Minimization of the Free Energy under a Given Pressure by Natural Iteration Method

  • Kiyokane Naoya
    Division of Materials Science and Engineering, Graduate School of Engineering, Hokkaido University
  • Mohri Tetsuo
    Division of Materials Science and Engineering, Faculty of Engineering, Hokkaido University Research Center for Integrative Mathematics, Hokkaido University

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Natural iteration method within the Cluster Variation Method is coupled with zero potential to minimize the free energy under the constraint of a constant pressure. The calculated results reproduce the ones obtained by the conventional method in which a gradient of the free energy curve is estimated at each atomic distance. It is noted that the computation time is much reduced in the present scheme and, therefore, it has a potential applicability in the future calculations with a free energy containing a larger number of variables.

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