Maqola

Holliday junctions in the set of DNA molecules for new translation-invariant Gibbs measures of the Potts model

N. M. KhatamovRomanovsky Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, Tashkent, UzbekistanN.N. MalikovNamangan State University, Namangan, Uzbekistan

Theoretical and Mathematical Physicsjournal2024en

ABI

Annotatsiya

We consider a DNA molecule as a configuration of the Potts model on paths of the Cayley tree. For this model, we study new translation-invariant Gibbs measures. We find exact values of the parameter establishing the uniqueness of translation-invariant Gibbs measures. Each such measure describes the state (phase) of a set of DNA molecules. These Gibbs measures are used to study probability distributions of the Holliday junctions in the DNA molecules.

Mavzular

Theoretical and Computational Physics Spectroscopy and Quantum Chemical Studies Diffusion and Search Dynamics

Identifikatorlar

DOI: 10.1134/s0040577924020119

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