2020/07/06 by Nicholas R. Beaton, Aleksander L. Owczarek, A L Owczarek
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Advanced biosensing and bioanalysis techniques #DNA and Nucleic Acid Chemistry #Nanopore and Nanochannel Transport Studies #cond-mat.stat-mech #math-ph #math.CO #math.MP #msc:05A15 #msc:05A16 #msc:82B23 #msc:82B27 #msc:82B41
paper · pdf · doi:10.1016/j.physa.2020.125635
published as Physica A: Statistical Mechanics and its Applications 566 (2021) 125635 · 21 pages, 5 figures
arxiv created 2020/07/06 · openalex created_date 2020/07/10 · openalex publication_date 2020/12/10 · openalex updated_date 2026/07/28 · arxiv updated 2026/08/04
We provide the exact solution of several variants of simple models of the zipping transition of two bound polymers, such as occurs in DNA/RNA, in two and three dimensions using pairs of directed lattice paths. In three dimensions the solutions are written in terms of complete elliptic integrals. We analyse the phase transition associated with each model giving the scaling of the partition function. We also extend the models to include a pulling force between one end of the pair of paths, which competes with the attractive monomer-monomer interactions between the polymers.