corner
corner
APS » Journals » Phys. Rev. E » Volume 74 » Issue 4
< Previous Article | Next Article >

Phys. Rev. E 74, 041602 (2006) [4 pages]

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

Download: PDF (536 kB) Buy this article Export: BibTeX or EndNote (RIS)

Padinhateeri Ranjith* and John F. Marko†
Department of Physics, University of Illinois at Chicago, 845 West Taylor Street, Chicago, Illinois 60607, USA

Received 19 April 2006; published 13 October 2006

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.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.74.041602
DOI:
10.1103/PhysRevE.74.041602
PACS:
68.43.Mn, 82.39.−k

*Electronic address: ranjith@uic.edu

†Present address: Departments of Physics and Astronomy, and Biochemistry, Molecular Biology and Cell Biology, North-western University, Evanston, IL 60208. Electronic address: jmarko@uic.edu

 
< Previous Article | Next Article >