Publication : t09/074

Field Theory of the RNA Freezing Transition

David F. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Wiese K.J. (Laboratoire de Physique Théorique (LPT), Ecole Normale Supérieure (ENS), UMR 8549, CNRS, 24 rue Lhomond, F-75005 Paris, FRANCE)
Folding of RNA is subject to a competition between entropy, relevant at high temperatures, and the random, or random looking, sequence, determining the low- temperature phase. It is known from numerical simulations that for random as well as biological sequences, high- and low-temperature phases are different, e.g. the exponent rho describing the pairing probability between two bases is rho = 3/2 in the high-temperature phase, and approximatively 4/3 in the low-temperature (glass) phase. Here, we present, for random sequences, a field theory of the phase transition separating high- and low-temperature phases. We establish the existence of the latter by showing that the underlying theory is renormalizable to all orders in perturbation theory. We test this result via an explicit 2-loop calculation, which yields rho approximatively 1.36 at the transition, as well as diverse other critical exponents, including the response to an applied external force (denaturation transition).
Année de publication : 2009
Revue : J. Stat. Mech. P10019 (2009)
DOI : 10.1088/1742-5468/2009/10/P10019
Preprint : arXiv:0906.1472
Lien :
Numéro Exterieur : LPTENS 09/18
Langue : Anglais

Fichier(s) à télécharger :
  • 1742-5468_2009_10_P10019.pdf
  • publi.pdf


    Retour en haut