Theory of Disordered Solids

Theory of Disordered Solids

Author: Alessio Zaccone

Publisher: Springer Nature

Published: 2023-06-30

Total Pages: 310

ISBN-13: 303124706X

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This book presents a consistent mathematical theory of the non-electronic physical properties of disordered and amorphous solids, starting from the atomic-level dynamics and leading to experimentally verifiable descriptions of macroscopic properties such as elastic and viscoelastic moduli, plasticity, phonons and vibrational spectra, and thermal properties. This theory begins with the assumption of the undeniable existence of an “amorphous lattice”, which allows one to relegate the theoretical uncertainties about the ultimate nature of the glass transition to a subsidiary role and thus take a more pragmatic approach towards the modelling of physical properties. The book introduces the reader not only to the subtle physical concepts underlying the dynamics, mechanics, and statistical physics of glasses and amorphous solids, but also to the essential mathematical and numerical methods that cannot be readily gleaned from specialized literature since they are spread out among many often technically demanding papers. These methods are presented in this book in such a way as to be sufficiently general, allowing for the mathematical or numerical description of novel physical phenomena observed in many different types of amorphous solids (including soft and granular systems), regardless of the atomistic details and particular chemistry of the material. This monograph is aimed at researchers and graduate-level students in physics, materials science, physical chemistry and engineering working in the areas of amorphous materials, soft matter and granular systems, statistical physics, continuum mechanics, plasticity, and solid mechanics. It is also particularly well suited to those working on molecular dynamics simulations, molecular coarse-grained simulations, as well as ab initio atomistic and DFT methods for solid-state and materials science.


Book Synopsis Theory of Disordered Solids by : Alessio Zaccone

Download or read book Theory of Disordered Solids written by Alessio Zaccone and published by Springer Nature. This book was released on 2023-06-30 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a consistent mathematical theory of the non-electronic physical properties of disordered and amorphous solids, starting from the atomic-level dynamics and leading to experimentally verifiable descriptions of macroscopic properties such as elastic and viscoelastic moduli, plasticity, phonons and vibrational spectra, and thermal properties. This theory begins with the assumption of the undeniable existence of an “amorphous lattice”, which allows one to relegate the theoretical uncertainties about the ultimate nature of the glass transition to a subsidiary role and thus take a more pragmatic approach towards the modelling of physical properties. The book introduces the reader not only to the subtle physical concepts underlying the dynamics, mechanics, and statistical physics of glasses and amorphous solids, but also to the essential mathematical and numerical methods that cannot be readily gleaned from specialized literature since they are spread out among many often technically demanding papers. These methods are presented in this book in such a way as to be sufficiently general, allowing for the mathematical or numerical description of novel physical phenomena observed in many different types of amorphous solids (including soft and granular systems), regardless of the atomistic details and particular chemistry of the material. This monograph is aimed at researchers and graduate-level students in physics, materials science, physical chemistry and engineering working in the areas of amorphous materials, soft matter and granular systems, statistical physics, continuum mechanics, plasticity, and solid mechanics. It is also particularly well suited to those working on molecular dynamics simulations, molecular coarse-grained simulations, as well as ab initio atomistic and DFT methods for solid-state and materials science.


Introduction to the Theory of Disordered Systems

Introduction to the Theory of Disordered Systems

Author: Ilʹi͡a Mikhaĭlovich Lifshit͡s

Publisher: Wiley-VCH

Published: 1988-08-03

Total Pages: 488

ISBN-13:

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Focuses on an important aspect of this highly diversified area of condensed state physics: the one-body approximation in the theory of disordered systems. It describes the scope of problems within the framework of this approximation, its use in formulating several basic concepts, and its value in revealing many characteristic features of disordered systems. The book's main focus is on the density of states and the space-time correlation functions, and on their basic thermodynamic and kinetic characteristics. Among the many areas explored are the general properties of the one-body models frequently used and descriptions of selected one-dimensional problems, including closed dynamical equations; these are then used to thoroughly explore the density of states for several systems. In addition, some of the more complex characteristics of one-dimensional disordered systems are examined using the Fokkerr-Planck equations developed earlier in the text. Also includes a description of the general structure of concentration expansions, giving examples of simple applications.


Book Synopsis Introduction to the Theory of Disordered Systems by : Ilʹi͡a Mikhaĭlovich Lifshit͡s

Download or read book Introduction to the Theory of Disordered Systems written by Ilʹi͡a Mikhaĭlovich Lifshit͡s and published by Wiley-VCH. This book was released on 1988-08-03 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on an important aspect of this highly diversified area of condensed state physics: the one-body approximation in the theory of disordered systems. It describes the scope of problems within the framework of this approximation, its use in formulating several basic concepts, and its value in revealing many characteristic features of disordered systems. The book's main focus is on the density of states and the space-time correlation functions, and on their basic thermodynamic and kinetic characteristics. Among the many areas explored are the general properties of the one-body models frequently used and descriptions of selected one-dimensional problems, including closed dynamical equations; these are then used to thoroughly explore the density of states for several systems. In addition, some of the more complex characteristics of one-dimensional disordered systems are examined using the Fokkerr-Planck equations developed earlier in the text. Also includes a description of the general structure of concentration expansions, giving examples of simple applications.


Disordered Solids

Disordered Solids

Author: Baldassare Di Bartolo

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 439

ISBN-13: 1468454757

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This book presents an account of the course "Disordered Solids: Structures and Processes" held in Erice, Italy, from June 15 to 29, 1987. This meeting was organized by the International School of Atomic and Molecular Spectroscopy of the "Ettore Majorana" Centre for Scientific Culture. The objective of this course was to present the advances in physical modelling, mathematical formalism and experimental techniques relevant to the interpretation of the structures of disordered solids and of the physical processes occurring therein. Traditional solid-state physics treats solids as perfect crystals and takes great advantage of their symmetry, by means of such mathematical formalisms as the reciprocal lattice, the Brillouin zone, and the powerful tools of group theory. Even if in reality no solid is a perfect crystal, this theoretical approach has been of great usefulness in describing solids: deviations from perfect order have been treated as perturbations of the ideal model. A new situation arises with truly disordered solids where any vestige of long range order has disappeared. The basic problem is that of describing these systems and gaining a scientific understanding of their physical properties without the mathematical formalism of traditional solid state physics. While some of the old approaches may occasionally remain valid (e. g. chemical bonding approach for amorphous solids), the old ways will not do. Disorder is not a perturbation: with disorder, something basically new may be expected to appear.


Book Synopsis Disordered Solids by : Baldassare Di Bartolo

Download or read book Disordered Solids written by Baldassare Di Bartolo and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of the course "Disordered Solids: Structures and Processes" held in Erice, Italy, from June 15 to 29, 1987. This meeting was organized by the International School of Atomic and Molecular Spectroscopy of the "Ettore Majorana" Centre for Scientific Culture. The objective of this course was to present the advances in physical modelling, mathematical formalism and experimental techniques relevant to the interpretation of the structures of disordered solids and of the physical processes occurring therein. Traditional solid-state physics treats solids as perfect crystals and takes great advantage of their symmetry, by means of such mathematical formalisms as the reciprocal lattice, the Brillouin zone, and the powerful tools of group theory. Even if in reality no solid is a perfect crystal, this theoretical approach has been of great usefulness in describing solids: deviations from perfect order have been treated as perturbations of the ideal model. A new situation arises with truly disordered solids where any vestige of long range order has disappeared. The basic problem is that of describing these systems and gaining a scientific understanding of their physical properties without the mathematical formalism of traditional solid state physics. While some of the old approaches may occasionally remain valid (e. g. chemical bonding approach for amorphous solids), the old ways will not do. Disorder is not a perturbation: with disorder, something basically new may be expected to appear.


Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition)

Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition)

Author: Binder Kurt

Publisher: World Scientific Publishing Company

Published: 2011-01-31

Total Pages: 564

ISBN-13: 9813107537

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This book gives a pedagogical introduction to the physics of amorphous solids and related disordered condensed matter systems. Important concepts from statistical mechanics such as percolation, random walks, fractals and spin glasses are explained. Using these concepts, the common aspects of these systems are emphasized, and the current understanding of the glass transition and the structure of glasses are concisely reviewed. This second edition includes new material on emerging topics in the field of disordered systems such as gels, driven systems, dynamical heterogeneities, growing length scales etc. as well as an update of the literature in this rapidly developing field.


Book Synopsis Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition) by : Binder Kurt

Download or read book Glassy Materials And Disordered Solids: An Introduction To Their Statistical Mechanics (Revised Edition) written by Binder Kurt and published by World Scientific Publishing Company. This book was released on 2011-01-31 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a pedagogical introduction to the physics of amorphous solids and related disordered condensed matter systems. Important concepts from statistical mechanics such as percolation, random walks, fractals and spin glasses are explained. Using these concepts, the common aspects of these systems are emphasized, and the current understanding of the glass transition and the structure of glasses are concisely reviewed. This second edition includes new material on emerging topics in the field of disordered systems such as gels, driven systems, dynamical heterogeneities, growing length scales etc. as well as an update of the literature in this rapidly developing field.


Disordered Solids

Disordered Solids

Author: Baldassare Di Bartolo

Publisher:

Published: 2014-01-15

Total Pages: 452

ISBN-13: 9781468454765

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Book Synopsis Disordered Solids by : Baldassare Di Bartolo

Download or read book Disordered Solids written by Baldassare Di Bartolo and published by . This book was released on 2014-01-15 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Condensed Matter

Condensed Matter

Author: Dr. S. K. Srivastave

Publisher: World Scientific

Published: 1995

Total Pages: 478

ISBN-13: 9789810219246

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This book deals with different aspects of the structure and properties of disordered materials. Whenever the normal state of matter is affected by internal or external agencies and new states are developed, it is generally observed that the new materials possess disordered structures. However, some characteristics (such as the electronic and ionic) remain similar to those of crystalline solids. Such isotropic materials are also termed disordered solids.This book surveys the physics of materials like non transition-transition metals and alloys in their solid and liquid phases, liquid-amorphous solids and materials with super structures like fullerene lattices etc. The advancements in these materials which possess unusual physical properties provide exciting possibilities for technology and industry. Up-to-date investigations about theoretical and experimental techniques are presented here. The reviews on different materials were prepared by renowned experts in the corresponding areas.


Book Synopsis Condensed Matter by : Dr. S. K. Srivastave

Download or read book Condensed Matter written by Dr. S. K. Srivastave and published by World Scientific. This book was released on 1995 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with different aspects of the structure and properties of disordered materials. Whenever the normal state of matter is affected by internal or external agencies and new states are developed, it is generally observed that the new materials possess disordered structures. However, some characteristics (such as the electronic and ionic) remain similar to those of crystalline solids. Such isotropic materials are also termed disordered solids.This book surveys the physics of materials like non transition-transition metals and alloys in their solid and liquid phases, liquid-amorphous solids and materials with super structures like fullerene lattices etc. The advancements in these materials which possess unusual physical properties provide exciting possibilities for technology and industry. Up-to-date investigations about theoretical and experimental techniques are presented here. The reviews on different materials were prepared by renowned experts in the corresponding areas.


Solid State Theory

Solid State Theory

Author: Walter A. Harrison

Publisher: Courier Corporation

Published: 2012-04-30

Total Pages: 576

ISBN-13: 0486152235

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DIVThorough, modern study of solid state physics; solid types and symmetry, electron states, electronic properties and cooperative phenomena. /div


Book Synopsis Solid State Theory by : Walter A. Harrison

Download or read book Solid State Theory written by Walter A. Harrison and published by Courier Corporation. This book was released on 2012-04-30 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVThorough, modern study of solid state physics; solid types and symmetry, electron states, electronic properties and cooperative phenomena. /div


Glassy Materials and Disordered Solids

Glassy Materials and Disordered Solids

Author: Kurt Binder

Publisher: World Scientific Publishing Company

Published: 2005-10-07

Total Pages: 452

ISBN-13: 9813106611

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The physics of glassy materials and disordered solids presents students with an area of study much more challenging than the physics of crystalline solids. Written by two recognized experts in the field, this highly readable book tackles the subject with the student firmly in mind, beginning with a pedagogical introduction to important concepts such as percolation, fractals, spin glasses, and glasses. Making use of these concepts, the authors show that such systems share many common aspects that can be described within the framework of statistical mechanics. The book is also an essential standard text for researchers on amorphous materials, equally accessible for theorists and experimentalists.


Book Synopsis Glassy Materials and Disordered Solids by : Kurt Binder

Download or read book Glassy Materials and Disordered Solids written by Kurt Binder and published by World Scientific Publishing Company. This book was released on 2005-10-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics of glassy materials and disordered solids presents students with an area of study much more challenging than the physics of crystalline solids. Written by two recognized experts in the field, this highly readable book tackles the subject with the student firmly in mind, beginning with a pedagogical introduction to important concepts such as percolation, fractals, spin glasses, and glasses. Making use of these concepts, the authors show that such systems share many common aspects that can be described within the framework of statistical mechanics. The book is also an essential standard text for researchers on amorphous materials, equally accessible for theorists and experimentalists.


Theoretical Solid State Physics

Theoretical Solid State Physics

Author:

Publisher: Courier Corporation

Published: 1985-01-01

Total Pages: 660

ISBN-13: 9780486650166

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Used widely in courses and frequently sought as a reference, this 2-volume work features comprehensive coverage of its subject. Volume 1 examines the fundamental theory of equilibrium properties of perfect crystalline solids. Volume 2 addresses non-equilibrium properties, defects, and disordered systems. 1973 edition.


Book Synopsis Theoretical Solid State Physics by :

Download or read book Theoretical Solid State Physics written by and published by Courier Corporation. This book was released on 1985-01-01 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Used widely in courses and frequently sought as a reference, this 2-volume work features comprehensive coverage of its subject. Volume 1 examines the fundamental theory of equilibrium properties of perfect crystalline solids. Volume 2 addresses non-equilibrium properties, defects, and disordered systems. 1973 edition.


Charge Transport in Disordered Solids with Applications in Electronics

Charge Transport in Disordered Solids with Applications in Electronics

Author: Sergei Baranovski

Publisher: John Wiley & Sons

Published: 2006-08-14

Total Pages: 498

ISBN-13: 0470095059

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The field of charge conduction in disordered materials is a rapidly evolving area owing to current and potential applications of these materials in various electronic devices This text aims to cover conduction in disordered solids from fundamental physical principles and theories, through practical material development with an emphasis on applications in all areas of electronic materials. International group of contributors Presents basic physical concepts developed in this field in recent years in a uniform manner Brings up-to-date, in a one-stop source, a key evolving area in the field of electronic materials


Book Synopsis Charge Transport in Disordered Solids with Applications in Electronics by : Sergei Baranovski

Download or read book Charge Transport in Disordered Solids with Applications in Electronics written by Sergei Baranovski and published by John Wiley & Sons. This book was released on 2006-08-14 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of charge conduction in disordered materials is a rapidly evolving area owing to current and potential applications of these materials in various electronic devices This text aims to cover conduction in disordered solids from fundamental physical principles and theories, through practical material development with an emphasis on applications in all areas of electronic materials. International group of contributors Presents basic physical concepts developed in this field in recent years in a uniform manner Brings up-to-date, in a one-stop source, a key evolving area in the field of electronic materials