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Rods near curved surfaces and in curved boxes

Author

Listed:
  • Yaman, K.
  • Jeng, M.
  • Pincus, P.
  • Jeppesen, C.
  • Marques, C.M.

Abstract

We consider an ideal gas of infinitely rigid rods near a perfectly repulsive wall, and show that the interfacial tension of a surface with rods on one side is lower when the surface bends towards the rods. Surprisingly we find that rods on both sides of surfaces also lower the energy when the surface bends. We compute the partition functions of rods confined to spherical and cylindrical open shells, and conclude that spherical shells repel rods, whereas cylindrical shells (for thickness of the shell on the order of the rod-length) attract them. The role of flexibility is investigated by considering chains composed of two rigid segments.

Suggested Citation

  • Yaman, K. & Jeng, M. & Pincus, P. & Jeppesen, C. & Marques, C.M., 1997. "Rods near curved surfaces and in curved boxes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 159-182.
  • Handle: RePEc:eee:phsmap:v:247:y:1997:i:1:p:159-182
    DOI: 10.1016/S0378-4371(97)00405-6
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    1. Pfankuchen, Llewellyn, 1936. "Droit Constitutionnel International. By B. Mirkine-Guetzévitch. (Paris: Librairie du Recueil Sirey. 1933. Pp. 299.)," American Political Science Review, Cambridge University Press, vol. 30(1), pages 173-174, February.
    2. Richard J. Buttimer, Jr. & Ronald C. Rutherford & Ron Witten, 1997. "Industrial Warehouse Rent Determinants in the Dallas/Fort Worth Area," Journal of Real Estate Research, American Real Estate Society, vol. 13(1), pages 47-56.
    3. H. Eldor & L. B. Koppel, 1971. "A Generalized Approach to the Method of Steepest Ascent," Operations Research, INFORMS, vol. 19(7), pages 1613-1618, December.
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    Keywords

    Colloids; Depletion; Rod solutions; Membranes;

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