From Hamiltonians To Phase Diagrams
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From Hamiltonians To Phase Diagrams
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Author : Jürgen Hafner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
From Hamiltonians To Phase Diagrams written by Jürgen Hafner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The development of the modern theory of metals and alloys has coincided with great advances in quantum-mechanical many-body theory, in electronic structure calculations, in theories of lattice dynamics and of the configura tional thermodynamics of crystals, in liquid-state theory, and in the theory of phase transformations. For a long time all these different fields expanded quite independently, but now their overlap has become sufficiently large that they are beginning to form the basis of a comprehensive first-principles the ory of the cohesive, structural, and thermodynamical properties of metals and alloys in the crystalline as well as in the liquid state. Today, we can set out from the quantum-mechanical many-body Hamiltonian of the system of electrons and ions, and, following the path laid out by generations of the oreticians, we can progress far enough to calculate a pressure-temperature phase diagram of a metal or a composition-temperature phase diagram of a binary alloy by methods which are essentially rigorous and from first prin ciples. This book was written with the intention of confronting the materials scientist, the metallurgist, the physical chemist, but also the experimen tal and theoretical condensed-matter physicist, with this new and exciting possibility. Of course there are limitations to such a vast undertaking as this. The selection of the theories and techniques to be discussed, as well as the way in which they are presented, are necessarily biased by personal inclination and personal expertise.
From Hamiltonians To Phase Diagrams
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Author : Jürgen Hafner
language : en
Publisher:
Release Date : 1987-09-11
From Hamiltonians To Phase Diagrams written by Jürgen Hafner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-09-11 with categories.
Theory Of Phase Transitions
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Author : Ya. G. Sinai
language : en
Publisher: Elsevier
Release Date : 2014-05-20
Theory Of Phase Transitions written by Ya. G. Sinai and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-20 with Science categories.
Theory of Phase Transitions: Rigorous Results is inspired by lectures on mathematical problems of statistical physics presented in the Mathematical Institute of the Hungarian Academy of Sciences, Budapest. The aim of the book is to expound a series of rigorous results about the theory of phase transitions. The book consists of four chapters, wherein the first chapter discusses the Hamiltonian, its symmetry group, and the limit Gibbs distributions corresponding to a given Hamiltonian. The second chapter studies the phase diagrams of lattice models that are considered at low temperatures. The notions of a ground state of a Hamiltonian and the stability of the set of the ground states of a Hamiltonian are also introduced. Chapter 3 presents the basic theorems about lattice models with continuous symmetry, and Chapter 4 focuses on the second-order phase transitions and on the theory of scaling probability distributions, connected to these phase transitions. Specialists in statistical physics and other related fields will greatly benefit from this publication.
Understanding Quantum Phase Transitions
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Author : Lincoln Carr
language : en
Publisher: CRC Press
Release Date : 2010-11-02
Understanding Quantum Phase Transitions written by Lincoln Carr and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-02 with Science categories.
Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit
Quantum Ising Phases And Transitions In Transverse Ising Models
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Author : Sei Suzuki
language : en
Publisher: Springer
Release Date : 2012-12-14
Quantum Ising Phases And Transitions In Transverse Ising Models written by Sei Suzuki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-14 with Science categories.
Quantum phase transitions, driven by quantum fluctuations, exhibit intriguing features offering the possibility of potentially new applications, e.g. in quantum information sciences. Major advances have been made in both theoretical and experimental investigations of the nature and behavior of quantum phases and transitions in cooperatively interacting many-body quantum systems. For modeling purposes, most of the current innovative and successful research in this field has been obtained by either directly or indirectly using the insights provided by quantum (or transverse field) Ising models because of the separability of the cooperative interaction from the tunable transverse field or tunneling term in the relevant Hamiltonian. Also, a number of condensed matter systems can be modeled accurately in this approach, hence granting the possibility to compare advanced models with actual experimental results. This work introduces these quantum Ising models and analyses them both theoretically and numerically in great detail. With its tutorial approach the book addresses above all young researchers who wish to enter the field and are in search of a suitable and self-contained text, yet it will also serve as a valuable reference work for all active researchers in this area.
Biologically Inspired Physics
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Author : L. Peliti
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Biologically Inspired Physics written by L. Peliti and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
The workshop "Biologically Inspired Physics" was organized, with the support of the NATO Scientific Affairs Division and the Directorate-General for Science, Research and Development of the Commission of the European Communities, in order to review some subjects of physics of condensed matter which are inspired by biological problems or deal with biological systems, but which address physical questions. The main topics discussed in the meeting were: 1. Macromolecules: In particular, proteins and nucleic acids. Special emphasis was placed on modelling protein folding, where analogies with disordered systems in con densed matter (glasses, spin glasses) were suggested. It is not clear at this point whether such analogies will help in solving the folding problem. Interesting problems in nucleic acids (in particular DNA) deal with the dynamics of semiflexible chains with torsion and the relationship between topology and local structure. They arise from such biological problems as DNA packing or supercoiling. 2. Membranes: This field has witnessed recent progress in the understanding of the statistical mechanics of fluctuating flexible sheets, such as lipid bilayers. It appears that one is close to understanding shape fluctuations in red blood cells on a molec ular basis. Open problems arise from phenomena such as budding or membrane fusion. Experiments on model systems, such as vesicle systems or artificial lipids, have great potential. Phenomena occurring inside the membrane (protein diffusion, ionic pumps) were only discussed briefly.
Integral Systems Solid State Physics And Theory Of Phase Transitions
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Author : V. V. Dodonov
language : en
Publisher: Nova Publishers
Release Date : 1991
Integral Systems Solid State Physics And Theory Of Phase Transitions written by V. V. Dodonov and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Group theory categories.
New Theoretical Approaches To Strongly Correlated Systems
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Author : Alexei M. Tsvelik
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
New Theoretical Approaches To Strongly Correlated Systems written by Alexei M. Tsvelik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
For many years, the physics of strongly correlated systems was considered a theorists' playground, right at the border with pure mathematics, where physicists from the `real world' did not venture. The time has come, however, when healthy physics cannot exist without these techniques and results. Lectures on selected topics in the theory of strongly correlated systems are here presented by the leading experts in the field. Topics covered include a use of the form factor approach in low-dimensional systems, applications of quantum field theory to disorder, and dynamical mean field theory. The main divisions of the book deal with: I) Quantum Critical Points; (II) Strongly Correlated One-Dimensional Systems; (III) Strong Correlations and Disorder; and (IV) Dynamical Mean Field Theory.
Crystals Defects And Microstructures
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Author : Rob Phillips
language : en
Publisher: Cambridge University Press
Release Date : 2001-02-22
Crystals Defects And Microstructures written by Rob Phillips and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-02-22 with Mathematics categories.
Examines the advances made in the field in recent years and looks at the various methods now used; ideal for graduate students and researchers.
Introduction To Topological Quantum Matter Quantum Computation
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Author : Tudor D. Stanescu
language : en
Publisher: CRC Press
Release Date : 2016-12-19
Introduction To Topological Quantum Matter Quantum Computation written by Tudor D. Stanescu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-19 with Science categories.
What is "topological" about topological quantum states? How many types of topological quantum phases are there? What is a zero-energy Majorana mode, how can it be realized in a solid state system, and how can it be used as a platform for topological quantum computation? What is quantum computation and what makes it different from classical computation? Addressing these and other related questions, Introduction to Topological Quantum Matter & Quantum Computation provides an introduction to and a synthesis of a fascinating and rapidly expanding research field emerging at the crossroads of condensed matter physics, mathematics, and computer science. Providing the big picture, this book is ideal for graduate students and researchers entering this field as it allows for the fruitful transfer of paradigms and ideas amongst different areas, and includes many specific examples to help the reader understand abstract and sometimes challenging concepts. It explores the topological quantum world beyond the well-known topological insulators and superconductors and emphasizes the deep connections with quantum computation. It addresses key principles behind the classification of topological quantum phases and relevant mathematical concepts and discusses models of interacting and noninteracting topological systems, such as the torric code and the p-wave superconductor. The book also covers the basic properties of anyons, and aspects concerning the realization of topological states in solid state structures and cold atom systems. Quantum computation is also presented using a broad perspective, which includes fundamental aspects of quantum mechanics, such as Bell's theorem, basic concepts in the theory of computation, such as computational models and computational complexity, examples of quantum algorithms, and elements of classical and quantum information theory.