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Melting of a colloidal crystal

Author

Listed:
  • Kuhn, P.S.
  • Diehl, A.
  • Levin, Y.
  • Barbosa, M.C.

Abstract

A melting transition for a system of hard spheres interacting by a repulsive Yukawa potential of a DLVO form is studied. To find the location of the phase boundary, we propose a simple theory to calculate the free energies for the coexisting liquid and solid. The free energy for the liquid phase is approximated by a virial expansion. The free energy of the crystalline phase is calculated in the spirit of the Lenard-Jonnes and Devonshire (LJD) theory. The phase boundary is found by equating the pressures and chemical potentials of the coexisting phases. When the approximation leading to the equation of state for the liquid breaks down, the first-order transition line is also obtained by applying the Lindemann criterion to the solid phase. Our results are then compared with the Monte Carlo simulations.

Suggested Citation

  • Kuhn, P.S. & Diehl, A. & Levin, Y. & Barbosa, M.C., 1997. "Melting of a colloidal crystal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 235-246.
    • Handle: RePEc:eee:phsmap:v:247:y:1997:i:1:p:235-246
    DOI: 10.1016/S0378-4371(97)00408-1
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    References listed on IDEAS

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    1. Bhuiyan, L.B. & Outhwaite, C.W. & van der Maarel, J.R.C., 1996. "Structure functions of rod-like DNA fragment and polystyrenesulfonate solutions in the modified Poisson-Boltzmann theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(1), pages 295-303.
    2. Denis Segrestin, 1988. "Commentaires de Denis Segrestin," Revue Économique, Programme National Persée, vol. 39(1), pages 181-186.
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