| Description |
1 online resource (xxv, 503 pages) : illustrations |
| Series |
Lecture notes in physics, 0075-8450 ; volume 1016 |
|
Lecture notes in physics ; v. 1060.
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| Contents |
Introduction -- Landau theory of phase transitions -- Heterogeneous equilibrium systems -- Dynamics of homogeneous systems -- Evolution of heterogeneous systems -- Thermomechanical analogy -- Thermodynamic fluctuations -- More complicated systems -- Thermal effects of phase transformations -- Transformations in real materials -- Extensions of the method -- Appendix A. Coarse-graining procedure -- Appendix B. Calculus of variations and functional derivative -- Appendix C. Orthogonal curvilinear coordinates -- Appendix D. Lagrangian field theory -- Appendix E. Eigenfunctions and Eigenvalues of the Schrödinger equation and Sturm's comparison theorem -- Appendix F. Fourier and Legendre transforms -- Appendix G. Stochastic processes -- Appendix H. Two-phase equilibrium in a closed binary system -- Appendix I. The Stefan problem -- Appendix J. On the theory of adsorption of sound in liquids -- Index |
| Summary |
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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed June 22, 2023) |
| Subject |
Phase transformations (Statistical physics)
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Field theory (Physics)
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Continuum mechanics.
|
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Continuum mechanics
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Field theory (Physics)
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Phase transformations (Statistical physics)
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Phase transformations (Statistical physics)
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Field theory (Physics)
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Continuum mechanics -- Mathematics.
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| Form |
Electronic book
|
| ISBN |
9783031296055 |
|
3031296052 |
|
