Dynamic free energies, cage escape trajectories, and glassy relaxation in dense fluids of uniaxial hard particles

Journal of Chemical Physics

Volumn 133, Issue 10, 2010, 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; COOPERATIVE ROTATION; DENSE FLUID; DIFFERENTIAL VOLUMES; DYNAMIC CROSSOVER; DYNAMIC FRAGILITY; ESCAPE PROCESS; ESCAPE TRAJECTORIES; FIRST-PASSAGE; FREE ENERGY SURFACE; GLASSY RELAXATION; HARD PARTICLES; HOPPING PROCESS; LANGEVIN EQUATION THEORY; LOCALIZATION LENGTH; MODE COUPLING THEORY; NON-MONOTONIC FUNCTION; NONDIMENSIONALIZATION; ORDERS OF MAGNITUDE; PARTICLE ROTATIONS; REAL-SPACE; ROTATIONAL MOTION; SHAPE ANISOTROPY; THERMALLY ACTIVATED; UNIVERSAL BEHAVIORS;

ANISOTROPIC FLUIDS; ANISOTROPY; ASPECT RATIO; DIFFERENTIAL EQUATIONS; FREE ENERGY; NONLINEAR EQUATIONS; TITRATION; VITRIFICATION; VOLUME FRACTION;

ROTATION;

ARTICLE; CHEMICAL MODEL; KINETICS; PARTICLE SIZE; SURFACE PROPERTY; THERMODYNAMICS;

KINETICS; MODELS, CHEMICAL; PARTICLE SIZE; SURFACE PROPERTIES; THERMODYNAMICS;

EID: 77956896589     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3483601     Document Type: Article

References (69)

1. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, Oxford, 1999).
2. W. C. K. Poon, J. Phys.: Condens. Matter JCOMEL 0953-8984 14, R859 (2002). 10.1088/0953-8984/14/33/201 (Pubitemid 34992276)
3. S. C. Glotzer and M. J. Solomon, Nature Mater. NMAACR 1476-1122 6, 557 (2007). 10.1038/nmat1949
4. A. van Blaaderen, Nature (London) NATUAS 0028-0836 439, 545 (2006). 10.1038/439545a (Pubitemid 43185369)
5. S. Jiang and Q. Chen M. Tripathy, E. Luijten, K. S. Schweizer, and S. Granick, Adv. Mater. (Weinheim, Ger.) ADVMEW 0935-9648 22, 1060 (2010). 10.1002/adma.200904094
6. S. C. Glotzer, M. J. Solomon, and N. A. Kotov, AIChE J. AICEAC 0001-1541 50, 2978 (2004). 10.1002/aic.10413 (Pubitemid 39664631)
7. V. N. Manoharan, M. T. Elseser, and D. J. Pine, Science SCIEAS 0036-8075 301, 483 (2003). 10.1126/science.1086189 (Pubitemid 36900299)
8. E. B. Mock, H. De Bruyn, B. S. Hawkett, R. G. Gilbert, and C. F. Zukoski, Langmuir LANGD5 0743-7463 22, 4037 (2006) 10.1021/la060003a
9. P. M. Johnson, C. M. van Kats, and A. van Blaaderen, Langmuir LANGD5 0743-7463 21, 11510 (2005) 10.1021/la0518750 (Pubitemid 41775124)
10. T. Sun and Y. Xia, Science SCIEAS 0036-8075 298, 2176 (2002). 10.1126/science.1077229 (Pubitemid 35471239)
11. C. A. Angell, K. L. Ngai, G. B. McKenna, P. F. McMillan, and S. W. Martin, J. Appl. Phys. JAPIAU 0021-8979 88, 3113 (2000). 10.1063/1.1286035
12. M. Letz, R. Schilling, and A. Latz, Phys. Rev. E PLEEE8 1063-651X 62, 5173 (2000) 10.1103/PhysRevE.62.5173
13. C. Theis, F. Sciortino, A. Latz, R. Schilling, and P. Tartaglia, Phys. Rev. E PLEEE8 1063-651X 62, 1856 (2000). 10.1103/PhysRevE.62.1856
14. S. -H Chong and W. Götze, Phys. Rev. E PLEEE8 1063-651X 65, 041503 (2002) 10.1103/PhysRevE.65.041503 (Pubitemid 40629610)
15. S. -H Chong and W. Götze, Phys. Rev. E PLEEE8 1063-651X 65, 051201 (2002). 10.1103/PhysRevE.65.051201 (Pubitemid 40618331)
16. G. Yatsenko and K. S. Schweizer, J. Chem. Phys. JCPSA6 0021-9606 126, 014505 (2007) 10.1063/1.2405354 (Pubitemid 46068404)
17. G. Yatsenko and K. S. Schweizer, Phys. Rev. E PLEEE8 1063-651X 76, 014505 (2007) 10.1103/PhysRevE.76.041506 (Pubitemid 350023324)
18. G. Yatsenko and K. S. Schweizer, Langmuir LANGD5 0743-7463 24, 7474 (2008). 10.1021/la8002492
19. M. Tripathy and K. S. Schweizer, J. Chem. Phys. JCPSA6 0021-9606 130, 244906 (2009). 10.1063/1.3157279
20. R. Zhang and K. S. Schweizer, Phys. Rev. E PLEEE8 1063-651X 80, 011502 (2009). 10.1103/PhysRevE.80.011502
21. A. J. Moreno, S. -H. Chong, W. Kob, and F. Sciortino, J. Chem. Phys. JCPSA6 0021-9606 123, 204505 (2005). 10.1063/1.2085030 (Pubitemid 41721287)
22. C. De Michele, R. Schilling, and F. Sciortino, Phys. Rev. Lett. PRLTAO 0031-9007 98, 265702 (2007). 10.1103/PhysRevLett.98.265702 (Pubitemid 47142707)
23. P. Pfleiderer, K. Milinkovic, and T. Schilling, Europhys. Lett. EULEEJ 0295-5075 84, 16003 (2008). 10.1209/0295-5075/84/16003
24. Th. Theenhaus, M. P. Allen, M. Letz, A. Latz, and R. Schilling, Eur. Phys. J. 8, 269 (2002).
25. S. -H. Chong, A. J. Moreno, F. Sciortino, and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 94, 215701 (2005). 10.1103/PhysRevLett.94.215701 (Pubitemid 41638016)
26. S. H. Chong and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 102, 025702 (2009). 10.1103/PhysRevLett.102.025702
27. A. Donev, I. Cisse, D. Sachs, E. A. Variano, F. H. Stillinger, R. Connelly, S. Torquato, and P. M. Chaikin, Science SCIEAS 0036-8075 303, 990 (2004). 10.1126/science.1093010 (Pubitemid 38209698)
28. S. R. Williams and A. P. Philipse, Phys. Rev. E PLEEE8 1063-651X 67, 051301 (2003). 10.1103/PhysRevE.67.051301
29. S. Sacanna, L. Rossi, A. Wouterse, and A. P. Philipse, J. Phys.: Condens. Matter JCOMEL 0953-8984 19, 376108 (2007). 10.1088/0953-8984/19/37/376108
30. W. Götze and T. Voightman, Phys. Rev. E PLEEE8 1063-651X 67, 021502 (2003). 10.1103/PhysRevE.67.021502
31. D. Hajnal, J. M. Brader, and R. Schilling, Phys. Rev. E PLEEE8 1063-651X 80, 021503 (2009). 10.1103/PhysRevE.80.021503
32. R. Kramb, R. Zhang, K. S. Schweizer, and C. F. Zukoski, Phys. Rev. Lett. PRLTAO 0031-9007 105, 055702 (2010). 10.1103/PhysRevLett.105.055702
33. W. Götze, Liquids, Freezing and the Glass Transition (North-Holland, Amsterdam, 1991)
34. W. Götze and L. Sjörgen, Rep. Prog. Phys. RPPHAG 0034-4885 55, 241 (1992) 10.1088/0034-4885/55/3/001
35. S. Das, Rev. Mod. Phys. RMPHAT 0034-6861 76, 785 (2004). 10.1103/RevModPhys.76.785 (Pubitemid 40180192)
36. E. R. Weeks and D. A. Weitz, Chem. Phys. CMPHC2 0301-0104 284, 361 (2002). 10.1016/S0301-0104(02)00667-5
37. G. Brambilla, D. El Masri, M. Pierno, L. Berthier, L. Cipelletti, G. Petekidis, and A. B. Schofield, Phys. Rev. Lett. PRLTAO 0031-9007 102, 085703 (2009). 10.1103/PhysRevLett.102.085703
38. S. K. Kumar, G. Szamel, and J. F. Douglas, J. Chem. Phys. JCPSA6 0021-9606 124, 214501 (2006). 10.1063/1.2192769 (Pubitemid 43877819)
39. Y. Brumer and D. R. Reichman, Phys. Rev. E PLEEE8 1063-651X 69, 041202 (2004). 10.1103/PhysRevE.69.041202
40. A. Heuer, J. Phys.: Condens. Matter JCOMEL 0953-8984 20, 373101 (2008) 10.1088/0953-8984/20/37/373101
41. A. Doliwa and A. Heuer, Phys. Rev. E PLEEE8 1063-651X 67, 030501 (2003). 10.1103/PhysRevE.67.030501
42. G. Szamel and E. Flenner, Europhys. Lett. EULEEJ 0295-5075 67, 779 (2004) 10.1209/epl/i2004-10117-6 (Pubitemid 39202894)
43. E. Flenner and G. Szamel, Phys. Rev. E PLEEE8 1063-651X 72, 031508 (2005). 10.1103/PhysRevE.72.031508 (Pubitemid 41782140)
44. L. Berthier and W. Kob, J. Phys.: Condens. Matter JCOMEL 0953-8984 19, 205130 (2007). 10.1088/0953-8984/19/20/205130 (Pubitemid 46653762)
45. E. J. Saltzman and K. S. Schweizer, J. Chem. Phys. JCPSA6 0021-9606 125, 044509 (2006) 10.1063/1.2217739 (Pubitemid 44179414)
46. E. J. Saltzman and K. S. Schweizer, Phys. Rev. E PLEEE8 1063-651X 74, 061501 (2006) 10.1103/PhysRevE.74.061501 (Pubitemid 44925331)
47. E. J. Saltzman and K. S. Schweizer, Phys. Rev. E PLEEE8 1063-651X 77, 051504 (2008). 10.1103/PhysRevE.77.051504 (Pubitemid 351768340)
48. K. S. Schweizer, Curr. Opin. Colloid Interface Sci. COCSFL 1359-0294 12, 297 (2007). 10.1016/j.cocis.2007.07.013 (Pubitemid 47626065)
49. P. Chaudhuri, L. Berthier, and W. Kob, Phys. Rev. Lett. PRLTAO 0031-9007 99, 060604 (2007). 10.1103/PhysRevLett.99.060604 (Pubitemid 47263149)
50. K. S. Schweizer and E. J. Saltzman, J. Chem. Phys. JCPSA6 0021-9606 119, 1181 (2003). 10.1063/1.1578632
51. K. S. Schweizer, J. Chem. Phys. JCPSA6 0021-9606 123, 244501 (2005). 10.1063/1.2137701 (Pubitemid 43032173)
52. K. S. Schweizer and G. Yatsenko, J. Chem. Phys. JCPSA6 0021-9606 127, 164505 (2007) 10.1063/1.2780861 (Pubitemid 350094865)
53. K. S. Schweizer, J. Chem. Phys. JCPSA6 0021-9606 127, 164506 (2007). 10.1063/1.2780863 (Pubitemid 350094866)
54. D. Chandler and H. C. Andersen, J. Chem. Phys. JCPSA6 0021-9606 57, 1930 (1972). 10.1063/1.1678513
55. T. Kirkpatrick and P. G. Wolynes, Phys. Rev. A PLRAAN 1050-2947 35, 3072 (1987). 10.1103/PhysRevA.35.3072
56. I. Pagonabarraga and M. E. Cates, Europhys. Lett. EULEEJ 0295-5075 55, 348 (2001). 10.1209/epl/i2001-00422-6
57. P. Debye, Polar Molecules (Dover, New York, 1929)
58. T. G. Lombardo, F. H. Stillinger, and P. G. Debenedetti, J. Chem. Phys. JCPSA6 0021-9606 125, 174507 (2006) 10.1063/1.2371111 (Pubitemid 44707844)
59. M. G. Mazza, N. Giovambattista, F. W. Starr, and H. E. Stanley, Phys. Rev. Lett. PRLTAO 0031-9007 96, 057803 (2006). 10.1103/PhysRevLett.96.057803 (Pubitemid 43271032)
60. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
61. F. Perrin, J. Phys. Radium JPRAAJ 0368-3842 5, 497 (1934). 10.1051/jphysrad:01934005010049700
62. L. Onsager, Ann. N.Y. Acad. Sci. ANYAA9 0077-8923 51, 627 (1949) 10.1111/j.1749-6632.1949.tb27296.x
63. R. Eppenga and D. Frenkel, Mol. Phys. MOPHAM 0026-8976 52, 1303 (1984). 10.1080/00268978400101951
64. M. Doi and S. F. Edwards, Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
65. J. S. Langer, Ann. Phys. ANPYA2 0003-3804 54, 258 (1969). 10.1016/0003-4916(69)90153-5
66. D. C. Viehman and K. S. Schweizer, Phys. Rev. E PLEEE8 1063-651X 78, 051404 (2008). 10.1103/PhysRevE.78.051404
67. H. A. Kramers, Physica (Amsterdam) PHYSAG 0031-8914 7, 284 (1940). 10.1016/S0031-8914(40)90098-2
68. K. N. Pham, A. M. Puertas, J. Bergenholtz, S. U. Egelhaff, A. B. Schofield, A. Moussaid, P. N. Pusey, M. E. Cates, M. Fuchs, and W. C. K. Poon, Science SCIEAS 0036-8075 296, 104 (2002). 10.1126/science.1068238 (Pubitemid 34280067)
69. R. Kramb, R. Zhang, K. S. Schweizer, and C. F. Zukoski, " Re-entrant kinetic arrest and elasticity of concentrated suspensions of spherical and nonspherical repulsive and attractive colloids.," J. Chem. Phys. JCPSA6 0021-9606 (to be submitted).