Theory of coupled translational-rotational glassy dynamics in dense fluids of uniaxial particles

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 1, 2009, Pages

  Zhang, Rui ^a   Schweizer, Kenneth S ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATED DYNAMICS; BARRIER HOPPING; CENTER-OF-MASS; DENSE FLUID; DYNAMICAL STATE; DYNAMICAL VARIABLES; ENTROPIC BARRIER; ERGODIC MODELS; ERGODICS; FLUID REGIME; FREE ENERGY SURFACE; GLASSY DYNAMICS; HIGH-VOLUME FRACTIONS; LANGEVIN EQUATION; LANGEVIN EQUATION THEORY; MODE COUPLING THEORY; PLASTIC GLASS; PURE-ROTATION; ROTATION MOTIONS; ROTATIONAL DYNAMICS; ROTATIONAL MOTION; SADDLE POINT; SINGLE-PARTICLE; SMALL ASPECT RATIO; TIME-DEPENDENT; TRANSLATIONAL MOTIONS; TRIPLE POINTS;

ASPECT RATIO; EQUATIONS OF MOTION; FREE ENERGY; GLASS; NONLINEAR EQUATIONS; PHASE TRANSITIONS; PRESSURE DROP; ROTATIONAL FLOW; SPACECRAFT PROPULSION;

ROTATION;

EID: 68949115931     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.011502     Document Type: Article

References (70)

1. See, for example, K. L. Ngai J. Non-Cryst. Solids 275, 7 (2000) 10.1016/S0022-3093(00)00238-6
2. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. 88, 3113 (2000) 10.1063/1.1286035
3. J. C. Dyre, Rev. Mod. Phys. 78, 953 (2006). 10.1103/RevModPhys.78.953 (Pubitemid 44496728)
4. W. C. K. Poon, J. Phys.: Condens. Matter 14, R859 (2002). 10.1088/0953-8984/14/33/201 (Pubitemid 34992276)
5. G. J. Vroege and H. N. W. Lekkerkerker, Rep. Prog. Phys. 55, 1241 (1992). 10.1088/0034-4885/55/8/003
6. D. Thies-Weesie, A. P. Philipse, and S. Kluijtmans, J. Colloid Interface Sci. 174, 211 (1995) 10.1016/S0021-9797(85)90000-1
7. J. Buitenhius and A. P. Philipse, J. Colloid Interface Sci. 176, 272 (1995) 10.1006/jcis.1995.0032
8. J. Wijnhoven, D. van't Zand, D. van der Beek, and H. N. W. Lekkerkerker, Langmuir 21, 10422 (2005). 10.1021/la0513860
9. For reviews, see S. C. Glotzer and M. J. Solomon, Nature Mater. 6, 557 (2007) 10.1038/nmat1949
10. A. van Blaaderen, Nature (London) 439, 545 (2006) 10.1038/439545a
11. S. C. Glotzer, M. J. Solomon, and N. A. Kotov, AIChE J. 50, 2978 (2004). 10.1002/aic.10413 (Pubitemid 39664631)
12. V. N. Manoharan, M. T. Elseser, and D. J. Pine, Science 301, 483 (2003). 10.1126/science.1086189 (Pubitemid 36900299)
13. See, for example, E. B. Mock, H. De Bruyn, B. S. Hawkett, R. G. Gilbert, and C. F. Zukoski, Langmuir 22, 4037 (2006) 10.1021/la060003a
14. P. M. Johnson, C. M. van Kats, and A. van Blaaderen, Langmuir 21, 11510 (2005) 10.1021/la0518750
15. T. Sun and Y. Xia, Science 298, 2176 (2002). 10.1126/science.1077229 (Pubitemid 35471239)
16. W. Götze, Liquids, Freezing and the Glass Transition (North-Holland, Amsterdam, 1991)
17. W. Götze and L. Sjörgen, Rep. Prog. Phys. 55, 241 (1992). 10.1088/0034-4885/55/3/001
18. S. Das, Rev. Mod. Phys. 76, 785 (2004). 10.1103/RevModPhys.76.785 (Pubitemid 40180192)
19. R. Schilling, Phys. Rev. E 65, 051206 (2002) 10.1103/PhysRevE.65.051206
20. C. Theis, F. Sciortino, A. Latz, R. Schilling, and P. Tartaglia, Phys. Rev. E 62, 1856 (2000) 10.1103/PhysRevE.62.1856
21. M. Letz, R. Schilling, and A. Latz, Phys. Rev. E 62, 5173 (2000). 10.1103/PhysRevE.62.5173 (Pubitemid 30970428)
22. S.-H. Chong, and W. Götze, Phys. Rev. E 65, 041503 (2002) 10.1103/PhysRevE.65.041503
23. S.-H. Chong, and W. Götze, Phys. Rev. E 65, 051201 (2002). 10.1103/PhysRevE.65.051201
24. Th. Theenhaus, M. P. Allen, M. Letz, A. Latz, and R. Schilling, Eur. Phys. J. E 8, 269 (2002). 10.1140/epje/i2001-10093-7 (Pubitemid 36185004)
25. A. J. Moreno, S.-H. Chong, W. Kob, and F. Sciortino, J. Chem. Phys. 123, 204505 (2005) 10.1063/1.2085030
26. S.-H. Chong, A. J. Moreno, F. Sciortino, and W. Kob, Phys. Rev. Lett. 94, 215701 (2005). 10.1103/PhysRevLett.94.215701
27. P. Pfleiderer, K. Milinkovic, and T. Schilling, Europhys. Lett. 84, 16003 (2008). 10.1209/0295-5075/84/16003
28. S. H. Chong and W. Kob, Phys. Rev. Lett. 102, 025702 (2009). 10.1103/PhysRevLett.102.025702
29. K. S. Schweizer and E. J. Saltzman, J. Chem. Phys. 119, 1181 (2003) 10.1063/1.1578632
30. E. J. Saltzman and K. S. Schweizer, J. Chem. Phys. 119, 1197 (2003). 10.1063/1.1578633
31. E. J. Saltzman and K. S. Schweizer, J. Chem. Phys. 125, 044509 (2006) 10.1063/1.2217739
32. E. J. Saltzman and K. S. Schweizer, Phys. Rev. E 74, 061501 (2006) 10.1103/PhysRevE.74.061501
33. E. J. Saltzman and K. S. Schweizer, Phys. Rev. E 77, 051504 (2008). 10.1103/PhysRevE.77.051504 (Pubitemid 351768340)
34. G. Yatsenko and K. S. Schweizer, J. Chem. Phys. 126, 014505 (2007) 10.1063/1.2405354
35. G. Yatsenko and K. S. Schweizer, Phys. Rev. E 76, 041506 (2007) 10.1103/PhysRevE.76.041506
36. G. Yatsenko and K. S. Schweizer, Langmuir 24, 7474 (2008). 10.1021/la8002492
37. T. R. Kirkpatrick and P. G. Wolynes, Phys. Rev. A 35, 3072 (1987). 10.1103/PhysRevA.35.3072
38. Y. L. Chen and K. S. Schweizer, J. Chem. Phys. 120, 7212 (2004) 10.1063/1.1683077
39. Y. L. Chen, V. Kobelev, and K. S. Schweizer, Phys. Rev. E 71, 041405 (2005). 10.1103/PhysRevE.71.041405
40. D. C. Viehman and K. S. Schweizer, J. Chem. Phys. 128, 084509 (2008) 10.1063/1.2837295
41. D. C. Viehman and K. S. Schweizer, Phys. Rev. E 78, 051404 (2008). 10.1103/PhysRevE.78.051404
42. K. S. Schweizer, Curr. Opin. Colloid Interface Sci. 12, 297 (2007). 10.1016/j.cocis.2007.07.013 (Pubitemid 47626065)
43. Y. Brumer and D. R. Reichman, Phys. Rev. E 69, 041202 (2004). 10.1103/PhysRevE.69.041202
44. A. Donev, I. Cisse, D. Sachs, E. A. Variano, F. H. Stillinger, R. Connelly, S. Torquato, and P. M. Chaikin, Science 303, 990 (2004). 10.1126/science.1093010 (Pubitemid 38209698)
45. S. R. Williams and A. P. Philipse, Phys. Rev. E 67, 051301 (2003). 10.1103/PhysRevE.67.051301
46. K. S. Schweizer and G. Yatsenko, J. Chem. Phys. 127, 164505 (2007) 10.1063/1.2780861
47. K. S. Schweizer, J. Chem. Phys. 127, 164506 (2007). 10.1063/1.2780863 (Pubitemid 350094866)
48. D. Chandler and H. C. Andersen, J. Chem. Phys. 57, 1930 (1972). 10.1063/1.1678513
49. D. Chandler, in Studies in Statistical Mechanics, edited by, J. L. Lebowitz, and, E. W. Montroll, (North Holland, Amsterdam, 1982), Vol. 8, p. 275.
50. I. Pagonabarraga and M. E. Cates, Europhys. Lett. 55, 348 (2001). 10.1209/epl/i2001-00422-6
51. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic Press, New York, 2006.
52. M. Benmouna, H. Benoit, M. Duval, and Z. Akcasu, Macromolecules 20, 1107 (1987). 10.1021/ma00171a039
53. M. R. Harpham, B. M. Ladanyi, N. E. Levinger, and K. W. Herwig, J. Chem. Phys. 121, 7855 (2004). 10.1063/1.1792592
54. P. Debye, Polar Molecules (Dover, New York, 1929).
55. T. G. Lombardo, F. H. Stillinger, and P. G. Debenedetti, J. Chem. Phys. 125, 174507 (2006). 10.1063/1.2371111 (Pubitemid 44707844)
56. M. G. Mazza, N. Giovambattista, F. W. Starr, and H. E. Stanley, Phys. Rev. Lett. 96, 057803 (2006). 10.1103/PhysRevLett.96.057803 (Pubitemid 43271032)
57. S. Kammerer, W. Kob, and R. Schilling, Phys. Rev. E 56, 5450 (1997). 10.1103/PhysRevE.56.5450
58. P. G. Wolynes and J. M. Deutch, J. Chem. Phys. 67, 733 (1977). 10.1063/1.434881
59. D. M. Richardson and D. Chandler, J. Chem. Phys. 80, 4484 (1984), and references cited therein. 10.1063/1.447231
60. Use of the crude Vineyard approximation for the collective Debye Waller factor still results in the NMCT prediction of three dynamic phases. The shape of the plastic glass to double-glass boundary is qualitatively identical to its de Gennes narrowing based analog in Fig. 1. However, the dynamic triple point is destroyed, in strong disagreement with the most accurate version of NMCT and also the full ideal MCT.
61. K. S. Schweizer, J. Chem. Phys. 123, 244501 (2005). 10.1063/1.2137701 (Pubitemid 43032173)
62. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
63. J. S. Langer, Ann. Phys. 54, 258 (1969). 10.1016/0003-4916(69)90153-5
64. E. Zaccarelli, J. Phys.: Condens. Matter 19, 323101 (2007) 10.1088/0953-8984/19/32/323101
65. J. Bergenholtz and M. Fuchs, Phys. Rev. E 59, 5706 (1999) 10.1103/PhysRevE.59.5706
66. J. Bergenholtz, W. Poon, and M. Fuchs, Langmuir 19, 4493 (2003) 10.1021/la0340089
67. K. Dawson, G. Foffi, M. Fuchs, W. Götze, F. Sciortino, M. Sperl, P. Tartaglia, T. Voigtmann, and E. Zaccarelli, Phys. Rev. E 63, 011401 (2000). 10.1103/PhysRevE.63.011401
68. S. H. Chong, W. Gotze, and A. P. Singh, Phys. Rev. E 63, 011206 (2000). 10.1103/PhysRevE.63.011206
69. B. J. Berne and R. Pecora, Dynamic Light Scattering: With Applications to Chemistry, Biology, and Physics (Dover, New York, 2000).
70. T. Munk, F. Höflng, E. Fery, and T. Franosch, Europhys. Lett. 85, 30003 (2009). 10.1209/0295-5075/85/30003