Europhys. Lett.
Volume 64, Number 3, November 2003
Page(s) 420 - 426
Section Interdisciplinary physics and related areas of science and technology
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00219-7
Europhys. Lett., 64 (3) , pp. 420-426 (2003)

Diffusion-limited loop formation of semiflexible polymers: Kramers theory and the intertwined time scales of chain relaxation and closing

S. Jun1, J. Bechhoefer1 and B.-Y. Ha2

1  Physics Department, Simon Fraser University - Burnaby, B.C. V5A 1S6, Canada
2  Physics Department, University of Waterloo - Waterloo, Ontario N2L 3G1, Canada

(Received 20 June 2003; accepted in final form 26 August 2003)

We show that Kramers rate theory gives a straightforward, accurate estimate of the closing time $\tau_{\ab{c}}$ of a semiflexible polymer that is valid in cases of physical interest. The calculation also reveals how the time scales of chain relaxation and closing are intertwined, illuminating an apparent conflict between two ways of calculating $\tau_{\ab{c}}$ in the flexible limit.

87.15.He - Dynamics and conformational changes.
82.37.Np - Single molecule reaction kinetics, dissociation, etc.
82.20.Pm - Rate constants, reaction cross sections, and activation energies.

© EDP Sciences 2003