LEADER 03353nam 22006615 450 001 9910835061003321 005 20240627164942.0 010 $a3-031-49278-1 024 7 $a10.1007/978-3-031-49278-5 035 $a(MiAaPQ)EBC31138435 035 $a(Au-PeEL)EBL31138435 035 $a(DE-He213)978-3-031-49278-5 035 $a(CKB)30327223700041 035 $a(EXLCZ)9930327223700041 100 $a20240211d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPhase Field Theory in Materials Physics $eThe Hodograph Equation /$fby Peter Galenko 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (240 pages) 311 08$aPrint version: Galenko, Peter Phase Field Theory in Materials Physics Cham : Springer International Publishing AG,c2024 9783031492778 327 $aPhase Interfaces -- Phase Field -- Gibbs Free Energy: Equilibrium and Dynamics -- Approach to Fast Transformations -- The Hodograph Equation -- Velocity-Dependent Herring Equation. 330 $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. 606 $aMaterials science$xData processing 606 $aCondensed matter 606 $aMetals 606 $aThermodynamics 606 $aMathematical physics 606 $aComputational Materials Science 606 $aStructure of Condensed Matter 606 $aMetals and Alloys 606 $aPhase Transitions and Multiphase Systems 606 $aThermodynamics 606 $aMathematical Methods in Physics 615 0$aMaterials science$xData processing. 615 0$aCondensed matter. 615 0$aMetals. 615 0$aThermodynamics. 615 0$aMathematical physics. 615 14$aComputational Materials Science. 615 24$aStructure of Condensed Matter. 615 24$aMetals and Alloys. 615 24$aPhase Transitions and Multiphase Systems. 615 24$aThermodynamics. 615 24$aMathematical Methods in Physics. 676 $a620.100285 700 $aGalenko$b Peter$01771964 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910835061003321 996 $aPhase Field Theory in Materials Physics$94268308 997 $aUNINA