BLASCHKE, Filip, Ondřej Nicolas KARPÍŠEK and Petr BENES. Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method. Progress of Theoretical and Experimental Physics. 2020, vol. 2020, No 6, p. "063J02-1"-"063J02-21", 21 pp. ISSN 2050-3911. Available from: https://dx.doi.org/10.1093/ptep/ptaa073. |
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@article{49389, author = {Blaschke, Filip and Karpíšek, Ondřej Nicolas and Benes, Petr}, article_number = {6}, doi = {http://dx.doi.org/10.1093/ptep/ptaa073}, keywords = {Peyrard-Bishop model}, language = {eng}, issn = {2050-3911}, journal = {Progress of Theoretical and Experimental Physics}, title = {Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method}, url = {https://academic.oup.com/ptep/article/2020/6/063J02/5859516}, volume = {2020}, year = {2020} }
TY - JOUR ID - 49389 AU - Blaschke, Filip - Karpíšek, Ondřej Nicolas - Benes, Petr PY - 2020 TI - Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method JF - Progress of Theoretical and Experimental Physics VL - 2020 IS - 6 SP - "063J02-1"-"063J02-21" EP - "063J02-1"-"063J02-21" SN - 20503911 KW - Peyrard-Bishop model UR - https://academic.oup.com/ptep/article/2020/6/063J02/5859516 N2 - 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. ER -
BLASCHKE, Filip, Ondřej Nicolas KARPÍŠEK and Petr BENES. Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method. \textit{Progress of Theoretical and Experimental Physics}. 2020, vol.~2020, No~6, p.~''063J02-1''-''063J02-21'', 21 pp. ISSN~2050-3911. Available from: https://dx.doi.org/10.1093/ptep/ptaa073.
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