Colloidal glass transition: Beyond mode-coupling theory

Physical Review Letters

Volumn 90, Issue 22, 2003, Pages 2283011-2283014

  Szamel, Grzegorz ^a  

^a Department of Ecosystem Science and Sustainability   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; EQUATIONS OF MOTION; GLASS TRANSITION; PROBABILITY DENSITY FUNCTION; SUSPENSIONS (FLUIDS);

MODE-COUPLING THEORY;

COLLOIDS;

EID: 0037777593     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. For a general introduction see, e.g., J. K. G. Dhont, An Introduction to Dynamics of Colloids (Elsevier, New York, 1996); for a very recent overview emphasizing connections between diffusional and viscoelastic properties see G. Nägele, J. Phys. Condens. Matter 15, S407 (2003).
2. For a general introduction see, e.g., J. K. G. Dhont, An Introduction to Dynamics of Colloids (Elsevier, New York, 1996); for a very recent overview emphasizing connections between diffusional and viscoelastic properties see G. Nägele, J. Phys. Condens. Matter 15, S407 (2003).
3. See, e.g., W. K. Kegel and A. van Blaaderen, Science 287, 290 (2000); E. R. Weeks and D. A. Weitz, Phys. Rev. Lett. 89, 095704 (2002).
4. See, e.g., W. K. Kegel and A. van Blaaderen, Science 287, 290 (2000); E. R. Weeks and D. A. Weitz, Phys. Rev. Lett. 89, 095704 (2002).
5. See, e.g., W. Härtl, Curr. Opin. Colloid Interface Sci. 6, 479 (2001); K. A. Dawson, ibid. 7, 218 (2002).
6. See, e.g., W. Härtl, Curr. Opin. Colloid Interface Sci. 6, 479 (2001); K. A. Dawson, ibid. 7, 218 (2002).
7. M. E. Cates, cond-mat/0211066.
8. W. Götze, in Liquids, Freezing and Glass Transition, editedy by J. P. Hansen, D. Levesque, and J. Zinn-Justin (North-Holland, Amsterdam, 1991).
9. G. Szamel and H. Löwen, Phys. Rev. A 44, 8215 (1991).
10. This applies to systems in which hydrodynamic interactions can be neglected: strongly charged suspensions or simulated many-particle systems with Brownian dynamics. For real hard-sphere-like suspensions, neglecting hydrodynamic interactions (or including them via a rescaling procedure [M. Medina-Noyola, Phys. Rev. Lett. 60, 2705 (1988)]) constitutes an additional approximation; the importance of this approximation is largely unknown.
11. There are several ways to derive MCT. Here we discuss the original projection operator technique [5] since it is the one used to derive the new theory.
12. Note that for Brownian systems one has to use irreducible memory function [S. J. Pitts and H. C. Andersen, J. Chem. Phys. 113, 3945 (2000]; see also Ref. [10]).
13. B. Cichocki and W. Hess, Physica (Amsterdam) 141A, 475 (1987).
14. For Newtonian systems expressing the memory function in terms of pair-density correlation function neglects couplings to current modes. Within extended MCT currents restore ergodicity and cut off the ideal glass transition [W. Götze and L. Sjögren, Z. Phys. B 65, 415 (1987)].
15. G. Nägele and J. Bergenholtz, J. Chem. Phys. 108, 9893 (1998).
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18. W. van Megen, S. M. Underwood, and P. N. Pusey, Phys. Rev. Lett. 67, 1586 (1991).
19. M. Nauroth and W. Kob, Phys. Rev. E 55, 657 (1997). This work discusses a Newtonian system; within MCT the location of the transition does not depend on the microscopic dynamics [6].
20. R. Schilling and G. Szamel, Europhys. Lett. 61, 207 (2003).
21. C. Z.-W. Liu and I. Oppenheim, Physica (Amsterdam) 247A, 183 (1997).
22. For a similar idea in a different context, see K. Miyazaki and A. Yethiraj, J. Chem. Phys. 117, 10448 (2002).
23. Following prior works on the colloidal glass transition, hydrodynamic interactions are neglected.
24. Equation (9) is exact for systems with pair wise-additive interactions.
25. G. Szamel (to be published).