2008/06/03 by Guillaume Witz, G. Witz, Kristian Rechendorff +5 · 74 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Engineering · Mathematics · Physics and Astronomy · #Approx #Combinatorics #Conjecture #Curse of dimensionality #Electrostatics and Colloid Interactions #Exponent #Length scale #Mathematics #Molecule #Nanopore and Nanochannel Transport Studies #Physics #Quantum mechanics #Surface and Thin Film Phenomena #q-bio.BM #q-bio.QM
paper · pdf · doi:10.1103/physrevlett.101.148103
published in Physical Review Letters 101(14), 148103 (American Physical Society) · 4 pages, 5 figures
arxiv created 2008/06/03 · openalex publication_date 2008/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The conformation of circular DNA molecules of various lengths adsorbed in a 2D conformation on a mica surface is studied. The results confirm the conjecture that the critical exponent nu is topologically invariant and equal to the self-avoiding walk value (in the present case nu=3/4), and that the topology and dimensionality of the system strongly influence the crossover between the rigid regime and the self-avoiding regime at a scale L approximately 7lp. Additionally, the bond correlation function scales with the molecular length L as predicted. For molecular lengths L<or=5lp, circular DNA behaves like a stiff molecule with an approximately elliptic shape.