This article is cited in 2 papers

PHYSICS

Holliday junctions in the HC Blume–Capel model in “one case” on DNA

N. M. Khatamov

Institute of mathematics, 4B, St. University, 100174, Tashkent, Uzbekistan

Abstract: We consider a DNA as a configuration of HC Blume–Capel model and embed it on a path of Cayley tree. To study thermodynamic properties of the model of DNAs, we describe the corresponding translation-invariant Gibbs measures (TIGM) of the model on the Cayley tree. It is shown that, for $k\ge2$, for any temperature $T>0$ there is a unique TIGM. Using these results, we study the distributions of the Holliday junctions DNA. For very high and very low temperatures, we give stationary distributions and typical configurations of the Holliday junctions.

Keywords: DNA, Cayley tree, Blume–Capel model, Gibbs measure, Holliday junction.

Received: 23.06.2021
Revised: 30.06.2021

Language: English

DOI: 10.17586/2220-8054-2021-12-5-563-568

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