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Nearly logarithmic decay in the colloidal hard-sphere system
Phys. Rev. E 71, 060401(R) – Published 13 June, 2005
DOI: https://doi.org/10.1103/PhysRevE.71.060401
Abstract
Nearly logarithmic decay is identified in the data for the mean-squared displacement of the colloidal hard-sphere system at the liquid-glass transition [W. van Megen et al., Phys. Rev. E 58, 6073 (1998)]. The solutions of the mode-coupling theory for the microscopic equations of motion fit the experimental data well. Based on these equations, the nearly logarithmic decay is explained as the equivalent of a -peak phenomenon, a manifestation of the critical relaxation when the coupling between of the probe variable and the density fluctuations is strong. In an asymptotic expansion, a Cole-Cole formula including corrections is derived from the microscopic equations of motion, which describes the experimental data for three decades in time.
Article Text
References (21)
- W. Kob, in Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter, edited by J.-L. Barrat, M. Feigelman, J. Kurchan, and J. Dalibard (Springer, Berlin, 2003), p. 199.
- G. Hinze, D. D. Brace, S. D. Gottke, and M. D. Fayer, Phys. Rev. Lett. 84, 2437 (2000); 84, 4783(E) (2000); J. Chem. Phys. 113, 3723 (2000); M. Ricci, P. Bartolini, and R. Torre, Philos. Mag. B 82, 541 (2002); H. Cang, V. N. Novikov, and M. D. Fayer, Phys. Rev. Lett. 90, 197401 (2003); J. Chem. Phys. 118, 2800 (2003).
- W. Götze and M. Sperl, Phys. Rev. Lett. 92, 105701 (2004).
- M. Sperl, Phys. Rev. E 68, 031405 (2003); F. Sciortino, P. Tartaglia, and E. Zaccarelli, Phys. Rev. Lett. 91, 268301 (2003).
- L. Berthier and J. P. Garrahan, J. Phys. Chem. B 109, 3578 (2005).
- W. Götze, in Liquids, Freezing and Glass Transition, edited by J. P. Hansen, D. Levesque, and J. Zinn-Justin (North Holland, Amsterdam, 1991), p. 287.
- J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 2nd ed. (Academic, London, 1986).
- U. Bengtzelius, W. Götze, and A. Sjölander, J. Phys. C 17, 5915 (1984).
- W. van Megen, Transp. Theory Stat. Phys. 24, 1017 (1995).
- T. Voigtmann, A. Puertas, and M. Fuchs, Phys. Rev. E 70, 061506 (2004).
- W. van Megen, T. C. Mortensen, S. R. Williams, and J. Müller, Phys. Rev. E 58, 6073 (1998).
- M. Fuchs, W. Götze, and M. R. Mayr, Phys. Rev. E 58, 3384 (1998).
- P. N. Segrè and P. N. Pusey, Phys. Rev. Lett. 77, 771 (1996).
- S.-H. Chong, W. Götze, and M. R. Mayr, Phys. Rev. E 64, 011503 (2001).
- M. Tokuyama, Y. Terada, and I. Oppenheim, Physica A 307, 27 (2002).
- W. Götze and L. Sjögren, J. Phys.: Condens. Matter 1, 4183 (1989).
- N. B. Simeonova and W. K. Kegel, Phys. Rev. Lett. 93, 035701 (2004).
- G. Foffi, W. Götze, F. Sciortino, P. Tartaglia, and T. Voigtmann, Phys. Rev. E 69, 011505 (2004).
- M. Tokuyama, H. Yamazaki, and Y. Terada, Phys. Rev. E 67, 062403 (2003); M. Tokuyama, Physica A 289, 57 (2001).
- H. Cang, J. Li, V. N. Novikov, and M. D. Fayer, J. Chem. Phys. 119, 10421 (2003).
- M. Fuchs and M. R. Mayr, Phys. Rev. E 60, 5742 (1999).