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| Hauptseite > Publikationsdatenbank > Onsager approach to the one-dimensional solidification problem and its relation to the phase-field description > print |
| Hauptseite > Publikationsdatenbank > Onsager approach to the one-dimensional solidification problem and its relation to the phase-field description > print |
| 001 | 22906 | ||
| 005 | 20230217124335.0 | ||
| 024 | 7 | _ | |2 DOI |a 10.1103/PhysRevE.85.031601 |
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| 084 | _ | _ | |2 WoS |a Physics, Mathematical |
| 100 | 1 | _ | |0 P:(DE-Juel1)VDB104034 |a Brener, E.A. |b 0 |u FZJ |
| 245 | _ | _ | |a Onsager approach to the one-dimensional solidification problem and its relation to the phase-field description |
| 260 | _ | _ | |a College Park, Md. |b APS |c 2012 |
| 264 | _ | 1 | |3 online |2 Crossref |b American Physical Society (APS) |c 2012-03-19 |
| 264 | _ | 1 | |3 print |2 Crossref |b American Physical Society (APS) |c 2012-03-01 |
| 300 | _ | _ | |a 031601 |
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| 440 | _ | 0 | |0 4924 |a Physical Review E |v 85 |x 1539-3755 |y 3 |
| 500 | _ | _ | |3 POF3_Assignment on 2016-02-29 |
| 500 | _ | _ | |a We thank M. Plapp for useful discussions. We acknowledge the support of the Deutsche Forschungs-gemeinschaft under Project No. SFB 917. |
| 520 | _ | _ | |a 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. |
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| 773 | 1 | 8 | |a 10.1103/physreve.85.031601 |b American Physical Society (APS) |d 2012-03-19 |n 3 |p 031601 |3 journal-article |2 Crossref |t Physical Review E |v 85 |y 2012 |x 1539-3755 |
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| 856 | 7 | _ | |u http://dx.doi.org/10.1103/PhysRevE.85.031601 |
| 856 | 4 | _ | |u https://juser.fz-juelich.de/record/22906/files/PhysRevE.85.031601.pdf |y OpenAccess |
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