Critical decay at higher-order glass-transition singularities

Journal of Physics Condensed Matter

Volumn 16, Issue 42, 2004, Pages

  Gotze W ^a   Sperl, M ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COLLOIDS; COOLING; DIELECTRIC LOSSES; MATHEMATICAL MODELS; POLYNOMIALS; RELAXATION PROCESSES;

GLASS FORMING SYSTEMS; GLASS TRANSITION SINGULARITIES; MODE COUPLING THEORY; STRUCTURAL RELAXATION;

GLASS TRANSITION;

EID: 8344266036     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/16/42/001     Document Type: Conference Paper

References (37)

1. Bengtzelius U, Götze W and Sjölander A 1984 Dynamics of supercooled liquids and the glass transition J. Phys. C: Solid State Phys. 17 5915-34
2. Götze W 1991 Aspects of structural glass transitions Liquids, Freezing and Glass Transition (Les Houches Summer Schools of Theoretical Physics volume Session LI (1989)) ed J P Hansen, D Levesque and J Zinn-Justin (Amsterdam: North-Holland) pp 287-503
3. Götze W and Sjögren L 1995 General properties of certain non-linear integro-differential equations J. Math. Anal. Appl. 195 230-50
4. Franosch T and Voigtmann Th 2002 Completely monotone solutions of the mode-coupling theory for mixtures J. Stat. Phys. 109 237-59
5. Arnol'd V I 1992 Catastrophe Theory 3rd edn (Berlin: Springer)
6. Götze W and Haussmann R 1988 Further phase transition scenarios described by the self consistent current relaxation theory Z. Phys. B 72 403-12
7. Götze W and Sjögren L 1989 Logarithmic decay laws in glassy systems J. Phys.: Condens. Matter 1 4203-22
8. Sjögren L 1991 Dynamical scaling laws in polymers near the glass transition J. Phys.: Condens. Matter 3 5023-45
9. Flach S, Götze W and Sjögren L 1992 The A4 glass transition singularity Z. Phys. B 87 29-42
10. Halalay I C 1996 A mode-coupling theory catastrophe scenario description of relaxations in semicrystalline nylons J. Phys.: Condens. Matter 8 6157-73
11. Eliasson H 2001 Mode-coupling theory and polynomial fitting functions: a complex-plane representation of dielectric data on polymers Phys. Rev. E 64 011802
12. Bengtzelius U 1986 Theoretical calculations on liquid-glass transitions in Lennard-Jones systems Phys. Rev. A 33 3433-9
13. Fabbian L, Götze W, Sciortino F, Tartaglia P and Thiery F 1999 Ideal glass-glass transitions and logarithmic decay of correlations in a simple system Phys. Rev. E 59 R1347-50 Fabbian L, Götze W, Sciortino F, Tartaglia P and Thiery F 1999 Ideal glass-glass transitions and logarithmic decay of correlations in a simple system Phys. Rev. E 60 2430
14. Fabbian L, Götze W, Sciortino F, Tartaglia P and Thiery F 1999 Ideal glass-glass transitions and logarithmic decay of correlations in a simple system Phys. Rev. E 59 R1347-50 Fabbian L, Götze W, Sciortino F, Tartaglia P and Thiery F 1999 Ideal glass-glass transitions and logarithmic decay of correlations in a simple system Phys. Rev. E 60 2430
15. Bergenholtz J and Fuchs M 1999 Non-ergodicity transitions in colloidal suspensions with attractive interactions Phys. Rev. E 59 5706-15
16. Dawson K, Foffi G, Fuchs M, Götze W, Sciortino F, Sperl M, Tartaglia P, Voigtmann Th and Zaccarelli E 2001 Higher order glass-transition singularities in colloidal systems with attractive interactions Phys. Rev. E 63 011401
17. Götze W and Sperl M 2003 Higher-order glass-transition singularities in systems with short-ranged attractive potentials J. Phys.: Condens. Matter 15 S869-79
18. Eckert T and Bartsch E 2002 Re-entrant glass transition in a colloid-polymer mixture with depletion attractions Phys. Rev. Lett. 89 125701
19. Pham K N, Puertas A M, Bergenholtz J, Egelhaaf S U, Moussaïd A, Pusey P N, Schofield A B, Cates M E, Fuchs M and Poon W C K 2002 Multiple glassy states in a simple model system Science 296 104-6
20. Pham K N, Egelhaaf S U, Pusey P N and Poon W C K 2004 Glasses in hard spheres with short-range attraction Phys. Rev. E 69 011503
21. Foffi G, Dawson K A, Buldyrev S V, Sciortino F, Zaccarelli E and Tartaglia P 2002 Evidence for unusual dynamical arrest scenario in short ranged colloidal systems Phys. Rev. E 65 050802
22. Zaccarelli E, Foffi G, Dawson K A, Buldyrev S V, Sciortino F and Tartaglia P 2002 Confirmation of anomalous dynamical arrest in attractive colloids: a molecular dynamics study Phys. Rev. E 66 041402
23. Puertas A M, Fuchs M and Cates M E 2003 Simulation study of non-ergodicity transitions: gelation in colloidal systems with short range attractions Phys. Rev. E 67 031406
24. Mallamace F, Gambadauro P, Micali N, Tartaglia P, Liao C and Chen S-H 2000 Kinetic glass transition in a micellar system with short-range attractive interaction Phys. Rev. Lett. 84 5431-4
25. Götze W and Sperl M 2002 Logarithmic relaxation in glass-forming systems Phys. Rev. E 66 011405
26. Sperl M 2004 Logarithmic decay in a two-component model Slow Dynamics in Complex Systems (AIP Conf. Proc. vol 708) ed M Tokuyama and I Oppenheim (New York: American Institute of Physics)
27. Sperl M 2003 Logarithmic relaxation in a colloidal system Phys. Rev. E 68 031405
28. Sperl M 2004 Dynamics in colloidal liquids near a crossing of glass- and gel-transition lines Phys. Rev. E 69 011401
29. Puetas A M, Fuchs M and Cates M E 2002 Comparative simulation study of colloidal gels and glasses Phys. Rev. Lett. 88 098301
30. Sciortino F, Tartaglia P and Zaccarelli E 2003 Evidence of a higher-order singularity in dense short-ranged attractive colloids Phys. Rev. Lett. 91 268301
31. Götze W and Sjögren L 1992 Relaxation processes in supercooled liquids Rep. Prog. Phys. 55 241-376
32. Feller W 1971 An Introduction to Probability Theory and Its Applications 2nd edn, vol II (New York: Wiley)
33. Abramowitz M and Stegun I A 1970 Handbook of Mathematical Functions 7th edn (New York; Dover)
34. Speri M 2003 Asymptotic laws near higher-order glass-transition singularities PhD Thesis TU München
35. Götze W and Sjögren L 1984 A dynamical treatment of the spin glass transition J. Phys. C: Solid State Phys. 17 5759-84
36. Gantmacher F R 1974 The Theory of Matrices vol II (New York: Chelsea)
37. Bosse J and Krieger U 1987 Relaxation of a simple molten salt near the liquid-glass transition J. Phys. C: Solid State Phys. 19 L609-13