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Van der Waals theory for solids

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Publication Date
1994-10
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Daanoun, A.
Baus, M.
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American Physical Society
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In analogy with the well-known theory for fluids, a van der Waals theory for solids is proposed. It is shown that, in agreement with recent predictions, the competition between the van der Waals loop of the fluid and the van der Waals loop of the solid can produce three different types of phase diagrams for a simple fluid. This could be of relevance to the phase behavior of colloidal dispersions.
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© 1994 The American Physical Society. C.F. Tejero acknowledges the DGIGYT (Spain) (PB91-0378) and M. Baus the FNRS (Belgium) and the Association Euratom-Etat Belge. M. Baus gratefully acknowledges valuable discussions with H.N.W. Lekkerkerker about the interest of this study for the phase behavior of colloidal dispersions.
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[1] See, e.g. , L. D. Landau and E. M. Lifshitz, Statistical Physics, 3rd ed. (Pergamon Press, Oxford, 1989), Sec. 76. [2] J. P. Hansen and I. R. McDonald, Theory of Simple Liquids, 1st ed. (Academic Press, London, 1976). [3] P. Bolhuis and D. Frenkel, Phys. Rev. Lett. 72, 2211 (1994). [4] C. F. Tejero, A. Daanoun, H. N. W. Lekkerkerker, and M. Baus, Phys. Rev. Lett. 73, 752 (1994). [5] J. S. Rowlinson, Liquids and Liquid Mixtures (Butterworths, London, 1959), p. 90. [6] T. M. Reed and K. E. Gubbins, Applied Statistical Mechanics (Mc Graw-Hill, Tokyo, 1973), p. 282. [7] R. Hall, J. Chem. Phys. 57, 2252 (1972). [8] J. F. Lutsko and M. Baus, J. Phys. Condens. Matter 3. 6547 (1991). [9] R. Ohnesorge, H. Lowen, and H. Wagner, Europhysics Lett. 22, 245 (1993). [10] J. F. Lutsko and M. Baus, Phys. Rev. A 41, 6647 (1990). [11] A. P. Gast, C. K. Hall, and W. B. Russel, J. Colloid Interface Sci 96, 251 (1983) [12] An alternative vdW theory for the solid can be found in D. A. Young, J. Chem. Phys. 98, 9819 (1993). [13] For a recent review see, e.g. , H. N. W. Lekkerkerker, j. K. G. Dhont, H. Verduin, C. Smits, and 3. S. van Duijneveldt, Physica A (to be published).
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