Density reduction and diffusion in driven two-dimensional colloidal systems through microchannels

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

Volumn 81, Issue 4, 2010, Pages

  Henseler, P ^a   Erbe, A ^a,b   Koppl M ^a   Leiderer, P ^a   Nielaba, P ^a  

^a UNIVERSITY OF KONSTANZ   (Germany)

^b INSTITUTE OF ION BEAM PHYSICS AND MATERIALS RESEARCH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

A-DENSITY; COLLOIDAL SYSTEM; DENSITY GRADIENTS; DENSITY REDUCTION; DIFFUSION BEHAVIOR; FLOW BEHAVIORS; INTERACTION ENERGIES; NUMBER OF LAYERS; REDUCTION ZONES; SELF-ORGANIZED;

EID: 77951129739     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.041402     Document Type: Article

References (47)

1. D. Helbing, P. Molnár, I. Farkas, and K. Bolay, Environ. Plann. B Plann. Des. 28, 361 (2001). 10.1068/b2697
2. M. Rex, H. Löwen, and C. N. Likos, Phys. Rev. E 72, 021404 (2005). 10.1103/PhysRevE.72.021404
3. M. Rex and H. Löwen, Phys. Rev. E 75, 051402 (2007). 10.1103/PhysRevE.75.051402
4. M. Rex and H. Löwen, Eur. Phys. J. E 26, 143 (2008). 10.1140/epje/i2007-10274-4
5. J. Chakrabarti, J. Dzubiella, and H. Löwen, Europhys. Lett. 61, 415 (2003). 10.1209/epl/i2003-00193-6
6. J. Chakrabarti, J. Dzubiella, and H. Löwen, Phys. Rev. E 70, 012401 (2004). 10.1103/PhysRevE.70.012401
7. J. Dzubiella and H. Löwen, J. Phys.: Condens. Matter 14, 9383 (2002). 10.1088/0953-8984/14/40/324
8. M. E. Leunissen, C. G. Christova, A.-P. Hynninen, C. P. Royall, A. I. Campbell, A. Imhof, M. Dijkstra, R. v. Roij, and A. v. Blaaderen, Nature (London) 437, 235 (2005). 10.1038/nature03946
9. B. J. van Wees, H. van Houten, C. W. J. Beenakker, J. G. Williamson, L. P. Kouwenhoven, D. van der Marel, and C. T. Foxon, Phys. Rev. Lett. 60, 848 (1988). 10.1103/PhysRevLett.60.848
10. D. A. Wharam, T. J. Thornton, R. Newbury, M. Pepper, H. Ahmed, J. E. F. Frost, D. G. Hasko, D. C. Peacock, D. A. Ritchie, and G. A. C. Jones, J. Phys. C 21, L209 (1988). 10.1088/0022-3719/21/8/002
11. E. Scheer, N. Agraït, J. C. Cuevas, A. Levy Yeyati, B. Ludoph, A. Martín-Rodero, G. Rubio Bollinger, J. M. van Ruitenbeek, and C. Urbina, Nature (London) 394, 154 (1998). 10.1038/28112
12. M. Dreher, F. Pauly, J. Heurich, J. C. Cuevas, E. Scheer, and P. Nielaba, Phys. Rev. B 72, 075435 (2005). 10.1103/PhysRevB.72.075435
13. F. Pauly, M. Dreher, J. K. Viljas, M. Hafner, J. C. Cuevas, and P. Nielaba, Phys. Rev. B 74, 235106 (2006). 10.1103/PhysRevB.74.235106
14. P. Glasson, V. Dotsenko, P. Fozooni, M. J. Lea, W. Bailey, G. Papageorgiou, S. E. Andresen, and A. Kristensen, Phys. Rev. Lett. 87, 176802 (2001). 10.1103/PhysRevLett.87.176802
15. G. Piacente and F. M. Peeters, Phys. Rev. B 72, 205208 (2005). 10.1103/PhysRevB.72.205208
16. R. Roth and D. Gillespie, Phys. Rev. Lett. 95, 247801 (2005). 10.1103/PhysRevLett.95.247801
17. T. M. Squires and S. R. Quake, Rev. Mod. Phys. 77, 977 (2005). 10.1103/RevModPhys.77.977
18. K. Zahn, R. Lenke, and G. Maret, Phys. Rev. Lett. 82, 2721 (1999). 10.1103/PhysRevLett.82.2721
19. K. Zahn, A. Wille, G. Maret, S. Sengupta, and P. Nielaba, Phys. Rev. Lett. 90, 155506 (2003). 10.1103/PhysRevLett.90.155506
20. P. Keim, G. Maret, U. Herz, and H. H. von Grünberg, Phys. Rev. Lett. 92, 215504 (2004). 10.1103/PhysRevLett.92.215504
21. C. Eisenmann, U. Gasser, P. Keim, and G. Maret, Phys. Rev. Lett. 93, 105702 (2004). 10.1103/PhysRevLett.93.105702
22. R. Bubeck, C. Bechinger, S. Neser, and P. Leiderer, Phys. Rev. Lett. 82, 3364 (1999). 10.1103/PhysRevLett.82.3364
23. R. Bubeck, Ph.D. thesis, University of Konstanz, Germany, 2002.
24. P. Henseler, Master's thesis, University of Konstanz, Germany, 2002.
25. I. V. Schweigert, V. A. Schweigert, and F. M. Peeters, Phys. Rev. Lett. 84, 4381 (2000). 10.1103/PhysRevLett.84.4381
26. Q.-H. Wei, C. Bechinger, D. Rudhardt, and P. Leiderer, Phys. Rev. Lett. 81, 2606 (1998). 10.1103/PhysRevLett.81.2606
27. C. Bechinger, M. Brunner, and P. Leiderer, Phys. Rev. Lett. 86, 930 (2001). 10.1103/PhysRevLett.86.930
28. W. Strepp, Ph. D. thesis, University of Konstanz, Germany, 2001.
29. W. Strepp, S. Sengupta, and P. Nielaba, Phys. Rev. E 66, 056109 (2002). 10.1103/PhysRevE.66.056109
30. R. Haghgooie and P. S. Doyle, Phys. Rev. E 70, 061408 (2004). 10.1103/PhysRevE.70.061408
31. R. Haghgooie, C. Li, and P. S. Doyle, Langmuir 22, 3601 (2006). 10.1021/la0601051
32. A. Ricci, Ph. D. thesis, Johannes Gutenberg University, Mainz, Germany (2006).
33. A. Ricci, P. Nielaba, S. Sengupta, and K. Binder, Phys. Rev. E 74, 010404 (R) (2006). 10.1103/PhysRevE.74.010404
34. A. Ricci, P. Nielaba, S. Sengupta, and K. Binder, Phys. Rev. E 75, 011405 (2007). 10.1103/PhysRevE.75.011405
35. Y. Xia and G. M. Whitesides, Angew. Chem. Int. Ed. 37, 550 (1998). 10.1002/(SICI)1521-3773(19980316)37:5<550::AID-ANIE550>3.0.CO;2-G
36. M. Köppl, P. Henseler, A. Erbe, P. Nielaba, and P. Leiderer, Phys. Rev. Lett. 97, 208302 (2006). 10.1103/PhysRevLett.97.208302
37. D. L. Ermak, J. Chem. Phys. 62, 4189 (1975). 10.1063/1.430300
38. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids (Oxford Science Publications, New York, 1987).
39. D. M. Heyes and J. R. Melrose, J. Non-Newtonian Fluid Mech. 46, 1 (1993). 10.1016/0377-0257(93)80001-R
40. R. Haghgooie and P. S. Doyle, Phys. Rev. E 72, 011405 (2005). 10.1103/PhysRevE.72.011405
41. L.-W. Teng, P.-S. Tu, and L. I, Phys. Rev. Lett. 90, 245004 (2003). 10.1103/PhysRevLett.90.245004
42. M. Kong, B. Partoens, A. Matulis, and F. M. Peeters, Phys. Rev. E 69, 036412 (2004). 10.1103/PhysRevE.69.036412
43. G. Piacente, I. V. Schweigert, J. J. Betouras, and F. M. Peeters, Phys. Rev. B 69, 045324 (2004). 10.1103/PhysRevB.69.045324
44. P. Henseler, Ph. D. thesis, University of Konstanz, Germany, 2008.
45. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College Publishing, Philadelphia, 1976).
46. A perfect triangular lattice fulfills the condition dx / dy =2/√3. In our case an overstretched lattice is given for dx / dy >2/√3. For a compressed lattice structure holds the condition dx / dy <2/√3.
47. measured the surface diffusion coefficient of the colloids to be ∼52% of the calculated Stokes diffusion coefficient D0 for their system, which is similar to our system.