Restricted applicability of Onsager's reciprocity relations to models of interface motion

Journal Article · Mon Nov 15 04:00:00 EST 1993 · Journal of Chemical Physics; (United States)

DOI:https://doi.org/10.1063/1.465628· OSTI ID:5910449

Kaplan, T ^[1]; Aziz, M J ^[2]; Gray, L J ^[3]

---

1. Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)
2. Division of Applied Sciences, Harvard University, Cambridge, Massachusetts 02138 (United States)
3. Engineering Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (United States)

Onsager's reciprocity relations have been applied to the motion of a planar interface in a phase transformation in a two-component system, in order to provide a test of kinetic models of alloy solidification. Although applicable to such models in general, Onsager's relations yield no information for a subclass of models in which the thermodynamic driving forces are linearly dependent to first order, as is the case for several models of alloy solidification including the continuous growth model (CGM) of Aziz and Kaplan. As a consequence, experimental tests will likely be required to distinguish between these models. If the CGM is generalized to include diffusion in the growing phase, Onsager's relations are applicable under some circumstances.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 5910449
• Journal Information: Journal of Chemical Physics; (United States), Journal Name: Journal of Chemical Physics; (United States) Vol. 99:10; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360102* -- Metals & Alloys-- Structure & Phase Studies
ALLOYS
DIFFERENTIAL EQUATIONS
DIFFUSION
EQUATIONS
EQUATIONS OF MOTION
EQUILIBRIUM
INTERFACES
KINETIC EQUATIONS
ONSAGER RELATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
SOLIDIFICATION