02983nam a22004935i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001300153072001600166072002300182072001500205100014400220245011400364250001800478264007500496300006500571336002600636337002600662338003600688347002400724505018500748520102400933650004001957650002201997650001202019650002002031650002602051650003702077650003502114650002302149650004602172650002002218650003702238710003402275773002602309776003602335776003602371776003602407856004602443978-3-031-49278-5DE-He21320251030111423.0cr nn 008mamaa240211s2024    sz |    s    |||| 0|eng d  a97830314927857 a10.1007/978-3-031-49278-52doi 4aTA404.23 7aTGM2bicssc 7aTEC0210002bisacsh 7aTGM2thema1 aGalenko, Peter.eauthor.0(orcid)0000-0003-2941-77421https://orcid.org/0000-0003-2941-77424aut4http://id.loc.gov/vocabulary/relators/aut10aPhase Field Theory in Materials Physicsh[electronic resource] :bThe Hodograph Equation /cby Peter Galenko.  a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024.  aXXI, 232 p. 42 illus., 21 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 aPhase Interfaces -- Phase Field -- Gibbs Free Energy: Equilibrium and Dynamics -- Approach to Fast Transformations -- The Hodograph Equation -- Velocity-Dependent Herring Equation.  aThis 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. 0aMaterials sciencexData processing. 0aCondensed matter. 0aMetals. 0aThermodynamics. 0aMathematical physics.14aComputational Materials Science.24aStructure of Condensed Matter.24aMetals and Alloys.24aPhase Transitions and Multiphase Systems.24aThermodynamics.24aMathematical Methods in Physics.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303149277808iPrinted edition:z978303149279208iPrinted edition:z978303149280840uhttps://doi.org/10.1007/978-3-031-49278-5