article · 09/11/2015
Contact Kinetics in Fractal Macromolecules
Résumé
We consider the kinetics of first contact between two monomers of the same macromolecule. Relying on a fractal description of the macromolecule, we develop an analytical method to compute the mean first contact time for various molecular sizes. In our theoretical description, the non-Markovian feature of monomer motion, arising from the interactions with the other monomers, is captured by accounting for the nonequilibrium conformations of the macromolecule at the very instant of first contact. This analysis reveals a simple scaling relation for the mean first contact time between two monomers, which involves only their equilibrium distance and the spectral dimension of the macromolecule, independently of its microscopic details. Our theoretical predictions are in excellent agreement with numerical stochastic simulations.
Citer cet article
Dolgushev, M., Guerin, T., Blumen, A., Benichou, O., & Voituriez, R. (2015). Contact Kinetics in Fractal Macromolecules. PHYSICAL REVIEW LETTERS, 115(20). https://doi.org/10.1103/PhysRevLett.115.208301@article{Dolgushev2015_191,
author = {Dolgushev, Maxim and Guerin, Thomas and Blumen, Alexander and Benichou, Olivier and Voituriez, Raphael},
year = {2015},
month = {11},
title = {Contact Kinetics in Fractal Macromolecules},
journal = {PHYSICAL REVIEW LETTERS},
volume = {115},
number = {20},
abstract = {We consider the kinetics of first contact between two monomers of the same macromolecule. Relying on a fractal description of the macromolecule, we develop an analytical method to compute the mean first contact time for various molecular sizes. In our theoretical description, the non-Markovian feature of monomer motion, arising from the interactions with the other monomers, is captured by accounting for the nonequilibrium conformations of the macromolecule at the very instant of first contact. This analysis reveals a simple scaling relation for the mean first contact time between two monomers, which involves only their equilibrium distance and the spectral dimension of the macromolecule, independently of its microscopic details. Our theoretical predictions are in excellent agreement with numerical stochastic simulations.},
url = {http://www.dx.doi.org/10.1103/PhysRevLett.115.208301},
doi = {10.1103/PhysRevLett.115.208301},
issn = {0031-9007},
}TY - JOUR
AU - Dolgushev, Maxim
AU - Guerin, Thomas
AU - Blumen, Alexander
AU - Benichou, Olivier
AU - Voituriez, Raphael
PY - 2015
DA - 2015/11/09
TI - Contact Kinetics in Fractal Macromolecules
JO - PHYSICAL REVIEW LETTERS
VL - 115
IS - 20
SN - 0031-9007
AB - We consider the kinetics of first contact between two monomers of the same macromolecule. Relying on a fractal description of the macromolecule, we develop an analytical method to compute the mean first contact time for various molecular sizes. In our theoretical description, the non-Markovian feature of monomer motion, arising from the interactions with the other monomers, is captured by accounting for the nonequilibrium conformations of the macromolecule at the very instant of first contact. This analysis reveals a simple scaling relation for the mean first contact time between two monomers, which involves only their equilibrium distance and the spectral dimension of the macromolecule, independently of its microscopic details. Our theoretical predictions are in excellent agreement with numerical stochastic simulations.
DO - 10.1103/PhysRevLett.115.208301
UR - http://www.dx.doi.org/10.1103/PhysRevLett.115.208301
ER -