03356nam a22005775i 4500 978-3-031-49278-5 DE-He213 20251030111423.0 cr nn 008mamaa 240211s2024 sz | s |||| 0|eng d 9783031492785 978-3-031-49278-5 10.1007/978-3-031-49278-5 doi TA404.23 TGM bicssc TEC021000 bisacsh TGM thema Galenko, Peter. author. (orcid)0000-0003-2941-7742 https://orcid.org/0000-0003-2941-7742 aut http://id.loc.gov/vocabulary/relators/aut 70876 Phase Field Theory in Materials Physics [electronic resource] : The Hodograph Equation / by Peter Galenko. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XXI, 232 p. 42 illus., 21 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Phase Interfaces -- Phase Field -- Gibbs Free Energy: Equilibrium and Dynamics -- Approach to Fast Transformations -- The Hodograph Equation -- Velocity-Dependent Herring Equation. 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. Materials science Data processing. 67985 Condensed matter. 66773 Metals. Thermodynamics. 66400 Mathematical physics. Computational Materials Science. 67987 Structure of Condensed Matter. 70434 Metals and Alloys. Phase Transitions and Multiphase Systems. 66776 Thermodynamics. 66400 Mathematical Methods in Physics. 70877 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031492778 Printed edition: 9783031492792 Printed edition: 9783031492808 https://doi.org/10.1007/978-3-031-49278-5 ZDB-2-PHA ZDB-2-SXP 57578 57578