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  • Book
  • © 2012

Field Theoretic Method in Phase Transformations

  • Describes the novel and very popular method of theoretical and computational study of phase transformations and materials processing in condensed and soft matter
  • Discusses the foundations of the method along with the advanced results in a single volume
  • Serves as a primer in the area of phase transformations and as a guide for a seasoned researcher

Part of the book series: Lecture Notes in Physics (LNP, volume 840)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-x
  2. Introduction

    • Alexander Umantsev
    Pages 1-6
  3. Landau Theory of Phase Transitions

    • Alexander Umantsev
    Pages 7-35
  4. Heterogeneous Equilibrium Systems

    • Alexander Umantsev
    Pages 37-90
  5. Dynamics of Homogeneous Systems

    • Alexander Umantsev
    Pages 91-100
  6. Evolution of Heterogeneous Systems

    • Alexander Umantsev
    Pages 101-119
  7. Thermomechanical Analogy

    • Alexander Umantsev
    Pages 121-126
  8. Thermodynamic Fluctuations

    • Alexander Umantsev
    Pages 127-150
  9. More Complicated Systems

    • Alexander Umantsev
    Pages 151-200
  10. Thermal Effects of Phase Transformations

    • Alexander Umantsev
    Pages 201-244
  11. Transformations in Real Materials

    • Alexander Umantsev
    Pages 245-248
  12. Extensions of the Method

    • Alexander Umantsev
    Pages 249-260
  13. Erratum

    • Alexander Umantsev
    Pages E1-E1
  14. Back Matter

    Pages 261-344

About this book

The main subject of the book is the continuum, field theoretic method of study of phase transformations in material systems. The method, also known as "phase field", allows one to analyze different stages of transformations on the unified platform. It has received significant attention in the materials science community recently due to many successes in solving or illuminating important problems. The book will address fundamentals of the method starting from the classical theories of phase transitions, the most important theoretical and computational results, and some of the most advanced recent applications.

Reviews

From the reviews:

“This book is a thorough presentation of the field theoretic method of study of phase transformations in material systems. … The book is well written and quite appropriate as a reference on the subject, but can also be used as a textbook for an audience interested in the physical aspects of the theory. It should also be useful to mathematicians interested in the analysis and numerics of phase transitions who want to deepen their knowledge on the physical origins of the problems they work on.” (Apostolos Damialis, Mathematical Reviews, July, 2013)

“The author discusses the field theoretic method in phase transitions. Phase transitions are significant changes in a system’s properties and symmetry, which happen as a result of changes of external conditions … . This book is aimed at researches who are interested in all aspects of phase transformations, especially for practitioners who are involved in theoretical studies or computer simulations of the phenomena. This book can be used as a textbook for a graduate or upper-level undergraduate course in the physics of phase transitions.” (Nasir N. Ganikhodjaev, Zentralblatt MATH, Vol. 1252, 2012)

Authors and Affiliations

  • , Department of Chemistry and Physics, Fayetteville State University, Fayetteville, USA

    Alexander Umantsev

Bibliographic Information

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access