Efimov-like phase of a three-stranded DNA and the renormalization-group limit cycle
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 fl...
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Veröffentlicht in: | Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2015-04, Vol.91 (4), p.042105-042105, Article 042105 |
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container_title | Physical review. E, Statistical, nonlinear, and soft matter physics |
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creator | Pal, Tanmoy Sadhukhan, Poulomi Bhattacharjee, Somendra M |
description | 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. |
doi_str_mv | 10.1103/PhysRevE.91.042105 |
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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.</description><identifier>ISSN: 1539-3755</identifier><identifier>EISSN: 1550-2376</identifier><identifier>DOI: 10.1103/PhysRevE.91.042105</identifier><identifier>PMID: 25974437</identifier><language>eng</language><publisher>United States</publisher><subject>DNA - chemistry ; Models, Chemical ; Models, Genetic ; Nucleic Acid Conformation ; Polymers - chemistry ; Transition Temperature</subject><ispartof>Physical review. 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subjects | DNA - chemistry Models, Chemical Models, Genetic Nucleic Acid Conformation Polymers - chemistry Transition Temperature |
title | Efimov-like phase of a three-stranded DNA and the renormalization-group limit cycle |
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