Depletion potential in hard-sphere fluids

Europhysics Letters

Volumn 47, Issue 3, 1999, Pages 398-404

  Gotzelmann B ^a   Roth, R ^a   Dietrich, S ^a   Dijkstra, M ^b   Evans, R ^b  

^a UNIVERSITY OF WUPPERTAL   (Germany)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033169341     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1999-00402-x     Document Type: Article

References (29)

1. ASAKURA S. and OOSAWA F., J. Chem. Phys., 22 (1954) 1255.
2. KAPLAN P. D., FAUCHEUX L. P. and LIBCHABER A. J., Phys. Rev. Lett., 73 (1994) 2793; OHSHIMA Y. N. et al., Phys. Rev. Lett., 78 (1997) 3963; SOBER D. L. and WALZ J. Y., Langmuir, 11 (1995) 2352; MILLING A. and BIGGS S., J. Colloid Sci., 170 (1995) 604; YE X. et al., Phys. Rev. E, 54 (1996) 6500; RUDHARDT D., BECHINGER C. and LEIDERER P., Phys. Rev. Lett., 81 (1998) 1330; VERMA R., CROCKER J. C., LUBENSKY T. C. and YODH A. G., Phys. Rev. Lett., 81 (1998) 4004.
3. KAPLAN P. D., FAUCHEUX L. P. and LIBCHABER A. J., Phys. Rev. Lett., 73 (1994) 2793; OHSHIMA Y. N. et al., Phys. Rev. Lett., 78 (1997) 3963; SOBER D. L. and WALZ J. Y., Langmuir, 11 (1995) 2352; MILLING A. and BIGGS S., J. Colloid Sci., 170 (1995) 604; YE X. et al., Phys. Rev. E, 54 (1996) 6500; RUDHARDT D., BECHINGER C. and LEIDERER P., Phys. Rev. Lett., 81 (1998) 1330; VERMA R., CROCKER J. C., LUBENSKY T. C. and YODH A. G., Phys. Rev. Lett., 81 (1998) 4004.
4. KAPLAN P. D., FAUCHEUX L. P. and LIBCHABER A. J., Phys. Rev. Lett., 73 (1994) 2793; OHSHIMA Y. N. et al., Phys. Rev. Lett., 78 (1997) 3963; SOBER D. L. and WALZ J. Y., Langmuir, 11 (1995) 2352; MILLING A. and BIGGS S., J. Colloid Sci., 170 (1995) 604; YE X. et al., Phys. Rev. E, 54 (1996) 6500; RUDHARDT D., BECHINGER C. and LEIDERER P., Phys. Rev. Lett., 81 (1998) 1330; VERMA R., CROCKER J. C., LUBENSKY T. C. and YODH A. G., Phys. Rev. Lett., 81 (1998) 4004.
5. KAPLAN P. D., FAUCHEUX L. P. and LIBCHABER A. J., Phys. Rev. Lett., 73 (1994) 2793; OHSHIMA Y. N. et al., Phys. Rev. Lett., 78 (1997) 3963; SOBER D. L. and WALZ J. Y., Langmuir, 11 (1995) 2352; MILLING A. and BIGGS S., J. Colloid Sci., 170 (1995) 604; YE X. et al., Phys. Rev. E, 54 (1996) 6500; RUDHARDT D., BECHINGER C. and LEIDERER P., Phys. Rev. Lett., 81 (1998) 1330; VERMA R., CROCKER J. C., LUBENSKY T. C. and YODH A. G., Phys. Rev. Lett., 81 (1998) 4004.
6. KAPLAN P. D., FAUCHEUX L. P. and LIBCHABER A. J., Phys. Rev. Lett., 73 (1994) 2793; OHSHIMA Y. N. et al., Phys. Rev. Lett., 78 (1997) 3963; SOBER D. L. and WALZ J. Y., Langmuir, 11 (1995) 2352; MILLING A. and BIGGS S., J. Colloid Sci., 170 (1995) 604; YE X. et al., Phys. Rev. E, 54 (1996) 6500; RUDHARDT D., BECHINGER C. and LEIDERER P., Phys. Rev. Lett., 81 (1998) 1330; VERMA R., CROCKER J. C., LUBENSKY T. C. and YODH A. G., Phys. Rev. Lett., 81 (1998) 4004.
7. KAPLAN P. D., FAUCHEUX L. P. and LIBCHABER A. J., Phys. Rev. Lett., 73 (1994) 2793; OHSHIMA Y. N. et al., Phys. Rev. Lett., 78 (1997) 3963; SOBER D. L. and WALZ J. Y., Langmuir, 11 (1995) 2352; MILLING A. and BIGGS S., J. Colloid Sci., 170 (1995) 604; YE X. et al., Phys. Rev. E, 54 (1996) 6500; RUDHARDT D., BECHINGER C. and LEIDERER P., Phys. Rev. Lett., 81 (1998) 1330; VERMA R., CROCKER J. C., LUBENSKY T. C. and YODH A. G., Phys. Rev. Lett., 81 (1998) 4004.
8. KAPLAN P. D., FAUCHEUX L. P. and LIBCHABER A. J., Phys. Rev. Lett., 73 (1994) 2793; OHSHIMA Y. N. et al., Phys. Rev. Lett., 78 (1997) 3963; SOBER D. L. and WALZ J. Y., Langmuir, 11 (1995) 2352; MILLING A. and BIGGS S., J. Colloid Sci., 170 (1995) 604; YE X. et al., Phys. Rev. E, 54 (1996) 6500; RUDHARDT D., BECHINGER C. and LEIDERER P., Phys. Rev. Lett., 81 (1998) 1330; VERMA R., CROCKER J. C., LUBENSKY T. C. and YODH A. G., Phys. Rev. Lett., 81 (1998) 4004.
9. DINSMORE A. D., WONG D. T., NELSON P. and YODH A. G., Phys. Rev. Lett., 80 (1998) 409.
10. ATTARD P., J. Chem. Phys., 91 (1989) 3083.
11. ATTARD P. and PATEY G. N., J. Chem. Phys., 92 (1990) 4970; ATTARD P. and PARKER J. L., J. Chem. Phys., 96 (1992) 5086.
12. ATTARD P. and PATEY G. N., J. Chem. Phys., 92 (1990) 4970; ATTARD P. and PARKER J. L., J. Chem. Phys., 96 (1992) 5086.
13. MAO Y., CATES M. E. and LEKKERKERKER H. N. W., Physica A, 222 (1995) 10.
14. GÖTZELMANN B., EVANS R. and DIETRICH S., Phys. Rev. E, 57 (1998) 6785.
15. BIBEN T., BLADON P. and FRENKEL D., J. Phys. Condens. Matter, 8 (1996) 10799.
16. DICKMAN R., ATTARD P. and SIMONIAN V., J. Chem. Phys., 107 (1997) 205.
17. An accurate theory of the depletion potential is also required for effective Hamiltonian studies of the phase behavior of binary hard-sphere mixtures: DIJKSTRA M., VAN ROIJ R. and EVANS R., Phys. Rev. Lett., 81 (1998) 2268; 82 (1999) 117.
18. An accurate theory of the depletion potential is also required for effective Hamiltonian studies of the phase behavior of binary hard-sphere mixtures: DIJKSTRA M., VAN ROIJ R. and EVANS R., Phys. Rev. Lett., 81 (1998) 2268; 82 (1999) 117.
19. The theory has already been applied to the calculation of depletion potentials for particles inside and outside of a hard spherical cavity, mimicking the experimental situation of ref. [3] - see ROTH R., GÖTZELMANN B. and DIETRICH S., Phys. Rev. Lett., in press; preprint cond-mat/9901044.
20. HENDERSON J. R., Mol. Phys., 50 (1983) 741; see in particular eqs. (12) and (18).
21. EVANS R., Adv. Phys., 28 (1979) 143.
22. GÖTZELMANN B., Ph.D. thesis. Bergische Universität Wuppertal (1998).
23. ROSENFELD Y., Phys. Rev. Lett., 63 (1989) 980.
24. TORRIE G. M. and VALLEAU J. P., J. Comp. Phys., 23 (1977) 187.
25. s = 0.3 and s = 0.1, where an alternative procedure seems necessary. This constant shift does not affect the barrier height [9].
26. EVANS R., LEOTE DE CARVALHO R. J. F., HENDERSON J. R., and HOYLE D. C., J. Chem. Phys., 100 (1994) 591.
27. 1 characterize the asymptotic decay of the depletion potential between two big spheres immersed in the given small-sphere fluid.
28. EVANs R., in fundamentals of Inhomogeneous Fluids, edited by D. HENDERSON (Dekker, New York) 1992, p. 85; and references therein.
29. We have checked that using a sophisticated extension of the Rosenfeld functional due to ROSENFELD Y., SCHMIDT M., LÖWEN H. and TARAZONA P., Phys. Rev. E, 55 (1997) 4245 does not lead to any significant changes in our results.