACS MACRO LETTERS
Volume 5, Issue 6, Pages 750-754Publisher
AMER CHEMICAL SOC
DOI: 10.1021/acsmacrolett.6b00289
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Funding
- MRSEC Program of the National Science Foundation [DMR-1420073]
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In order to quantify the effect of mutual threading on conformations and dynamics of unconcatenated and unknotted rings in the melt we computationally examine their minimal surfaces. We found a linear scaling of the surface area with the ring length. Minimal surfaces allow for an unambiguous algorithmic definition of mutual threading between rings. Based on it, we found that, although ring threading is frequent, majority of cases correspond to short loops. These findings explain why approximate theories that neglect threading are so unexpectedly successful despite having no small parameter justification. We also examine threading dynamics and identify the threading order parameter that reflects the ring diffusivity.
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