- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Short-ranged attractions in jammed liquids: How cooling can melt a glass

Phillip L. Geissler

David R. Reichman

  • Department of Chemistry, University of California, and Physical Biosciences and Materials Sciences Divisions, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

  • Department of Chemistry, Columbia University, 3000 Broadway, New York, New York 10027, USA

PDF

Phys. Rev. E 71, 031206 – Published 28 March, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.031206

Abstract

We demonstrate that an extended picture of kinetic constraints in glass-forming liquids is sufficient to explain dynamic anomalies observed in dense suspensions of strongly attracting colloidal particles. We augment a simple model of heterogeneous relaxation with static attractions between facilitating excitations, in a way that mimics the structural effect of short-ranged interparticle attractions. The resulting spatial correlations among facilitated and unfacilitated regions give rise to relaxation mechanisms that account for nonmonotonic dependence of relaxation times on attraction strength as well as logarithmic decay of density correlations in time. These unusual features are a simple consequence of spatial segregation of kinetic constraints, suggesting an alternative physical perspective on attractive colloids than that suggested by mode-coupling theory. Based on the behavior of our model, we predict a crossover from super-Arrhenius to Arrhenius temperature dependence as attractions become dominant at fixed packing fraction.

View figure in article

Article Text

References (34)

  1. H. C. Andersen, J. D. Weeks, and D. Chandler, Phys. Rev. A 4, 1597 (1971).
  2. M. D. Ediger, C. A. Angell, and S. R. Nagel, J. Phys. Chem. 100, 13 200 (1996).
  3. B. Doliwa and A. Heuer, Phys. Rev. Lett. 80, 4915 (1998).
  4. E. R. Weeks, J. C. Crocker, A. C. Levitt, A. Schofield, and D. A Weitz, Science 287, 627 (2000).
  5. K. N. Pham, A. M. Puertas, J. Bergenholtz, S. U. Egelhaaf, A. Moussaid, P. N. Pusey, A. B. Schofield, M. E. Cates, M. Fuchs, and W. C. K. Poon, Science 296, 104 (2002).
  6. S. H. Chen, W. R. Chen, and F. Mallamace, Science 300, 619 (2003).
  7. E. Zaccarelli, G. Foffi, K. A. Dawson, S. V. Buldyrev, F. Sciortino, and P. Tartaglia, Phys. Rev. E 66, 041402 (2002).
  8. A. M. Puertas, M. Fuchs, and M. E. Cates, Phys. Rev. Lett. 88, 098301 (2002).
  9. T. Eckert and E. Bartsch, Phys. Rev. Lett. 89, 125701 (2002).
  10. F. Sciortino, P. Tartaglia, and E. Zaccarelli, Phys. Rev. Lett. 91, 268301 (2003).
  11. K. N. Pham, S. U. Egelhaaf, P. N. Pusey, and W. C. K. Poon, Phys. Rev. E 69, 011503 (2004).
  12. E. Zaccarelli, F. Sciortino, S. V. Buldyrev, and P. Tartaglia, e-print cond-mat∕0310765.
  13. W. Götze and L. Sjögren, Rep. Prog. Phys. 55, 241 (1992).
  14. W. van Megen and P. N. Pusey, Phys. Rev. A 43, 5429 (1991).
  15. K. Dawson, G. Foffi, M. Fuchs, W. Götze, F. Sciortino, M. Sperl, P. Tartaglia, T. Voigtmann, and E. Zaccarelli, Phys. Rev. E 63, 011401 (2001).
  16. S. Butler and P. Harrowell, J. Chem. Phys. 95, 4454 (1991).
  17. D. N. Perera and P. Harrowell, J. Chem. Phys. 111, 5441 (1999).
  18. J.-P. Garrahan and D. Chandler, Phys. Rev. Lett. 89, 035704 (2002).
  19. J.-P. Garrahan and D. Chandler, Proc. Natl. Acad. Sci. U.S.A. 100, 9710 (2003).
  20. J. Jackle and S. Eisinger, Z. Phys. B: Condens. Matter 84, 115 (1991).
  21. G. H. Fredrickson and H. C. Andersen, Phys. Rev. Lett. 53, 1244 (1984).
  22. F. Ritort and P. Sollich, Adv. Phys. 52, 219 (2003).
  23. L. Berthier and J.-P. Garrahan, Phys. Rev. E 68, 041201 (2003).
  24. S. Whitelam, L. Berthier, and J.-P. Garrahan, Phys. Rev. Lett. 92, 185705 (2004).
  25. M. E. Cates, C. B. Holmes, M. Fuchs, and O. Henrich, in Unifying Concepts in Granular Materials and Glasses, edited by A. Coniglio, A. Fierro, H. J. Herrmann, and M. Nicodemi (Elsevier, Amsterdam 2004).
  26. D. Chandler, Introduction to Modern Statistical Mechanics (Oxford University Press, New York, 1987).
  27. P. Sollich and M. R. Evans, Phys. Rev. E 68, 031504 (2003).

  28. Although it is difficult to classify an athermal material as either strong or fragile, we view hard sphere interactions as a limit of sharp repulsion. Dense fluids of sharply repulsive particles, perhaps the best description of nonattractive colloidal suspensions, do exhibit the super-Arrhenius temperature dependence defining fragile glass-formers. See Ref. [2].

  29. W. C. K. Poon, K. N. Pham, S. U. Egelhaaf, and P. N. Pusey, J. Phys.: Condens. Matter 15, S269 (2003).
  30. D. R. Reichman, E. Rabani, and P. L. Geissler, J. Phys. Chem. B (to be published).
  31. A. Pan and D. Chandler (unpublished).
  32. J. P. Garrahan and L. Berthier (unpublished).
  33. T. A. Witten and L. M. Sander, Phys. Rev. Lett. 47, 1400 (1981).
  34. V. Prasad, V. Trappe, A. D. Dinsmore, P. N. Segre, L. Cipelletti, and D. A. Weitz, Faraday Discuss. 123, 1 (2003).

Outline

Information

Phys. Rev. E 71, 031206– Published 28 March, 2005
  • Received 10 August 2004

© 2005 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation