1. One liquid, two glasses. The anomalous dynamics in short ranged attractive colloids Francesco Sciortino Email: francesco.sciortino@phys.uniroma1.it Titolo ! Metastability and Landscapes in Complex Systems: Lyon 22-24 2003

2. In collaboration with ….. Giuseppe Foffi Piero Tartaglia Emanuela Zaccarelli Wolfgang Goetze, Thomas Voigtman, Mattias Sperl Kenneth Dawson collaboratori

3. riassunto Outline of the talk The HS glass (and some comparisons with MCT predictions… before getting rid of them) How can we modulate the localization length in the glass ? Study short-range attractive colloids ! -The MCT predictions for SW -Simulations -Experiments Glass-Glass ? Gels ? Hopping Phenomena ?

4. van Megen and S.M. Underwood Phys. Rev. Lett. 70, 2766 (1993) HS e MCT (t) HS (slow) dynamics

5. Dati Thomas Giuseppe Comparing MD data and MCT predictions for binary HS See next talk by G. Foffi

6. MCT fq BMLJ SiO 2

7. HS Hard Spheres at =0.58, the system freezes forming disordered aggregates. MCT transition =51.6% 1.W. van Megen and P.N. Pusey Phys. Rev. A 43, 5429 (1991) 2.U. Bengtzelius et al. J. Phys. C 17, 5915 (1984) 3.W. van Megen and S.M. Underwood Phys. Rev. Lett. 70, 2766 (1993) Potential V(r) r (No temperature, only density)

8. The mean square displacement (in the glass) The MSD in HS log(t) (0.1 ) 2 MSD

9. What if …. Hard Spheres Potential Square-Well short range attractive Potential Can the localization length be controlled in a different way ? What if we add a short-range attraction ? Attractive Glass lowering T

10. Log(t) Mean squared displacement repulsive attractive (0.1 ) 2 Figure 1 di Natmat A model with two different localization length How does the system change from one (glass) to the other ?

11. The MCT predictions for short-range attractive square well MCT predictions for short range attractive square-well hard-sphere glass (repulsive) Short-range attractive glass fluid Type B A3A3 Fluid-Glass on cooling and heating !! Controlled by Fabbian et al PRE R1347 (1999) Bergenholtz and Fuchs, PRE 59 5708 (1999)

12. Non ergodicity parameters for the two glasses Wavevector dependence of the non ergodicity parameter (plateau) along the glass line Fabbian et al PRE R1347 (1999) Bergenholtz and Fuchs, PRE 59 5708 (1999)

13. Isodiffusivity Isodiffusivity curves (from MD BHS) Zaccarelli et al PRE 2002

14. Correlatori lungo la linea Density-density correlators along the iso-diffusivity locus

15. Non-ergodicity factor Non ergodicity parameter along the isodiffusivity curve from MD

16. Sub diffusive ! ~(0.1 ) 2 R2 lungo la linea

17. Funzioni di correlazione MD simulation

18. Depletion Interactions Cartoons Depletion Interaction: A Cartoon

19. Science Pham et al Fig 1 Glass samples Fluid samples MCT fluid- glass line Fluid-glass line from experiments Temperature

20. Berths PRL (no polymer-with molymer) Colloidal-Polymer Mixture with Re-entrant Glass Transition in a Depletion Interactions T. Eckert and E. Bartsch Phys.Rev. Lett. 89 125701 (2002) HS (increasing ) Adding short-range attraction T. Eckert and E. Bartsch

21. Barsh PRL (phi effect) Temperature

22. Tracing the A4 point Theory and Simulation D 1.897 PY -0.3922 T MD 0.5882T PY - 0.225 PY PY + transformation FS et al cond-mat 2003

23. q (t)=f q -h q [B (1) ln(t/ ) + B (2) q ln 2 (t/ )]. Phi(t) Same T and, different

24. Phi hat q (t q (t)-f q )/h q ^

25. X (t)=f X -h X [B (1) ln(t/ ) + B (2) X ln 2 (t/ )]. H(q)

26. MSD logaritmico Slope 1 Slope less than 1

27. Check List Reentrance (glass-liquid-glass) (both simulation and experiments) A4 dynamics (simulation) Glass-glass transition Check List

28. Glass glass theory low T high T t

29. Jumping into the glass aging

30. Glass glass The attractive glass is not stable ! low T high T Zaccarelli et al cond-mat 2003

31. Bond No-bond t

32. A summary Nice model for theoretical and numerical simulation Very complex dynamics - benchmark for microscopic theories of super-cooled liquid and glasses (MCT does well!) Model for activated processes Isochoric Diffusivity Maxima - PEL studies (saddles and S conf ) ? A summary

33. Volume Fraction Temperature Liquid Repulsive Glass Attractive Glass Gel ? Glass-glass transition Non-adsorbing -polymer concentration glass line Summary 2 (and open questions) ! Activated Processes ? Fig 2 of Natmat

34. Structural Arrest Transitions in Colloidal Systems with Short-Range Attractions Taormina, Italy, December 2003. A workshop organized by Sow-Hsin Chen (MIT) (sowhsin@mit.edu) Francesco Mallamace (U of Messina) (mallamac@mail.unime.it) Francesco Sciortino (U of Rome La Sapienza) (francesco.sciortino@phys.uniroma1.it) Purpose: To discuss, in depth, the recent progress on both the mode coupling theory predictions and their experimental tests on various aspects of structural arrest transitions in colloidal systems with short-range attractions. http://server1.phys.uniroma1.it/DOCS/TAO/ Pubblicita Advertisement

35. Equations MCT ! Equazioni base della MCT

36. The cage effect (in HS) Explanation of the cage and analysis of correlation function Rattling in the cage Cage dynamics log(t) (t) fqfq