Nonlocal orientation-dependent dynamics of molecular strands
| dc.creator | Holm, Darryl D. | |
| dc.creator | Putkaradze, Vakhtang | |
| dc.date | 2008-03-12 | |
| dc.date.accessioned | 2026-07-07T09:26:22Z | |
| dc.date.available | 2026-07-07T09:26:22Z | |
| dc.description | Time-dependent Hamiltonian dynamics is derived for a curve (molecular strand) in $\mathbb{R}^3$ that experiences both nonlocal (for example, electrostatic) and elastic interactions. The dynamical equations in the symmetry-reduced variables are written on the dual of the semidirect-product Lie algebra $so(3) \circledS (\mathbb{R}^3\oplus\mathbb{R}^3\oplus\mathbb{R}^3\oplus\mathbb{R}^3)$ with three 2-cocycles. We also demonstrate that the nonlocal interaction produces an interesting new term deriving from the coadjoint action of the Lie group SO(3) on its Lie algebra $so(3)$. The new filament equations are written in conservative form by using the corresponding coadjoint actions. | |
| dc.description | 6 pages, 1 figure, 13 references. Submitted to Compte Rendus Acad Sci. Paris, Math | |
| dc.identifier | https://arxiv.org/abs/0803.1702 | |
| dc.identifier | http://arxiv.org/abs/0803.1702 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156728 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Nonlocal orientation-dependent dynamics of molecular strands | |
| dc.type | text |