Variety of scaling laws for DNA thermal denaturation

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We discuss possible mechanisms that may impact the order of the transition between denaturated and bound DNA states and lead to changes in the scaling laws that govern conformational properties of DNA strands. To this end, we re-consider the Poland–Scheraga model and apply a polymer field theory approach to calculate entropic exponents associated with the denaturated loop distribution. We discuss in particular variants of this transition that may occur due to the properties of the solution and may affect the self- and mutual interaction of both single and double strands. We find that the effects studied significantly influence the strength of the first order transition. This is manifested in particular by the changes in the scaling laws that govern DNA loop and strand distribution. As a quantitative measure of these changes we present the values of corresponding scaling exponents. For the d=4−ε case we get corresponding ε4 expansions and evaluate the perturbation theory expansions at space dimension d=3 by means of resummation technique.

Original languageEnglish
Article number125917
JournalPhysica A: Statistical Mechanics and its Applications
Early online date17 Mar 2021
Publication statusPublished - 1 Jul 2021

Bibliographical note

Funding Information:
Details of our calculations together with analysis of the case will be a subject of a separate publication [33] . We acknowledge useful discussions with Maxym Dudka and Ralph Kenna. This work was supported in part by the National Academy of Sciences of Ukraine, project KPKBK 6541230.

Publisher Copyright:
© 2021 Elsevier B.V.

Copyright 2021 Elsevier B.V., All rights reserved.


  • DNA denaturation
  • Scaling exponents
  • ε-expansion

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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