Diffusion mechanisms of localised knots along a polymer

R. Metzler, W. Reisner, R. Riehn, R. Austin, J. O. Tegenfeldt, I. M. Sokolov

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Abstract

We consider the diffusive motion of a localised knot along a linear polymer chain. In particular, we derive the mean diffusion time of the knot before it escapes from the chain once it gets close to one of the chain ends. Self-reptation of the entire chain between either end and the knot position, during which the knot is provided with free volume, leads to an L3 scaling of diffusion time; for sufficiently long chains, subdiffusion will enhance this time even more. Conversely, we propose local "breathing", i.e., local conformational rearrangement inside the knot region (KR) arid its immediate neighbourhood, as additional mechanism. The contribution of KR-breathing to the diffusion time scales only quadratically, ∼ L 2, speeding up the knot escape considerably and guaranteeing finite knot mobility even for very long chains.

Original languageEnglish (US)
Pages (from-to)696-702
Number of pages7
JournalEurophysics Letters
Volume76
Issue number4
DOIs
StatePublished - Nov 15 2006

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Metzler, R., Reisner, W., Riehn, R., Austin, R., Tegenfeldt, J. O., & Sokolov, I. M. (2006). Diffusion mechanisms of localised knots along a polymer. Europhysics Letters, 76(4), 696-702. https://doi.org/10.1209/epl/i2006-10312-5