The Hodograph Equation Galenko, Peter. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XXI, 232 p. 42 illus., 21 illus. in color. online resource. 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. Phase Interfaces -- Phase Field -- Gibbs Free Energy: Equilibrium and Dynamics -- Approach to Fast Transformations -- The Hodograph Equation -- Velocity-Dependent Herring Equation. by Peter Galenko. Materials science Data processing Condensed matter Metals Thermodynamics Mathematical physics Computational Materials Science Structure of Condensed Matter Metals and Alloys Phase Transitions and Multiphase Systems Thermodynamics Mathematical Methods in Physics TA404.23 9783031492785 https://doi.org/10.1007/978-3-031-49278-5 https://doi.org/10.1007/978-3-031-49278-5 240211 20251030111423.0 978-3-031-49278-5