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Phase Transitions and Crystal Symmetry

  • Yu. A. Izyumov
  • V. N. Syromyatnikov

Part of the Fundamental Theories of Physics book series (FTPH, volume 38)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 1-18
  3. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 52-99
  4. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 100-130
  5. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 131-187
  6. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 188-214
  7. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 215-249
  8. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 250-300
  9. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 301-357
  10. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 358-403
  11. Yu. A. Izyumov, V. N. Syromyatnikov
    Pages 404-438
  12. Back Matter
    Pages 439-443

About this book

Introduction

About half a century ago Landau formulated the central principles of the phe­ nomenological second-order phase transition theory which is based on the idea of spontaneous symmetry breaking at phase transition. By means of this ap­ proach it has been possible to treat phase transitions of different nature in altogether distinct systems from a unified viewpoint, to embrace the aforemen­ tioned transitions by a unified body of mathematics and to show that, in a certain sense, physical systems in the vicinity of second-order phase transitions exhibit universal behavior. For several decades the Landau method has been extensively used to an­ alyze specific phase transitions in systems and has been providing a basis for interpreting experimental data on the behavior of physical characteristics near the phase transition, including the behavior of these characteristics in systems subject to various external effects such as pressure, electric and magnetic fields, deformation, etc. The symmetry aspects of Landau's theory are perhaps most effective in analyzing phase transitions in crystals because the relevant body of mathemat­ ics for this symmetry, namely, the crystal space group representation, has been worked out in great detail. Since particular phase transitions in crystals often call for a subtle symmetry analysis, the Landau method has been continually refined and developed over the past ten or fifteen years.

Keywords

Phase Transition Phase Transitions crystal crystal structure quasicrystal

Authors and affiliations

  • Yu. A. Izyumov
    • 1
  • V. N. Syromyatnikov
    • 1
  1. 1.Institute of Metal PhysicsUral Division of the U.S.S.R. Academy of SciencesSverdlovskUSSR

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-1920-4
  • Copyright Information Springer Science+Business Media B.V. 1990
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-7357-8
  • Online ISBN 978-94-009-1920-4
  • Buy this book on publisher's site