The Recursion Method and Its Applications

The Recursion Method and Its Applications PDF Author: D.G. Pettifor
Publisher: Springer Science & Business Media
ISBN: 3642824447
Category : Science
Languages : en
Pages : 185

Get Book Here

Book Description
This volume reviews recent advances in the development and application of the recursion method in computational solid state physics and elsewhere. It comprises the invited papers which were presented at a two-day conference at Imperial College, London during September 1984. The recursion method is based on the Lanczos algorithm for the tridiago nalisation of matrices, but it is much more than a straightforward numerical technique. It is widely regarded as the most elegant framework for a variety of calculations into which one may incorporate physical insights and a num ber of technical devices. The standard reference is Volume 35 of Solid State Physics, which contains all the early ideas of Heine, Haydock and others, upon which the method was established. The present volume provides the first review of subsequent developments. It also indicates where problems remain, or opinions differ, in the interpretation of the mathematical details or choice of practical techniques in applications. The field is still very li vely and much remains to be done, as the summary chapter clearly demonstra tes. We are grateful to the S. E. R. C. 's Collaborative Computational Project No. 9 on the electronic structure of solids and the Institute of Physics's Solid State Sub-committee for their sponsorship of the conference. We thank Angus MacKinnon for his help in conference organisation and Jacyntha Crawley for secretarial assistance. December 1984 David G. Pettifor Denis L. Weaire v Contents Part I Introduction Why Recur? By V.

Keller-Box Method and Its Application

Keller-Box Method and Its Application PDF Author: Kuppalapalle Vajravelu
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110271788
Category : Science
Languages : en
Pages : 414

Get Book Here

Book Description
Most of the problems arising in science and engineering are nonlinear. They are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of the Keller-box method to nonlinear problems. The first half of the book addresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authors give a number of examples of coupled nonlinear problems that have been solved by means of the Keller-box method. The particular area of focus is on fluid flow problems governed by nonlinear equation.

Spectroscopy of Mott Insulators and Correlated Metals

Spectroscopy of Mott Insulators and Correlated Metals PDF Author: Atsushi Fujimori
Publisher: Springer Science & Business Media
ISBN: 3642578349
Category : Technology & Engineering
Languages : en
Pages : 272

Get Book Here

Book Description
Extensive studies of high-Tc cuprate superconductors have stimualted investigations into various transition-metal oxides. Mott transitions in particular provide fascinating problems and new concepts in condensed matter physics. This book is a collection of overviews by well-known, active researchers in this field. It deals with the latest developments, with particular emphasis on the theoretical, spectroscopic, and transport aspects.

Two-Dimensional Coulomb Liquids and Solids

Two-Dimensional Coulomb Liquids and Solids PDF Author: Yuriy Monarkha
Publisher: Springer Science & Business Media
ISBN: 3662106396
Category : Science
Languages : en
Pages : 357

Get Book Here

Book Description
This coherent monograph describes and explains quantum phenomena in two-dimensional (2D) electron systems with extremely strong internal interactions, which cannot be described by the conventional Fermi-liquid approach. The central physical objects considered are the 2D Coulomb liquid, of which the average Coulomb interaction energy per electron is much higher than the mean kinetic energy, and the Wigner solid. The text provides a new and comprehensive review of the remarkable properties of Coulomb liquids and solids formed on the free surface of liquid helium and other interfaces. This book is intended for graduate students and researchers in the fields of quantum liquids, electronic properties of 2D systems, and solid-state physics. It includes different levels of sophistication so as to be useful for both theorists and experimentalists. The presentation is largely self-contained, and also describes some instructive examples that will be of general interest to solid-state physicists.

Nanoscale Phase Separation and Colossal Magnetoresistance

Nanoscale Phase Separation and Colossal Magnetoresistance PDF Author: Elbio Dagotto
Publisher: Springer Science & Business Media
ISBN: 366205244X
Category : Science
Languages : en
Pages : 465

Get Book Here

Book Description
The study of the spontaneous formation of nanostructures in single crystals of several compounds is now a major area of research in strongly correlated electrons. These structures appear to originate in the competition of phases. The book addresses nanoscale phase separation, focusing on the manganese oxides known as manganites that have the colossal magnetoresistance (CMR) effect of potential relevance for device applications. It is argued that the nanostructures are at the heart of the CMR phenomenon. The book contains updated information on manganite research directed to experts, both theorists and experimentalists. However, graduate students or postdocs will find considerable introductory material, including elements of computational physics.

Magnetic Flux Structures in Superconductors

Magnetic Flux Structures in Superconductors PDF Author: R.P. Huebener
Publisher: Springer Science & Business Media
ISBN: 3662084465
Category : Technology & Engineering
Languages : en
Pages : 324

Get Book Here

Book Description
This second edition has been brought up to date by the inclusion of an extensive new chapter on aspects relevant to high-temperature superconductors. The new edition provides researchers, engineers and other scientists with an introduction to the field and makes useful supplementary reading for graduate students in low-temperature physics.

Electrodynamics of Magnetoactive Media

Electrodynamics of Magnetoactive Media PDF Author: Israel D. Vagner
Publisher: Springer Science & Business Media
ISBN: 3662069415
Category : Science
Languages : en
Pages : 436

Get Book Here

Book Description
The main part of the book describes the behaviour of a charged particle in an electromagnetic field, and the electrodynamics of plasmas, liquid crystals and superconductors. These very different subjects have an important common feature, namely the fundamental role played by the magnetic field. Plasmas, liquid crystals and superconductors can be considered as magnetoactive media, because their electromagnetic characteristics are strongly affected by an external magnetic field.

Physical Properties of Quasicrystals

Physical Properties of Quasicrystals PDF Author: Zbigniew M. Stadnik
Publisher: Springer Science & Business Media
ISBN: 3642584349
Category : Science
Languages : en
Pages : 450

Get Book Here

Book Description
Quasicrystals are a new form of the solid state which differ from the other two known forms, crystalline and amorphous, by possesing a new type of long-range translational order, called quasiperiodicty, and a noncrystallographic orientational order. This book provides an up-to-date description of the unusual physical properties of these new materials. Emphasis is placed on the experimental results, which are compared with those of the corresponding crystalline and amorphous systems and discussed in terms of modern theoretical models. Written by leading authorities in the field, the book will be of great use both to experienced workers in the field and to uninitiated graduate students.

Fractal Concepts in Condensed Matter Physics

Fractal Concepts in Condensed Matter Physics PDF Author: Tsuneyoshi Nakayama
Publisher: Springer Science & Business Media
ISBN: 3662051931
Category : Science
Languages : en
Pages : 216

Get Book Here

Book Description
Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.

Vortices in Unconventional Superconductors and Superfluids

Vortices in Unconventional Superconductors and Superfluids PDF Author: R.P. Huebener
Publisher: Springer Science & Business Media
ISBN: 3662046652
Category : Technology & Engineering
Languages : en
Pages : 369

Get Book Here

Book Description
Presents a modern treatment of the physics of vortex matter, mainly applied to unconventional superconductors and superfluids but with extensions to other areas of physics.