Cargando…

The Physics of Structural Phase Transitions

Phase transitions in which crystalline solids undergo structural changes present an interesting problem in the interplay between the crystal structure and the ordering process that is typically nonlinear. Intended for readers with prior knowledge of basic condensed-matter physics, this book emphasiz...

Descripción completa

Detalles Bibliográficos
Autor principal: Fujimoto, Minoru
Lenguaje:eng
Publicado: Springer 2005
Materias:
Acceso en línea:https://dx.doi.org/10.1007/b138153
http://cds.cern.ch/record/1339484
_version_ 1780922067548372992
author Fujimoto, Minoru
author_facet Fujimoto, Minoru
author_sort Fujimoto, Minoru
collection CERN
description Phase transitions in which crystalline solids undergo structural changes present an interesting problem in the interplay between the crystal structure and the ordering process that is typically nonlinear. Intended for readers with prior knowledge of basic condensed-matter physics, this book emphasizes the physics behind spontaneous structural changes in crystals. Starting with the relevant thermodynamic principles, the text discusses the nature of order variables in collective motion in structural phase transitions, where a singularity in such a collective mode is responsible for lattice instability as revealed by soft phonons. In this book, critical anomalies at second-order structural transitions are first analyzed with the condensate model. Discussions on the nonlinear ordering mechanism are followed with the soliton theory, thereby interpreting the role of long-range order. Relevant details for nonlinear mathematics are therefore given for minimum necessity. The text also discusses experimental methods for modulated crystal structures, giving examples of structural changes in representative systems. This book is divided into two parts. The first part includes such topics as the Landau theory of phase transitions, statistics, correlations, and the mean-field approximation, pseudospins and their collective motion, soft lattice modes, condensates and their nonlinear growth, and lattice imperfections and their role in phase transitions of real crystals. The second part discusses experimental studies of modulated crystals using X-ray diffraction, neutron inelastic scattering, light scattering, dielectric measurements, and magnetic resonance spectroscopy. While the presence of modulated structures in the critical region is not particularly suggested in the published results of these studies, it is notable that most observed anomalies indicate evidence for pinned pseudospin condensates.
id cern-1339484
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
publisher Springer
record_format invenio
spelling cern-13394842021-04-22T00:57:28Zdoi:10.1007/b138153http://cds.cern.ch/record/1339484engFujimoto, MinoruThe Physics of Structural Phase TransitionsGeneral Theoretical PhysicsPhase transitions in which crystalline solids undergo structural changes present an interesting problem in the interplay between the crystal structure and the ordering process that is typically nonlinear. Intended for readers with prior knowledge of basic condensed-matter physics, this book emphasizes the physics behind spontaneous structural changes in crystals. Starting with the relevant thermodynamic principles, the text discusses the nature of order variables in collective motion in structural phase transitions, where a singularity in such a collective mode is responsible for lattice instability as revealed by soft phonons. In this book, critical anomalies at second-order structural transitions are first analyzed with the condensate model. Discussions on the nonlinear ordering mechanism are followed with the soliton theory, thereby interpreting the role of long-range order. Relevant details for nonlinear mathematics are therefore given for minimum necessity. The text also discusses experimental methods for modulated crystal structures, giving examples of structural changes in representative systems. This book is divided into two parts. The first part includes such topics as the Landau theory of phase transitions, statistics, correlations, and the mean-field approximation, pseudospins and their collective motion, soft lattice modes, condensates and their nonlinear growth, and lattice imperfections and their role in phase transitions of real crystals. The second part discusses experimental studies of modulated crystals using X-ray diffraction, neutron inelastic scattering, light scattering, dielectric measurements, and magnetic resonance spectroscopy. While the presence of modulated structures in the critical region is not particularly suggested in the published results of these studies, it is notable that most observed anomalies indicate evidence for pinned pseudospin condensates.Springeroai:cds.cern.ch:13394842005
spellingShingle General Theoretical Physics
Fujimoto, Minoru
The Physics of Structural Phase Transitions
title The Physics of Structural Phase Transitions
title_full The Physics of Structural Phase Transitions
title_fullStr The Physics of Structural Phase Transitions
title_full_unstemmed The Physics of Structural Phase Transitions
title_short The Physics of Structural Phase Transitions
title_sort physics of structural phase transitions
topic General Theoretical Physics
url https://dx.doi.org/10.1007/b138153
http://cds.cern.ch/record/1339484
work_keys_str_mv AT fujimotominoru thephysicsofstructuralphasetransitions
AT fujimotominoru physicsofstructuralphasetransitions