Long-wavelength anomalies in the asymptotic behavior of mode-coupling theory

Journal of Physics Condensed Matter

Volumn 23, Issue 23, 2011, Pages

  Schnyder, S K ^a,b   Hofling F ^c,d   Franosch, T ^e   Voigtmann, Th ^a,b  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

^b UNIVERSITY OF KONSTANZ   (Germany)

^c MAX PLANCK INSTITUTE FOR INTELLIGENT SYSTEMS   (Germany)

^d UNIVERSITY OF STUTTGART   (Germany)

^e UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC BEHAVIORS; DYNAMIC BEHAVIORS; DYNAMIC CORRELATION FUNCTION; LONG WAVELENGTH; MEAN SQUARED DISPLACEMENT; MODE COUPLING THEORY; ORDER PARAMETER; TAGGED PARTICLE;

ASYMPTOTIC ANALYSIS;

GLASS TRANSITION;

EID: 79957834968     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/23/23/234121     Document Type: Article

References (50)

1. Kurzidim J, Coslovich D and Kahl G 2009 Phys. Rev. Lett. 103 138303
2. Kim K, Miyazaki K and Saito S 2009 Eur. Phys. Lett. 88 36002
3. Höfling F, Franosch T and Frey E 2006 Phys. Rev. Lett. 96 165901
4. Höfling F and Franosch T 2007 Phys. Rev. Lett. 98 140601
5. Höfling F, Munk T, Frey E and Franosch T 2008 J. Chem. Phys. 128 164517
6. Voigtmann Th and Horbach J 2009 Phys. Rev. Lett. 103 205901
7. Moreno A J and Colmenero J 2006 Phys. Rev. E 74 021409
8. Moreno A J and Colmenero J 2006 J. Chem. Phys. 125 164507
9. Höfling F, Bamberg K U and Franosch T 2011 Soft Matter 7 1358-63
10. Bunde A, Funke K and Ingram M D 1998 Solid State Ion. 105 1-13
11. Voigtmann Th and Horbach J 2006 Europhys. Lett. 74 459-65
12. Dingwell D B 1996 Science 273 1054-5
13. Voigtmann Th 2010 Multiple glasses in asymmetric binary hard spheres arXiv:1010.0440
14. Hajnal D, Brader J M and Schilling R 2009 Phys. Rev. E 80 021503
15. Krakoviack V 2005 Phys. Rev. Lett. 94 065703
16. Krakoviack V 2007 Phys. Rev. E 75 031503
17. Krakoviack V 2009 Phys. Rev. E 79 061501
18. Horbach J, Voigtmann Th, Höfling F and Franosch T 2010 Eur. Phys. J. Special Topics 189 141-5
19. Havlin S and Ben-Avraham D 2002 Adv. Phys. 51 187
20. Kammerer A, Höfling F and Franosch T 2008 Eur. Phys. Lett. 84 66002
21. Götze W 2009 Complex Dynamics of Glass-Forming Liquids (Oxford: Oxford University Press)
22. Götze W and Voigtmann Th 2003 Phys. Rev. E 67 021502
23. Franosch T and Götze W 1994 J. Phys.: Condens. Matter 6 4807
24. Götze W, Leutheusser E and Yip S 1981 Phys. Rev. A 23 2634-43
25. Götze W, Leutheusser E and Yip S 1981 Phys. Rev. A 24 1008-15
26. Götze W, Leutheusser E and Yip S 1982 Phys. Rev. A 25 533-9
27. Sjögren L 1986 Phys. Rev. A 33 1254-60
28. Leutheusser E 1983 Phys. Rev. A 28 1762-73
29. Resibois P and de Leener M 1977 Classical Kinetic Theory of Fluids (New York: Wiley)
30. Boon J P and Yip S 1980 Molecular Hydrodynamics (New York: McGraw-Hill)
31. Foffi G, Götze W, Sciortino F, Tartaglia P and Voigtmann Th 2003 Phys. Rev. Lett. 91 085701
32. Franosch T, Höfling F, Bauer T and Frey E 2010 Chem. Phys. 375 540-7
33. Franosch T and Voigtmann Th 2002 J. Stat. Phys. 109 237-59
34. Götze W and Mayr M R 2000 Phys. Rev. E 61 587-606
35. Götze W and Sjögren L 1995 J. Math. Anal. Appl. 195 230-50
36. Götze W, Singh A P and Voigtmann Th 2000 Phys. Rev. E 61 6934-49
37. Letz M, Schilling R and Latz A 2000 Phys. Rev. E 62 5173-8
38. Chong S H and Götze W 2002 Phys. Rev. E 65 041503
39. Chong S H and Götze W 2002 Phys. Rev. E 65 051201
40. Kämmerer S, Kob W and Schilling R 1997 Phys. Rev. E 56 5450-61
41. Chong S H, Moreno A J, Sciortino F and Kob W 2005 Phys. Rev. Lett. 94 215701
42. Porter D and Stirling D S G 1990 Integral Equations (Cambridge: Cambridge University Press)
43. Jentzsch R 1912 J. Reine Angew. Math. 141 235-44
44. Gripenberg G, Londen S O and Staffans O 1990 Volterra Integral and Functional Equations (Cambridge: Cambridge University Press)
45. van Beijeren H 1982 Rev. Mod. Phys. 54 195-234
46. Götze W, Prelovek P and Wölfle P 1979 Solid State Commun. 30 369-73
47. Schnyder S K 2010 Analysis of transport processes in glass-forming fluids in mode-coupling theory Diploma Thesis Universität Konstanz
48. Stauffer D and Aharony A 1994 Introduction to Percolation Theory revised 2nd edn (London: Taylor and Francis)
49. Berges J, Tetradis N and Wetterich C 2002 Phys. Rep. 363 223-386
50. Kroy K, Cates M E and Poon W C K 2004 Phys. Rev. Lett. 92 148302