Holliday junctions in the HC Blume–Capel model in “one case” on DNA
https://doi.org/10.17586/2220-8054-2021-12-5-563-568
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 ≥ 2, 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.
Supporting agencies: The author thanks Professor U. A. Rozikov for his suggestions which were helpful to improve the readability of the paper.
About the Author
N. M. Khatamov
Institute of mathematics
Uzbekistan
Uzbekistan
4B, St. University, 100174, Tashkent
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Review
For citations:
Khatamov N.M. Holliday junctions in the HC Blume–Capel model in “one case” on DNA. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(5):563-568. https://doi.org/10.17586/2220-8054-2021-12-5-563-568
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