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Field Theoretic Method in Phase Transformations

  • Textbook
  • © 2023
  • Latest edition

Overview

Authors:
  1. Alexander Umantsev

    1. Department of Chemistry, Physics, and Materials Science, Fayetteville State University, Fayetteville, USA

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  • Provides a complete guide to the phase-field method, from the basics to advanced applications
  • Updated and expanded throughout with new material on dynamics of dislocations, cracks, and voids
  • Accessible at the graduate level to serve as enrichment for courses or as a reference for researchers

Part of the book series: Lecture Notes in Physics (LNP, volume 1016)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxv
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  2. Classical Theories of Phase Equilibria and Transformations

    1. Front Matter

      Pages 1-1
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    2. Thermodynamic States and Their Stabilities

      • Alexander Umantsev
      Pages 3-14

    3. Thermodynamic Equilibrium of Phases

      • Alexander Umantsev
      Pages 15-23

    4. Examples of Phase Transitions

      • Alexander Umantsev
      Pages 25-38

    5. Isothermal Kinetics of Phase Nucleation and Growth

      • Alexander Umantsev
      Pages 39-68

    6. Coarsening of Second-Phase Precipitates

      • Alexander Umantsev
      Pages 69-93

    7. Spinodal Decomposition in Binary Systems

      • Alexander Umantsev
      Pages 95-100

    8. Thermal Effects in Kinetics of Phase Transformations

      • Alexander Umantsev
      Pages 101-135

  3. The Method

    1. Front Matter

      Pages 137-137
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    2. Landau Theory of Phase Transitions

      • Alexander Umantsev
      Pages 139-169

    3. Heterogeneous Equilibrium Systems

      • Alexander Umantsev
      Pages 171-227

    4. Dynamics of Homogeneous Systems

      • Alexander Umantsev
      Pages 229-241

    5. Evolution of Heterogeneous Systems

      • Alexander Umantsev
      Pages 243-267

    6. Thermodynamic Fluctuations

      • Alexander Umantsev
      Pages 269-301

    7. Multi-Physics Coupling: Thermal Effects of Phase Transformations

      • Alexander Umantsev
      Pages 303-351

    8. Validation of the Method

      • Alexander Umantsev
      Pages 353-358
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Keywords

About this book

This book describes a novel and popular method for the theoretical and computational study of phase transformations and materials processing in condensed and soft matter. The field theoretic method for the study of phase transformations in material systems, also known as the phase-field method, allows one to analyze different stages of transformations within a unified framework. It has received significant attention in the materials science community due to many recent successes in solving or illuminating important problems. In a single volume, this book addresses the fundamentals of the method starting from the basics of the field theoretic method along with its most important theoretical and computational results and some of the most advanced recent results and applications. Now in a revised and expanded second edition, the text is updated throughout and includes material on the classical theory of phase transformations. This book serves as both a primer in the area of phase transformations for those new to the field and as a guide for the more seasoned researcher. It is also of interest to historians of physics.


Authors and Affiliations

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

    Alexander Umantsev

About the author

Alex Umantsev is a Professor of Materials Physics in the Department of Chemistry, Physics, and Materials Science at Fayetteville State University in North Carolina.  He earned his doctorate in 1986 in Moscow (Russia) and worked as a research associate at Northwestern University in the early 1990s.  After that he began his teaching career. His research interests are in the areas of materials theory and multiscale modeling of phase transformations in traditional small-molecule metallic or ceramic systems to crystallization of macromolecules of polymers and proteins. He has always been interested in the processing-structure-properties relations of materials ranging from their production to the analysis of their failure.

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