Overview
- Nominated as an outstanding PhD thesis by Baylor University
- Gives an accessible introduction to Anderson-type transport problems
- Presents an innovative spectral approach to wave propagation in two dimensional systems
- Develops applications to 2D disordered complex plasma crystals
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (7 chapters)
Keywords
- transport in infinite disordered systems
- Anderson-type Hamiltonians
- delocalization in 2D lattices
- spectral analysis quantum percolation problem
- 2D disordered complex plasma cystals
- complex transport problems
- anderson localization
- discrete random Schroedinger operator
- 2D disordered lattice
- Quantum percolation
- Anomalous transport
- Scaling of Thouless model
- Substitutional disorder
- partial differential equations
About this book
Beginning with a general overview of Anderson-type transport problems and their relevance to physical systems, it goes on to discuss in more detail the most relevant theoretical, numerical, and experimental developments in this field of research. The mathematical formulation of the innovative spectral approach is introduced together with a physical interpretation and discussion of its applicability to physical systems, followed by a numerical study of delocalization in the 2D disordered honeycomb, triangular, and square lattices. Transport in the 2D honeycomb lattice with substitutional disorder is investigated employing a spectral analysis of the quantum percolation problem. Next, the applicability of the method is extended to the classical regime, with an examination of diffusion of lattice waves in 2D disordered complex plasma crystals, along with discussion of proposed future developments in the study of complex transport problems using spectral theory.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices
Book Subtitle: Physical Interpretation and Applications
Authors: Evdokiya Georgieva Kostadinova
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-030-02212-9
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-02211-2Published: 24 December 2018
eBook ISBN: 978-3-030-02212-9Published: 11 December 2018
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XIII, 107
Number of Illustrations: 3 b/w illustrations, 36 illustrations in colour
Topics: Condensed Matter Physics, Mathematical Methods in Physics, Plasma Physics, Statistical Physics and Dynamical Systems, Mathematical Physics, Partial Differential Equations