Statistical mechanics of homogeneous partly pinned fluid systems

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

Volumn 82, Issue 6, 2010, Pages

  Krakoviack, Vincent ^a  

^a Laboratoire de Chimie Organique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ADSORBED FLUIDS; ASYMMETRIC MIXTURES; DYNAMICS IN CONFINEMENT; FLUID SYSTEMS; MATRIX SYSTEMS; POROUS MATRIXS; THEORETICAL APPROACH; TWO-COMPONENT;

BINARY MIXTURES; COMPUTER SIMULATION; STATISTICAL MECHANICS;

FLUIDS;

EID: 78651399831     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.061501     Document Type: Article

References (81)

1. L. D. Gelb, K. E. Gubbins, R. Radhakrishnan, and M. Sliwinska-Bartkowiak, Rep. Prog. Phys. 62, 1573 (1999). 10.1088/0034-4885/62/12/201
2. M. Alcoutlabi and G. B. McKenna, J. Phys.: Condens. Matter 17, R461 (2005). 10.1088/0953-8984/17/15/R01
3. C. Alba-Simionesco, B. Coasne, G. Dosseh, G. Dudziak, K. E. Gubbins, R. Radhakrishnan, and M. Sliwinska-Bartkowiak, J. Phys.: Condens. Matter 18, R15 (2006). 10.1088/0953-8984/18/6/R01
4. E. Kierlik, M. L. Rosinberg, G. Tarjus, and P. Viot, Phys. Chem. Chem. Phys. 3, 1201 (2001). 10.1039/b008636n
5. E. Kierlik, P. A. Monson, M. L. Rosinberg, L. Sarkisov, and G. Tarjus, Phys. Rev. Lett. 87, 055701 (2001). 10.1103/PhysRevLett.87.055701
6. E. Kierlik, P. A. Monson, M. L. Rosinberg, and G. Tarjus, J. Phys.: Condens. Matter 14, 9295 (2002). 10.1088/0953-8984/14/40/319
7. M. L. Rosinberg, E. Kierlik, and G. Tarjus, Europhys. Lett. 62, 377 (2003). 10.1209/epl/i2003-00407-y
8. R. L. C. Vink, K. Binder, and H. Löwen, Phys. Rev. Lett. 97, 230603 (2006). 10.1103/PhysRevLett.97.230603
9. R. L. C. Vink, K. Binder, and H. Löwen, J. Phys.: Condens. Matter 20, 404222 (2008). 10.1088/0953-8984/20/40/404222
10. G. Pellicane, R. L. C. Vink, C. Caccamo, and H. Löwen, J. Phys.: Condens. Matter 20, 115101 (2008). 10.1088/0953-8984/20/11/115101
11. P. G. De Sanctis Lucentini and G. Pellicane, Phys. Rev. Lett. 101, 246101 (2008). 10.1103/PhysRevLett.101.246101
12. R. L. C. Vink, Soft Matter 5, 4388 (2009). 10.1039/b912135h
13. P. Gallo, R. Pellarin, and M. Rovere, Europhys. Lett. 57, 212 (2002). 10.1209/epl/i2002-00563-6
14. P. Gallo, R. Pellarin, and M. Rovere, Phys. Rev. E 67, 041202 (2003). 10.1103/PhysRevE.67.041202
15. P. Gallo, R. Pellarin, and M. Rovere, Phys. Rev. E 68, 061209 (2003). 10.1103/PhysRevE.68.061209
16. A. Attili, P. Gallo, and M. Rovere, J. Chem. Phys. 123, 174510 (2005). 10.1063/1.2102869
17. P. Gallo, A. Attili, and M. Rovere, Phys. Rev. E 80, 061502 (2009). 10.1103/PhysRevE.80.061502
18. K. Kim, Europhys. Lett. 61, 790 (2003). 10.1209/epl/i2003-00303-0
19. K. Kim, K. Miyazaki, and S. Saito, EPL 88, 36002 (2009). 10.1209/0295-5075/88/36002
20. V. Krakoviack, Phys. Rev. Lett. 94, 065703 (2005). 10.1103/PhysRevLett. 94.065703
21. V. Krakoviack, J. Phys.: Condens. Matter 17, S3565 (2005). 10.1088/0953-8984/17/45/049
22. V. Krakoviack, Phys. Rev. E 75, 031503 (2007). 10.1103/PhysRevE.75.031503
23. V. Krakoviack, Phys. Rev. E 79, 061501 (2009). 10.1103/PhysRevE.79.061501
24. J. Kurzidim, D. Coslovich, and G. Kahl, Phys. Rev. Lett. 103, 138303 (2009). 10.1103/PhysRevLett.103.138303
25. W. G. Madden and E. D. Glandt, J. Stat. Phys. 51, 537 (1988). 10.1007/BF01028471
26. L. A. Fanti, E. D. Glandt, and W. G. Madden, J. Chem. Phys. 93, 5945 (1990). 10.1063/1.459505
27. W. G. Madden, J. Chem. Phys. 96, 5422 (1992). 10.1063/1.462726
28. D. M. Ford and E. D. Glandt, J. Chem. Phys. 100, 2391 (1994). 10.1063/1.466485
29. J. A. Given and G. Stell, J. Chem. Phys. 97, 4573 (1992). 10.1063/1.463883
30. E. Lomba, J. A. Given, G. Stell, J. J. Weis, and D. Levesque, Phys. Rev. E 48, 233 (1993). 10.1103/PhysRevE.48.233
31. J. A. Given and G. Stell, Physica A 209, 495 (1994). 10.1016/0378- 4371(94)90200-3
32. M. L. Rosinberg, G. Tarjus, and G. Stell, J. Chem. Phys. 100, 5172 (1994). 10.1063/1.467182
33. M. Schmidt, Phys. Rev. E 66, 041108 (2002). 10.1103/PhysRevE.66.041108
34. M. Schmidt, J. Phys.: Condens. Matter 17, S3481 (2005). 10.1088/0953-8984/17/45/037
35. M. Schmidt, Phys. Rev. E 79, 031405 (2009). 10.1103/PhysRevE.79.031405
36. L. Lafuente and J. A. Cuesta, Phys. Rev. E 74, 041502 (2006). 10.1103/PhysRevE.74.041502
37. P. R. Van Tassel, J. Talbot, P. Viot, and G. Tarjus, Phys. Rev. E 56, R1299 (1997). 10.1103/PhysRevE.56.R1299
38. P. R. Van Tassel, J. Chem. Phys. 107, 9530 (1997). 10.1063/1.475249
39. S. L. Zhao, W. Dong, and Q. H. Liu, J. Chem. Phys. 127, 144701 (2007). 10.1063/1.2756835
40. S. L. Zhao, W. Dong, and Q. H. Liu, J. Mol. Liq. 136, 241 (2007). 10.1016/j.molliq.2007.08.005
41. P. R. Van Tassel, Phys. Rev. E 60, R25 (1999). 10.1103/PhysRevE.60.R25
42. L. Zhang and P. R. Van Tassel, J. Chem. Phys. 112, 3006 (2000). 10.1063/1.480874
43. L. Zhang and P. R. Van Tassel, Mol. Phys. 98, 1521 (2000). 10.1080/00268970009483357
44. L. Zhang, S. Cheng, and P. R. Van Tassel, Phys. Rev. E 64, 042101 (2001). 10.1103/PhysRevE.64.042101
45. W. G. Madden, J. Chem. Phys. 102, 5572 (1995). 10.1063/1.469287
46. V. Krakoviack, E. Kierlik, M. L. Rosinberg, and G. Tarjus, J. Chem. Phys. 115, 11289 (2001). 10.1063/1.1420752
47. G. Viramontes-Gamboa, J. L. Arauz-Lara, and M. Medina-Noyola, Phys. Rev. Lett. 75, 759 (1995). 10.1103/PhysRevLett.75.759
48. G. Viramontes-Gamboa, M. Medina-Noyola, and J. L. Arauz-Lara, Phys. Rev. E 52, 4035 (1995). 10.1103/PhysRevE.52.4035
49. M. A. Chávez-Rojo, R. Juárez-Maldonado, and M. Medina-Noyola, Phys. Rev. E 77, 040401 (R) (2008). 10.1103/PhysRevE.77.040401
50. R. Chang, K. Jagannathan, and A. Yethiraj, Phys. Rev. E 69, 051101 (2004). 10.1103/PhysRevE.69.051101
51. J. Mittal, J. R. Errington, and T. M. Truskett, Phys. Rev. E 74, 040102 (2006). 10.1103/PhysRevE.74.040102
52. W. Fenz, I. M. Mryglod, O. Prytula, and R. Folk, Phys. Rev. E 80, 021202 (2009). 10.1103/PhysRevE.80.021202
53. G. Cruz de León, J. M. Saucedo-Solorio, and J. L. Arauz-Lara, Phys. Rev. Lett. 81, 1122 (1998). 10.1103/PhysRevLett.81.1122
54. G. Cruz de León and J. L. Arauz-Lara, Phys. Rev. E 59, 4203 (1999). 10.1103/PhysRevE.59.4203
55. Multicomponent versions are possible for which every species has its own pinning fraction. The generalization of the results of the present work to this case is straightforward.
56. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed. (Academic Press, London, 2006).
57. I. M. Lifshits, S. A. Gredeskul, and L. A. Pastur, Introduction to the Theory of Disordered Systems (Wiley, New York, 1988).
58. A similar result for functions of only the fluid variables has been reported for heterogeneous partly pinned systems in Ref..
59. A. Meroni, D. Levesque, and J. J. Weis, J. Chem. Phys. 105, 1101 (1996). 10.1063/1.471954
60. D. F. Schwanzer, D. Coslovich, J. Kurzidim, and G. Kahl, Mol. Phys. 107, 433 (2009). 10.1080/00268970902845321
61. G. I. Menon and C. Dasgupta, Phys. Rev. Lett. 73, 1023 (1994). 10.1103/PhysRevLett.73.1023
62. C. Caccamo, Phys. Rep. 274, 1 (1996). 10.1016/0370-1573(96)00011-7
63. E. Kierlik, M. L. Rosinberg, G. Tarjus, and P. A. Monson, J. Chem. Phys. 106, 264 (1997). 10.1063/1.474134
64. m (- q, 0) ̄.
65. G. Nägele, J. Bergenholtz, and J. K. G. Dhont, J. Chem. Phys. 110, 7037 (1999). 10.1063/1.478609
66. J.-P. Boon and S. Yip, Molecular Hydrodynamics (Dover, New York, 1991).
67. A. J. Moreno and J. Colmenero, Phys. Rev. E 74, 021409 (2006). 10.1103/PhysRevE.74.021409
68. T. Voigtmann and J. Horbach, Phys. Rev. Lett. 103, 205901 (2009). 10.1103/PhysRevLett.103.205901
69. Following Ref., the likely reason for this is that the derivation of the mode-coupling theory for fluid-matrix systems critically relies on the distinction between connected and blocking correlation functions that do not make sense for bulk systems.
70. J. Kertész and J. Metzger, J. Phys. A 16, L735 (1983). 10.1088/0305-4470/16/18/010
71. A. Kammerer, F. Höfling, and T. Franosch, EPL 84, 66002 (2008). 10.1209/0295-5075/84/66002
72. F. Höfling, T. Franosch, and E. Frey, Phys. Rev. Lett. 96, 165901 (2006). 10.1103/PhysRevLett.96.165901
73. F. Höfling, T. Munk, E. Frey, and T. Franosch, J. Chem. Phys. 128, 164517 (2008). 10.1063/1.2901170
74. B. J. Sung and A. Yethiraj, Phys. Rev. Lett. 96, 228103 (2006). 10.1103/PhysRevLett.96.228103
75. B. J. Sung and A. Yethiraj, J. Phys. Chem. B 112, 143 (2008). 10.1021/jp0772068
76. B. J. Sung and A. Yethiraj, J. Chem. Phys. 128, 054702 (2008). 10.1063/1.2823735
77. S. Babu, J. C. Gimel, and T. Nicolai, J. Phys. Chem. B 112, 743 (2008). 10.1021/jp076342+
78. P. Scheidler, W. Kob, and K. Binder, J. Phys. Chem. B 108, 6673 (2004). 10.1021/jp036593s
79. J.-P. Bouchaud and G. Biroli, J. Chem. Phys. 121, 7347 (2004). 10.1063/1.1796231
80. A. Cavagna, T. S. Grigera, and P. Verrocchio, Phys. Rev. Lett. 98, 187801 (2007). 10.1103/PhysRevLett.98.187801
81. G. Biroli, J.-P. Bouchaud, A. Cavagna, T. S. Grigera, and P. Verrocchio, Nat. Phys. 4, 771 (2008). 10.1038/nphys1050