Contact Kinetics in Fractal Macromolecules

M. Dolgushev , T. Guerin , A. Blumen , O. Benichou , R. Voituriez

Bibtex , URL
Published 09 Nov. 2015
DOI: 10.1103/PhysRevLett.115.208301
ISSN: 0031-9007


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.

Cette publication est associée à :

Dynamique stochastique des systèmes réactifs et vivants