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Kittel's molecular zipper model on Cayley trees.
- Source :
-
Reviews in Mathematical Physics . Feb2024, Vol. 36 Issue 1, p1-13. 13p. - Publication Year :
- 2024
-
Abstract
- Kittel's 1D model represents a natural DNA with two strands as a (molecular) zipper, which may be separated as the temperature is varied. We define multidimensional version of this model on a Cayley tree and study the set of Gibbs measures. We reduce description of Gibbs measures to solving of a nonlinear functional equation, with unknown functions (called boundary laws) defined on vertices of the Cayley tree. Each boundary law defines a Gibbs measure. We give a general formula of free energy depending on the boundary law. Moreover, we find some concrete boundary laws and corresponding Gibbs measures. Explicit critical temperature for occurrence of a phase transition (non-uniqueness of Gibbs measures) is obtained. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0129055X
- Volume :
- 36
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Reviews in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 175010068
- Full Text :
- https://doi.org/10.1142/S0129055X23500344