Reactive conformations and non-Markovian cyclization kinetics of a Rouse polymer

作者: T. Guérin , O. Bénichou , R. Voituriez

DOI: 10.1063/1.4792437

关键词:

摘要: We investigate theoretically the physics of diffusion-limited intramolecular polymer reactions. The present work completes and goes beyond a previous study [T. Guerin, O. Benichou, R. Voituriez, Nat. Chem. 4, 568 (2012)10.1038/nchem.1378] that showed distribution conformations at very instant reaction plays key role in cyclization kinetics, takes explicitly into account non-Markovian nature reactant motion. Here, we detail this theory, compare it with existing Markovian theories numerical stochastic simulations. A large focus is made on description non-equilibrium reactive conformations, both analytical tools. show are elongated characterized by spectrum slowly decreasing tail, implying monomers neighbor significantly shifted reaction. complete deri...

参考文章(42)
Paul J. Flory, Principles of polymer chemistry ,(1953)
Shlomo Havlin, Daniel ben-Avraham, Diffusion and Reactions in Fractals and Disordered Systems ,(2000)
Masao Doi, Sam F Edwards, The theory of polymer dynamics Oxford University Press. ,(1986)
M. I. Wallace, L. Ying, S. Balasubramanian, D. Klenerman, Non-Arrhenius kinetics for the loop closure of a DNA hairpin Proceedings of the National Academy of Sciences of the United States of America. ,vol. 98, pp. 5584- 5589 ,(2001) , 10.1073/PNAS.101523498
Attila Szabo, Klaus Schulten, Zan Schulten, First passage time approach to diffusion controlled reactions The Journal of Chemical Physics. ,vol. 72, pp. 4350- 4357 ,(1980) , 10.1063/1.439715
Richard W. Pastor, Robert Zwanzig, Attila Szabo, Diffusion limited first contact of the ends of a polymer: Comparison of theory with simulation The Journal of Chemical Physics. ,vol. 105, pp. 3878- 3882 ,(1996) , 10.1063/1.472208
Xiaojuan Wang, Werner M Nau, None, Kinetics of end-to-end collision in short single-stranded nucleic acids. Journal of the American Chemical Society. ,vol. 126, pp. 808- 813 ,(2004) , 10.1021/JA038263R
J. -F. Allemand, S. Cocco, N. Douarche, G. Lia, Loops in DNA: an overview of experimental and theoretical approaches. European Physical Journal E. ,vol. 19, pp. 293- 302 ,(2006) , 10.1140/EPJE/I2005-10073-Y
Daniel Campos, Vicenç Méndez, Two-point approximation to the Kramers problem with coloured noise. Journal of Chemical Physics. ,vol. 136, pp. 074506- 074506 ,(2012) , 10.1063/1.3685418