Refine
Has Fulltext
- yes (2) (remove)
Document Type
- Master's Thesis (1)
- Part of Periodical (1)
Is part of the Bibliography
- yes (2) (remove)
Keywords
- Unordnung (2) (remove)
Institute
In this thesis, the properties of nonlinear disordered one dimensional lattices is investigated. Part I gives an introduction to the phenomenon of Anderson Localization, the Discrete Nonlinear Schroedinger Equation and its properties as well as the generalization of this model by introducing the nonlinear index α. In Part II, the spreading behavior of initially localized states in large, disordered chains due to nonlinearity is studied. Therefore, different methods to measure localization are discussed and the structural entropy as a measure for the peak structure of probability distributions is introduced. Finally, the spreading exponent for several nonlinear indices is determined numerically and compared with analytical approximations. Part III deals with the thermalization in short disordered chains. First, the term thermalization and its application to the system in use is explained. Then, results of numerical simulations on this topic are presented where the focus lies especially on the energy dependence of the thermalization properties. A connection with so-called breathers is drawn.
-Eberhard Knobloch: Alexander von Humboldts unbekannter Briefwechsel mit Ludwig August von Buch
-Tobias Kraft und Ulrich Päßler: Das Ganze erfassen. Dem Alexander-von-Humboldt-Forscher Eberhard Knobloch zum 80. Geburtstag
-Ottmar Ette: Vor und nach der „glücklichen Revolution“. Langsdorff, die Berliner Debatte um die Neue Welt und ihre Folgen für die wissenschaftlichen Expeditionen
-Carmen Götz: Die (Un-)Ordnung des Schreibens. Der Index général und die Amerikanischen Reisetagebücher
-Ingo Schwarz: „Jedes ernste wissenschaftliche Streben ist ehrenwert.“ Carl Friedrich von Klödens Rezension des Kosmos von Alexander von Humboldt (1845)
-Tobias Kraft und Ulrich Päßler: Schriftenverzeichnis: Publikationen von Eberhard Knobloch zu Alexander von Humboldt
-Eberhard Knobloch: Alexander von Humboldts Naturgemälde der Anden