國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Spectral approach to transport probl...

Kostadinova, Evdokiya Georgieva.

Spectral approach to transport problems in two-dimensional disordered latticesphysical interpretation and applications /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Spectral approach to transport problems in two-dimensional disordered latticesby Evdokiya Georgieva Kostadinova.
其他題名:	physical interpretation and applications /
作者:	Kostadinova, Evdokiya Georgieva.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xiii, 107 p. :ill. (some color), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Lattice dynamics.
電子資源:	https://doi.org/10.1007/978-3-030-02212-9
ISBN:	9783030022129$q(electronic bk.)

Spectral approach to transport problems in two-dimensional disordered latticesphysical interpretation and applications /
Kostadinova, Evdokiya Georgieva.

Spectral approach to transport problems in two-dimensional disordered latticesphysical interpretation and applications /[electronic resource] :by Evdokiya Georgieva Kostadinova. - Cham :Springer International Publishing :2018. - xiii, 107 p. :ill. (some color), digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

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. Transport in 2D Complex Plasma Crystals -- Chapter7. Conclusions.

This thesis 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.

ISBN: 9783030022129$q(electronic bk.)

Standard No.: 10.1007/978-3-030-02212-9doiSubjects--Topical Terms:

247385
Lattice dynamics.

LC Class. No.: QC176.8.L3 / K678 2018

Dewey Class. No.: 530.411

Spectral approach to transport problems in two-dimensional disordered latticesphysical interpretation and applications /
LDR:03075nmm a2200337 a 4500 001 546917
003 DE-He213
005 20190513163353.0
006 m d
007 cr nn 008maaau
008 190627s2018 gw s 0 eng d
020 $a 9783030022129$q(electronic bk.)
020 $a 9783030022112$q(paper)
024 7 $a 10.1007/978-3-030-02212-9 $2 doi
035 $a 978-3-030-02212-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC176.8.L3 $b K678 2018
072 7 $a PHF $2 bicssc
072 7 $a SCI077000 $2 bisacsh
072 7 $a PHF $2 thema
082 0 4 $a 530.411 $2 23
090 $a QC176.8.L3 $b K86 2018
100 1 $a Kostadinova, Evdokiya Georgieva. $3 826028
245 1 0 $a Spectral approach to transport problems in two-dimensional disordered lattices $h [electronic resource] : $b physical interpretation and applications / $c by Evdokiya Georgieva Kostadinova.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 107 p. : $b ill. (some color), digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5053
505 0 $a 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. Transport in 2D Complex Plasma Crystals -- Chapter7. Conclusions.
520 $a This thesis 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.
650 0 $a Lattice dynamics. $3 247385
650 0 $a Nanoelectronics. $3 308072
650 1 4 $a Condensed Matter Physics. $3 376278
650 2 4 $a Mathematical Methods in Physics. $3 273796
650 2 4 $a Plasma Physics. $3 376276
650 2 4 $a Statistical Physics and Dynamical Systems. $3 760415
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Partial Differential Equations. $3 274075
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer theses. $3 557607
856 4 0 $u https://doi.org/10.1007/978-3-030-02212-9
950 $a Physics and Astronomy (Springer-11651)