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Research ArticleArticles

Global minimization of the Gibbs energy of multicomponent systems Involving the presence of order/disorder phase transitions

Jean-Philippe Harvey, Gunnar Eriksson, Dominique Orban and Patrice Chartrand
American Journal of Science March 2013, 313 (3) 199-241; DOI: https://doi.org/10.2475/03.2013.02
Jean-Philippe Harvey
*Center for Research in Computational Thermochemistry, Department of Chemical Engineering, École Polytechnique de Montréal, C.P. 6079, Succ. Centre-ville, Montréal (Québec), Canada, H3C 3A7
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  • For correspondence: Jean-philippe.harvey@polymtl.ca
Gunnar Eriksson
**GTT-Technologies, KaiserStrasse 100, 52134 Herzogenrath, Germany
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Dominique Orban
***GERAD and Department of Mathematics and Industrial Engineering, École Polytechnique de Montréal, C.P. 6079, Succ. Centre-ville, Montréal (Québec), Canada, H3C 3A7
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Patrice Chartrand
*Center for Research in Computational Thermochemistry, Department of Chemical Engineering, École Polytechnique de Montréal, C.P. 6079, Succ. Centre-ville, Montréal (Québec), Canada, H3C 3A7
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American Journal of Science: 313 (3)
American Journal of Science
Vol. 313, Issue 3
1 Mar 2013
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Global minimization of the Gibbs energy of multicomponent systems Involving the presence of order/disorder phase transitions
Jean-Philippe Harvey, Gunnar Eriksson, Dominique Orban, Patrice Chartrand
American Journal of Science Mar 2013, 313 (3) 199-241; DOI: 10.2475/03.2013.02

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Global minimization of the Gibbs energy of multicomponent systems Involving the presence of order/disorder phase transitions
Jean-Philippe Harvey, Gunnar Eriksson, Dominique Orban, Patrice Chartrand
American Journal of Science Mar 2013, 313 (3) 199-241; DOI: 10.2475/03.2013.02
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  • Article
    • Abstract
    • Glossary of Symbols
    • INTRODUCTION
    • I. GFE MINIMIZATION PROBLEM
    • II. THE GIBBS PHASE RULE AS AN IMPLICIT CONSTRAINT
    • III. ORDER/DISORDER TRANSITIONS IN SOLID SOLUTIONS
    • IV. TRIVIAL SOLUTIONS IN DISORDERED SOLID SOLUTIONS
    • V. FIRST ESTIMATE ALGORITHM
    • VI. STRATEGY FOR FINDING LOCAL MINIMA OF THE GFE
    • VII. QUALITY OF THE FIRST ESTIMATE ROUTINE: THE AG-CU-AU AND AL-TI-NB CASE STUDIES
    • VIII. PERFORMANCE OF SNOPT, IPOPT AND KNITRO: THE AU-CU CASE STUDY
    • IX. MODIFICATIONS OF THE HESSIAN:CVM-FCC IN THE TETRAHEDRON APPROXIMATION CASE STUDY
    • X. CONCLUSIONS
    • ACKNOWLEDGMENTS
    • Appendices
    • REFERENCES
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Keywords

  • Gibbs energy minimization
  • equilibrium phase assemblage estimation technique
  • phase stability evaluation, complex phase equilibria
  • order/disorder phase transitions
  • cluster variation method
  • cluster site approximation

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