This title appears in the Scientific Report :
2005
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevLett.94.184501 in citations.
Please use the identifier: http://hdl.handle.net/2128/1580 in citations.
Velocity-selection problem for combined motion of melting and solidification fronts
Velocity-selection problem for combined motion of melting and solidification fronts
We discuss a free boundary problem for two moving solid-liquid interfaces that strongly interact via the diffusion field in the liquid layer between them. This problem arises in the context of liquid film migration (LFM) during the partial melting of solid alloys. In the LFM mechanism the system cho...
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Personal Name(s): | Brener, E. A. |
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Temkin, D. E. | |
Contributing Institute: |
Theorie III; IFF-TH-III |
Published in: | Physical review letters, 94 (2005) S. 184501 |
Imprint: |
College Park, Md.
APS
2005
|
Physical Description: |
184501 |
DOI: |
10.1103/PhysRevLett.94.184501 |
Document Type: |
Journal Article |
Research Program: |
Kondensierte Materie |
Series Title: |
Physical Review Letters
94 |
Subject (ZB): | |
Link: |
Get full text OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/1580 in citations.
We discuss a free boundary problem for two moving solid-liquid interfaces that strongly interact via the diffusion field in the liquid layer between them. This problem arises in the context of liquid film migration (LFM) during the partial melting of solid alloys. In the LFM mechanism the system chooses a more efficient kinetic path which is controlled by diffusion in the liquid film, whereas the process with only one melting front would be controlled by the very slow diffusion in the mother solid phase. The relatively weak coherency strain energy is the effective driving force for LFM. As in the classical dendritic growth problems, also in this case an exact family of steady-state solutions with two parabolic fronts and an arbitrary velocity exists if capillary effects are neglected [D. E. Temkin, Acta Mater. 53, 2733 (2005)]. We develop a velocity-selection theory for this problem, including anisotropic surface tension effects. |