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Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Oct;74(4 Pt 1):041602. Epub 2006 Oct 13.

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

Author information

1
Department of Physics, University of Illinois at Chicago, 845 West Taylor Street, Chicago, Illinois 60607, USA. ranjith@uic.edu

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.

PMID:
17155065
DOI:
10.1103/PhysRevE.74.041602

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