Mode-coupling theory

Journal of Statistical Mechanics: Theory and Experiment

Volumn , Issue 5, 2005, Pages 267-289

  Reichman, David R ^a,b   Charbonneau, Patrick ^a  

^a HARVARD UNIVERSITY   (United States)

^b Howard Hughes Medical Institute   (United States)

Author keywords

Dynamical heterogeneities (theory); Mode coupling theory; Slow relaxation and glassy dynamics; Supercooled liquids (theory)

Indexed keywords

EID: 21244498520     PISSN: 17425468     EISSN: None     Source Type: Journal    
DOI: 10.1088/1742-5468/2005/05/P05013     Document Type: Review

References (23)

1. Balucani U and Zoppi M 1994 Dynamics of the Liquid State (New York: Oxford University Press) (General reference on liquid state theory and on memory functions)
2. Boon J-P and Yip S 1980 Molecular Hydrodynamics (New York: McGraw-Hill) (General reference on liquid state theory and on memory functions)
3. Hansen J-P and McDonald I R 1986 Theory of Simple Liquids (London: Academic) (General reference on liquid state theory and on memory functions)
4. Ediger M D, Angell C A and Nagel S R 1996 Supercooled liquids and glasses J. Phys. Chem. 100 13200 (A good review of glass-forming liquids)
5. Kob W 2002 Supercooled liquids, the glass transition, and computer simulations Lecture Notes for Les Houches 2002 Summer School-Session LXXVII: Slow Relaxations and Nonequilibrium Dynamics in Condensed Matter p.47 [cond-mat/0212344] (A good review of MCT and tests of MCT with simulation)
6. Götze W 1999 Recent tests of the mode-coupling theory for glassy dynamics J. Phys.: Condens. Matter 11 A1 (A good review of MCT and tests of MCT with simulation)
7. Leutheusser E 1984 Dynamical model of the liquid-glass transition Phys. Rev. A 29 2765 (A discussion of the schematic MCT)
8. Bengtzelius U, Götze W and Sjölander A 1984 Dynamics of supercooled liquids and the glass-transition J. Phys. C: Solid State Phys. 17 5915 (A discussion of the schematic MCT)
9. Dawson K, Foffi G, Fuchs M, Götze W, Sciortino F, Sperl M, Tartaglia P, Voigtmann T and Zaccarelli E 2001 Higher-order glass-transition singularities in colloidal systems with attractive interactions Phys. Rev. E 63 011401 (Predictions for behaviour in attractive colloidal suspensions)
10. Bouchaud J P, Cugliandolo L, Kurchan J and Mezard M 1996 Mode-coupling approximations, glass theory and disordered systems Physica A 226 243 (A discussion of the field-theoretic approach to schematic MCT)
11. Bouchaud J P, Cugliandolo L, Kurchan J and Mezard M 1997 Out of equilibrium dynamics in spin-glasses and other glassy systems Preprint cond-mat/9702070 (A discussion of the field-theoretic approach to schematic MCT)
12. This was also published in Young A P (ed) 1998 Spin Glasses and Random Fields (Directions in Condensed Matter Physics) (Singapore: World Scientific)
13. It should also be noted that in the above two references there are some typos that lead to an MCT equation with an incorrect sign. This was corrected in this version of the derivation.
14. Donati C, Douglas J F, Kob W, Plimpton S J, Poole P H and Glotzer S C 1998 Stringlike cooperative motion in a supercooled liquid Phys. Rev. Lett. 80 2338 (A discussion of the non-Gaussian parameter and dynamic heterogeneity)
15. Götze W and Sjögren L 1987 The glass-transition singularity Z. Phys. B 65 415 (Extended MCT via coupling to currents)
16. Das S and Mazenko G 1986 Fluctuating nonlinear hydrodynamics and the liquid-glass transition Phys. Rev. A 34 2265 (Extended MCT via coupling to currents)
17. Szamel G 2003 Colloidal glass transition: beyond mode-coupling theory Phys. Rev. Lett. 90 228301 (New closure for MCT)
18. Donati C, Glotzer S C, Poole P H, Kob W and Plimpton S J 1999 Spatial correlations of mobility and immobility in a glass-forming Lennard-Jones liquid Phys. Rev. E 60 3107 (A discussion of the non-Gaussian parameter and dynamic heterogeneity)
19. Kob W, Donati C, Plimpton S J, Poole P H and Glotzer S C 1997 Dynamical heterogeneities in a supercooled Lennard-Jones liquid Phys. Rev. Lett. 79 2827 (A discussion of the non-Gaussian parameter and dynamic heterogeneity)
20. 4(t) function)
21. 4(t))
22. 4(t) in the p Combining double low line 3 p-spin spin glass)
23. 4(t) and growing dynamical lengthscales in mean-field spin glasses)