The Physics of Structural Phase Transitions

Authors: Fujimoto, Minoru

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About this Textbook

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.

Reviews

From the reviews of the second edition:

"This is a compact and rather consistent treatise of the Physics of Structural Phase Transitions (PSPT). Since the presentation is based on a very transparent pseudospin condensate approach and on the Landau mean-field theory, this book is accessible to students at under-graduate and post-graduate levels." (Valentin Zagrebnov, Zentralblatt MATH, Vol. 1110 (12), 2007)


Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-0-387-26833-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-0-387-40716-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4419-2349-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Physics of Structural Phase Transitions
Authors
Copyright
2005
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-0-387-26833-0
DOI
10.1007/b138153
Hardcover ISBN
978-0-387-40716-6
Softcover ISBN
978-1-4419-2349-3
Edition Number
2
Number of Pages
XIV, 278
Number of Illustrations and Tables
97 b/w illustrations
Topics