Composition fluctuations and the geometry of phase diagrams in multicomponent mixtures
Identifieur interne : 001F57 ( Main/Exploration ); précédent : 001F56; suivant : 001F58Composition fluctuations and the geometry of phase diagrams in multicomponent mixtures
Auteurs : Max Teubner [Allemagne]Source :
- Physica A: Statistical Mechanics and its Applications [ 0378-4371 ] ; 1992.
English descriptors
- Teeft :
- Basic equations, Chemical potentials, Coexistence surfaces, Coexisting, Coexisting phases, Coexisting points, Composition fluctuations, Constraint, Cyclic, Cyclic permutations, Definiteness, Diagram, Eigenvalue, Ellipsoid, Fluctuation, Fluctuation ellipsoid, Matrix, Maxwell relations, Multicomponent mixtures, Parametrization, Permutation, Phase diagram, Phase diagrams, Phys, Positive definiteness, Scale factor, Stability condition, Stability conditions, Tangent plane, Tangent vectors, Ternary, Ternary mixtures, Tetrahedron, Teubner, Teubner composition fluctuations.
Abstract
Abstract: The connection between the composition fluctuations and the geometry of the phase diagram, discussed previously for ternary mixtures, is extended to mixtures of arbitrary many components. It is shown that for two coexisting phases the phase diagram determines all but n + 1 of the n(n + 1) independent fluctuations in the two phases. For three coexisting phases all the composition fluctuations in the three phases are determined by the phase diagram up to a scale factor. New geometric constraints on phase diagrams are derived. For four-component mixtures the constraints are determined explicitly.
Url:
DOI: 10.1016/0378-4371(92)90313-F
Affiliations:
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