Filling of the one-dimensional lattice by k -mers proceeds via fast power-law-like kinetics

Padinhateeri Ranjith*, John F Marko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

During the filling of a one-dimensional lattice by k -site-long hard particles, we find that after initial “jamming†a power-law-like decay of the density of interparticle gaps occurs, described by a much larger exponent than that expected from mean-field theory. We show that this effect dominates post-jamming filling for large k and should be observable, e.g., during the binding of proteins along a long, stretched DNA molecule.

Original languageEnglish (US)
Article number041602
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume74
Issue number4
DOIs
StatePublished - Oct 23 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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