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References
- 1
- Poon, W. C. K. and Pusey, P. N., in Observation,
Prediction and Simulation of Phase
Transitions in Complex Fluid, edited by Baus, M., Rull, L. F. and
Ryckaert, J. P., pp3-44, Kluwer Academic Publishers, 1994.
- 2
- Asakura, S. and Oosawa, F., J. Chem. Phys., 22, 1255 (1954).
- 3
- Asakura, S. and Oosawa, F., J. Polym. Sci., 33, 183 (1958).
- 4
- Walz, J. Y. and Sharma, A., J. Coll. and Interface Sci.,
168, 485 (1994).
- 5
- Mao, Y., Cates, M. E. and Lekkerkerker, H. N. W.,
Physica A, 222, 10 (1995).
- 6
- Mao, Y., J. de Phys. II (France), 5, 1761 (1995).
- 7
- Mao, Y., Cates, M. E. and Lekkerkerker, H. N. W.,
Phys. Rev. Lett., 75, 4548 (1995).
- 8
- Attard, P., J. Chem. Phys., 91 3083 (1989).
- 9
- Evans, R., Henderson, J. R., Hoyle, D. C.,
Parry, A. O. and
Sauber, Z. A., Molec. Phys. 80, 755 (1993).
- 10
- Bolhuis, P. and Frenkel, D., J. Chem. Phys., 101, 9869
(1994).
- 11
- Tracy, M. A., Garcia, J. L. and Pecora, R.,
Macromolecules, 26, 1862 (1993). It is possible that the sphere
concentration in this study was not high enough to cross the phase
boundary.
- 12
- Lenferink, J., Verhaegh, N. A. M. and Lekkerkerker, H. N. W.,
unpublished experiments on mixtures of colloidal spheres and rods.
- 13
- Mao, Y., Lekkerkerker, H. N. W. and Cates, M. E., in preparation.
- 14
- Russel, W. B., Saville, D. A. and Schowalter, W. R.,
Colloidal Dispersions, Cambridge University Press, Cambridge 1989.
- 15
- Holyst, R., Molec. Phys., 68, 391 (1989).
- 16
- Henderson, J. R., Molec. Phys., 59, 89 (1986).
- 17
- Widom, B., J. Chem. Phys., 39, 2808 (1963);
J. Stat. Phys., 19, 563 (1978).
- 18
- Onsager, L., Ann. NY Acad. Sci., 51, 627 (1949).
- 19
- Poniewierski, A. and Holyst, R., Phys. Rev. A, 38,
3721 (1988).
- 20
- Poniewierski, A., Phys. Rev. E, 47, 3396 (1993).
- 21
- Vroege, G. J. and Lekkerkerker, H. N. W., Rep. Prog.
Phys., 55, 1241 (1992).
- 22
- Broyles, A. A., J. Chem. Phys., 35, 493 (1961).
- 23
- Frenkel, D., J. Phys. Chem., 91, 4912 (1987);
Erratum J. Phys. Chem., 92, 5314 (1988).
Fig.1. Two rods between two infinite parallel plates.
Fig.2. The dimensionless functions
, allowing the
determination of the depletion potential to third order in density
for arbitrary parameters.
Fig.3(a-d). Plots of typical depletion force
in units of
. The plots a-d correspond to reduced densities
respectively. Lines: 2nd order perturbation results. Dashed lines: 3rd order
perturbation results. Dots: numerical solutions of the full integral equation.
Fig.4(a-d). Plots of typical depletion potential
in units of
, for R/L=10, L/D=20. The plots a-d correspond to reduced
densities
respectively. Lines: 2nd order perturbation
results. Dashed lines: 3rd order perturbation results.
Dots: numerical solutions of the full integral equation.
Yong Mao
Tue Sep 17 16:40:38 BST 1996