Holliday junctions for the HC (cycle) Blume-Capel model of DNA

Аннотация

In this article, we look at DNA as a configuration of the Blume-Capel model and insert it in the path of the Cayley tree. To study the thermodynamic properties of the DNA model, we describe the corresponding translational-invariant Gibbs measure (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 Holliday junctions.