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A Monte Carlo Study of the Antiphase Free Energy in FCC Ordering Transitions

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Ordering and Disordering in Alloys

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Abstract

The ordering transition of FCC systems is modelized with Ising Hamiltonians (pair interactions).The Monte Carlo method is used to calculate the free energy of the lattice.This permits a discussion of the relative stability of various “long period” (LP) structures.This discussion is carried with Hamiltonians close to the degeneracy, where the simplest mean-field theories cannot be used.It appears that the LP structures are not stable with simple Hamiltonians(antiferromagnetic nearest-neighbour interactions).The antiphase surface free energy (σa) can then be calculated.A study of the variations of σa is carried among variable degenerate Hamiltonians. One shows an increase of σa when the Hamiltonian leads to strongest fluctuations close to the ordering temperature.

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Author information

Authors and Affiliations

  1. Laboratoire de Thermodynamique et Physico-chimie des materiaux(URA CNRS 29), ENSEEG-DU-BP75-38402, St Martin D’Heres Cedex, France

    Frederic Livet

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  1. Frederic Livet
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Editor information

Editors and Affiliations

  1. Amorphous and Microcrystalline Materials Research Group, Institut National Polytechnique de Grenoble, Saint Martin d’Hères, France

    A. R. Yavari

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© 1992 Elsevier Science Publishers Ltd

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Livet, F. (1992). A Monte Carlo Study of the Antiphase Free Energy in FCC Ordering Transitions. In: Yavari, A.R. (eds) Ordering and Disordering in Alloys. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2886-5_21

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  • DOI: https://doi.org/10.1007/978-94-011-2886-5_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-762-8

  • Online ISBN: 978-94-011-2886-5

  • eBook Packages: Springer Book Archive

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