TY  - JOUR
AU  - Brener, E.A.
AU  - Temkin, D.E.
TI  - Onsager approach to the one-dimensional solidification problem and its relation to the phase-field description
JO  - Physical review / E
VL  - 85
IS  - 3
SN  - 1539-3755
CY  - College Park, Md.
PB  - APS
M1  - PreJuSER-22906
SP  - 031601
PY  - 2012
N1  - We thank M. Plapp for useful discussions. We acknowledge the support of the Deutsche Forschungs-gemeinschaft under Project No. SFB 917.
AB  - We give a general phenomenological description of the steady-state 1D front propagation problem in two cases: the solidification of a pure material and the isothermal solidification of two-component dilute alloys. The solidification of a pure material is controlled by the heat transport in the bulk and the interface kinetics. The isothermal solidification of two-component alloys is controlled by the diffusion in the bulk and the interface kinetics. We find that the condition of positive-definiteness of the symmetric Onsager matrix of interface kinetic coefficients still allows an arbitrary sign of the slope of the velocity-concentration line near the solidus in the alloy problem or of the velocity-temperature line in the case of solidification of a pure material. This result offers a very simple and elegant way to describe the interesting phenomenon of a possible non-single-value behavior of velocity versus concentration that has previously been discussed by different approaches. We also discuss the relation of this Onsager approach to the thin-interface limit of the phase-field description.
KW  - J (WoSType)
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000301844200007
DO  - DOI:10.1103/PhysRevE.85.031601
UR  - https://juser.fz-juelich.de/record/22906
ER  -