Solitons in the Peyrard–Bishop model of DNA and the Renormalization Group method
- NázevTitle
- Solitons in the Peyrard–Bishop model of DNA and the Renormalization Group methodSolitons in the Peyrard–Bishop model of DNA and the Renormalization Group method
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- F. Blaschke, P. Beneš, O. Nicolas Karpíšek
- Klíčová slovaKeywords
- Peyrard–Bishop model, exact solutions, BPS limit, DNA, renormalization group, Solitons
- DOIDOI
- 10.1093/ptep/ptaa073
- Časopis / citaceJournal / citation
- Progress of Theoretical and Experimental Physics 2020(6), 063J02 (2020) · ISSN 2050-3911
- RokYear
- 2020
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- Inženýrské aplikace fyziky mikrosvětaEngineering applications of microworld physics
- CitovánoCited by
- 3 (OpenAlex)
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
We investigate solitons in Peyrard-Bishop model of 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 solution for the continuous model. Further, we discuss reliability of the solitonic solutions and argue that the envelope should propagate with a group velocity contrary to previous proposals.
We investigate solitons in Peyrard-Bishop model of 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 solution for the continuous model. Further, we discuss reliability of the solitonic solutions and argue that the envelope should propagate with a group velocity contrary to previous proposals.