Solitons in Peyrard-Bishop model of DNA and the Renormalization group method
Biological Physics
2020-04-23 v1 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2004.10308,
title = {Solitons in Peyrard-Bishop model of DNA and the Renormalization group method},
author = {Filip Blaschke and Ondřej Nicolas Karpíšek and Petr Beneš},
journal= {arXiv preprint arXiv:2004.10308},
year = {2020}
}
Comments
12 pages, 8 figure; accepted for publication in Progress of Theoretical and Experimental Physics