Efimov like phase of a three stranded DNA (Efimov-DNA) and the renormalization group limit cycle
Abstract
A three-stranded DNA with short range base pairings only is known to exhibit a classical analog of the quantum Efimov effect, viz., a three chain bound state at the two chain melting point where no two are bound. By using a non-perturbative renormalization group method for a rigid duplex DNA and a flexible third strand, with base pairings and strand exchange, we show that the Efimov-DNA is associated with a limit cycle type behavior of the flow of an effective three chain interaction. The analysis also shows that thermally generated bubbles play an essential role in producing the effect. A toy model for the flow equations shows the limit cycle in an extended three dimensional parameter space of the two-chain coupling and a complex three chain interaction.
Keywords
Cite
@article{arxiv.1409.8127,
title = {Efimov like phase of a three stranded DNA (Efimov-DNA) and the renormalization group limit cycle},
author = {Tanmoy Pal and Poulomi Sadhukhan and Somendra M. Bhattacharjee},
journal= {arXiv preprint arXiv:1409.8127},
year = {2015}
}
Comments
18 pages, 10 figures, almost published version