Evdokiya Georgieva Kostadinova Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices 9783030022112

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Автор: Evdokiya Georgieva Kostadinova
Название: Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices
ISBN: 9783030022112
Издательство: Springer
Классификация:

Сфера обслуживания

Физика

Материалы / Состояния вещества

Математическая физика

ISBN-10: 3030022110
Обложка/Формат: Hardcover
Страницы: 107
Вес: 0.36 кг.
Дата издания: 2018
Серия: Springer Theses
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 38 tables, color; 36 illustrations, color; 3 illustrations, black and white; xiii, 107 p. 39 illus., 36 illus. in color.
Размер: 234 x 156 x 8
Читательская аудитория: Professional & vocational
Основная тема: Physics
Подзаголовок: Physical Interpretation and Applications
Ссылка на Издательство: Link
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Поставляется из: Германии
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This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered.

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.

Дополнительное описание: Chapter1. Introduction.- Chapter2. Theoretical Background.- Chapter3. Spectral Approach.- Chapter4. Delocalization in 2D Lattices of Various Geometries.- Chapter5. Transport in the Two-Dimentional Honeycomb Lattice with Substitutional Disorder.- Chapter6.

Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices, Evdokiya Georgieva Kostadinova