The Fermi-Pasta-Ulam paradox, Anderson Localization problem and the generalized diffusion approach
| dc.creator | Kuzovkov, V. N. | |
| dc.date | 2008-11-12 | |
| dc.date.accessioned | 2026-07-07T10:17:40Z | |
| dc.date.available | 2026-07-07T10:17:40Z | |
| dc.description | The goal of this paper is two-fold. First, based on the interpretation of a quantum tight-binding model in terms of a classical Hamiltonian map, we consider the Anderson localization (AL) problem as the Fermi-Pasta-Ulam (FPU) effect in a modified dynamical system containing both stable and unstable (inverted) modes. Delocalized states in the AL are analogous to the stable quasi-periodic motion in FPU; whereas localized states are analogous to thermalization, respectively. The second aim is to use the classical Hamilton map for a simplified derivation of \textit{exact} equations for the localization operator $H(z)$. The letter was presented earlier [J.Phys.: Condens. Matter {\bf 14} (2002) 13777] treating the AL as a generalized diffusion in a dynamical system. We demonstrate that counter-intuitive results of our studies of the AL are similar to the FPU counter-intuitivity. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/0811.1832 | |
| dc.identifier | http://arxiv.org/abs/0811.1832 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173934 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | The Fermi-Pasta-Ulam paradox, Anderson Localization problem and the generalized diffusion approach | |
| dc.type | text |