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Phase-Equilibrium Stability Criterion in Terms of the Eigenvalues of the Hessian Matrix of the Gibbs Potential

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Abstract

The phase-equilibrium stability criterion is formulated in terms of the eigenvalues of the Hessian matrix of the Gibbs potential. The usefulness of this formulation is demonstrated by an analysis of the relation between the zero-determinant lines of the Hessian matrix and the spinodal manifolds.

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Authors and Affiliations

  1. Lomonosov State Academy of Fine Chemical Technology, pr. Vernadskogo 86, Moscow, 117571, Russia

    M. A. Solokhin, A. V. Solokhin & V. S. Timofeev

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  1. M. A. Solokhin
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  2. A. V. Solokhin
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  3. V. S. Timofeev
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Solokhin, M.A., Solokhin, A.V. & Timofeev, V.S. Phase-Equilibrium Stability Criterion in Terms of the Eigenvalues of the Hessian Matrix of the Gibbs Potential. Theoretical Foundations of Chemical Engineering 36, 444–446 (2002). https://doi.org/10.1023/A:1020617610644

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  • DOI: https://doi.org/10.1023/A:1020617610644

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