Solitons in the Peyrard–Bishop model of DNA and the Renormalization Group method-Reference-Cited by-同舟云学术

Solitons in the Peyrard–Bishop model of DNA and the Renormalization Group method

Published:2020-06-01 Issue:6 Volume:2020 Page:
ISSN:2050-3911
Container-title:Progress of Theoretical and Experimental Physics
language:en
Short-container-title:

Author:

Blaschke Filip¹²,Karpíšek Ondřej Nicolas³,Beneš Petr²

Affiliation:

1. Research Centre of Theoretical Physics and Astrophysics, Institute of Physics, Silesian University in Opava, Bezručovo náměstí 1150/13, 746 01 Opava, Czech Republic

2. Institute of Experimental and Applied Physics, Czech Technical University in Prague, Husova 240/5, 110 00 Prague 1, Czech Republic

3. Institute of Physics, Silesian University in Opava, Bezručovo náměstí 1150/13, 746 01 Opava, Czech Republic

Abstract

Abstract We investigate solitons in the Peyrard–Bishop model of a DNA molecule using Renormalization Group methods which provide a systematic way for perturbation analysis. Small amplitude expansion is carried out in both the continuous and discrete limits. We review exact solutions for the continuous model. Further, we discuss the reliability of the solitonic solutions and argue that the envelope should propagate with a group velocity, contrary to previous proposals.

Publisher

Oxford University Press (OUP)

Subject

General Physics and Astronomy

Link

http://academic.oup.com/ptep/article-pdf/2020/6/063J02/33403879/ptaa073.pdf

Reference15 articles.

1. Statistical mechanics of a nonlinear model for DNA denaturation

2. Nature of the open state in long polynucleotide double helices: possibility of soliton excitations.

3. Bubble Formation in Helicoidal DNA Molecules

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