Diffusion on a one-dimensional lattice and quantum localization
Anno: 1988
Autori: Schneider T., Politi A., Sörensen M.P.
Affiliazione autori: IBM Research Division, Zurich Research Laboratory, 8803 Rüschlikon, Switzerland;
Istituto Nazionale di Ottica, Largo E. fermi 6, 50125 Firenze, Italy;
Lab. of Applied Mathematics and Physics, The technical University of Denmark
Abstract: The problem of diffusion in modulated and random media as described by a master equation is reduced to a discrete Schrödinger equation, and further transformed into a recursive nonlinear map. Short- and long-time diffusion is then discussed in terms of dynamical properties of such a map. Analytical expressions for scaling behavior of the integrated density of states are derived for the top and bottom of the spectrum. The numerical results allow estimation of the scaling region and the corrections to the leading behavior.
Giornale/Rivista: PHYSICAL REVIEW A
Volume: 37 (3) Da Pagina: 948 A: 959
Parole chiavi: Schrödinger equationDOI: 10.1103/PhysRevA.37.948Citazioni: 4dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-05-12Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui