Pal, Tanmoy ; Sadhukhan, Poulomi ; Bhattacharjee, Somendra M. (2015) Efimov-like phase of a three-stranded DNA and the renormalization-group limit cycle Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 91 (4). ISSN 1539-3755
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Official URL: http://doi.org/10.1103/PhysRevE.91.042105
Related URL: http://dx.doi.org/10.1103/PhysRevE.91.042105
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 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.
Item Type: | Article |
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Source: | Copyright of this article belongs to The American Physical Society. |
ID Code: | 133919 |
Deposited On: | 02 Jan 2023 10:09 |
Last Modified: | 02 Jan 2023 10:09 |
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