Thermodynamics of interacting systems of DNA molecules

DOI10.1134/S0040577921020057zbMath1467.81100arXiv2006.13828OpenAlexW3175077080MaRDI QIDQ2036333

Utkir A. Rozikov

Publication date: 29 June 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13828

zbMATH Keywords

temperatureCayley treeGibbs measureDNA

Mathematics Subject Classification ID

Trees (05C05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Protein sequences, DNA sequences (92D20) Spinor and twistor methods applied to problems in quantum theory (81R25) Critical phenomena in equilibrium statistical mechanics (82B27) Molecular physics (81V55) Statistical thermodynamics (82B30)

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

Cites Work

• Description of the translation-invariant splitting Gibbs measures for the Potts model on a Cayley tree
• Description of periodic \(p\)-harmonic functions on Cayley tree
• Gibbs measures and phase transitions
• Tree-hierarchy of DNA and distribution of Holliday junctions
• Holliday junctions for the Potts model of DNA
• Gibbs Measures on Cayley Trees
• Fuzzy transformations and extremality of Gibbs measures for the potts model on a Cayley tree
• On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field
• Unnamed Item