Europhys. Lett.
Volume 65, Number 3, February 2004
Page(s) 407 - 413
Section Interdisciplinary physics and related areas of science and technology
Published online 01 January 2004
Europhys. Lett., 65 (3) , pp. 407-413 (2004)
DOI: 10.1209/epl/i2003-10086-2

First-passage time of cyclization dynamics of a wormlike polymer

J. Z. Y. Chen1, H.-K. Tsao2 and Y.-J. Sheng3

1  Department of Physics, University of Waterloo Waterloo, Ontario, Canada N2L 3G1
2  Department of Chemical and Materials Engineering, National Central University Chungli, Taiwan 320, ROC
3  Department of Chemical Engineering, National Taiwan University Taipei, Taiwan 106, ROC

(Received 25 August 2003; accepted in final form 20 November 2003)

The mean first-passage time of cyclization is investigated for a wormlike polymer chain with reactive ends. Using Monte Carlo simulations we examine the dependence of the mean first-passage time on the total number of monomers N and binding force range. We show that the mean first-passage time exhibits a minimum as N varies and display an exponentially large increase as the chain becomes stiff.

82.35.-x - Polymers: properties; reactions; polymerization.
61.41.+e - Polymers, elastomers, and plastics.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.

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