1.

Record Nr.

UNINA9910835061003321

Autore

Galenko Peter

Titolo

Phase Field Theory in Materials Physics [[electronic resource] ] : The Hodograph Equation / / by Peter Galenko

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2024

ISBN

3-031-49278-1

Edizione

[1st ed. 2024.]

Descrizione fisica

1 online resource (240 pages)

Disciplina

620.100285

Soggetti

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

Mathematical Methods in Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Phase Interfaces -- Phase Field -- Gibbs Free Energy: Equilibrium and Dynamics -- Approach to Fast Transformations -- The Hodograph Equation -- Velocity-Dependent Herring Equation.

Sommario/riassunto

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.