TY  - BOOK
AU  - Galenko,Peter
ED  - SpringerLink (Online service)
TI  - Phase Field Theory in Materials Physics: The Hodograph Equation 
SN  - 9783031492785
AV  - TA404.23 
PY  - 2024///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Materials science
KW  - Data processing
KW  - Condensed matter
KW  - Metals
KW  - Thermodynamics
KW  - Mathematical physics
KW  - Computational Materials Science
KW  - Structure of Condensed Matter
KW  - Metals and Alloys
KW  - Phase Transitions and Multiphase Systems
KW  - Mathematical Methods in Physics
N1  - Phase Interfaces -- Phase Field -- Gibbs Free Energy: Equilibrium and Dynamics -- Approach to Fast Transformations -- The Hodograph Equation -- Velocity-Dependent Herring Equation
N2  - This book deals with the use of the hodograph equation in phase transformations in condensed matter, especially, for crystallization and solidification processes. The main focus of the book is the interpretation of the phase-field equations for isotropic and anisotropic interfaces based on the advanced Gibbs–Thomson and Herring conditions, respectively. Beginning with the basic ideas behind the extended irreversible thermodynamics, the kinetic phase-field model for slow and arbitrarily fast phase transformations is derived where the unified hodograph equation follows from: • the sharp interface limit of the diffuse interface or • the traveling wave solution of the propagating phase field. Under the example of solute trapping and disorder trapping effects, comparing theoretical results with molecular dynamics simulations, and with the analysis of experimental data, the concrete workability of the developed hodograph equation is demonstrated for widest range of driving force in phase transformations
UR  - https://doi.org/10.1007/978-3-031-49278-5
ER  -