2014/09/30 by Tanmoy Pal, Poulomi Sadhukhan, Somendra M. Bhattacharjee
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · Physics and Astronomy · #Bound state #Chain (unit) #Chemistry #Coupling (piping) #DNA #DNA and Nucleic Acid Chemistry #Flow (mathematics) #Limit (mathematics) #Limit cycle #Materials science #Mathematical analysis #Mathematics #Mechanics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Renormalization group #Spectroscopy and Quantum Chemical Studies #cond-mat.soft #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreve.91.042105
published as Phys. Rev. E 91, 042105 (2015) · 18 pages, 10 figures, almost published version
openalex publication_date 2015/04/07 · arxiv created 2015/04/10 · arxiv updated 2015/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 nonperturbative 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.