First-passage time of cyclization dynamics of a wormlike polymerJ. 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.
© EDP Sciences 2004