Transition from single-file to two-dimensional diffusion of interacting particles in a quasi-one-dimensional channel

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

Volumn 85, Issue 3, 2012, Pages

  Lucena, D ^a,b   Tkachenko, D V ^b   Nelissen, K ^a,b   Misko, V R ^b   Ferreira, W P ^a   Farias, G A ^a   Peeters, F M ^a,b  

^a FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

^b UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CONFINEMENT POTENTIAL; DIFFERENT DISTRIBUTIONS; DIFFERENT SHAPES; DIFFUSION REGIMES; DIFFUSIVE PROPERTIES; INFINITE CHANNELS; INTERACTING PARTICLES; MEAN SQUARED DISPLACEMENT; MOLECULAR DYNAMICS SIMULATIONS; MONODISPERSE SYSTEMS; PARABOLIC CONFINEMENTS; PARTICLE DENSITIES; QUASI-ONE-DIMENSIONAL; SCALING EXPONENT; SINGLE FILE DIFFUSION;

MOLECULAR DYNAMICS; TWO DIMENSIONAL;

DIFFUSION;

EID: 84859379048     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.031147     Document Type: Article

References (44)

1. C. Cottin-Bizonne, J.-L. Barrat, L. Bocquet, and E. Charlaix, Nat. Mater. 10.1038/nmat857 2, 237 (2003).
2. A. L. Hodgkin and R. D. Keynes, J. Physiol. 128, 61 (1955).
3. Jörg Kärger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.45. 4173 45, 4173 (1992).
4. F. Martin, R. Walczak, A. Boiarski, M. Cohen, T. West, C. Cosentino, J. Shapiro, and M. Ferrari, J. Controlled Release JCREEC 0168-3659 10.1016/j.jconrel.2004.09.024 102, 123 (2005). (Pubitemid 40103555)
5. T. E. Harris, J. Appl. Probab. JPRBAM 0021-9002 10.2307/3212197 2, 323 (1965).
6. P. Barrozo, A. A. Moreira, J. A. Aguiar, and J. S. Andrade Jr., Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.104513 80, 104513 (2009).
7. J. S. Andrade Jr., G. F. T. da Silva, A. A. Moreira, F. D. Nobre, and E. M. F. Curado, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.260601 105, 260601 (2010).
8. G. Hummer, J. C. Rasaiah, and J. P. Noworyta, Nature (London) NATUAS 0028-0836 10.1038/35102535 414, 188 (2001). (Pubitemid 33051229)
9. Atlas of Zeolite Structure Types, edited by M. W. Meier and H. D. Olsen (Butterworths-Heinemann, London, 1992).
10. T. Halpin-Healy and Y. C. Zhang, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(94)00087-J 254, 215 (1995).
11. L. J. Lebowitz and K. J. Percus, Phys. Rev. E PHRVAO 0031-899X 10.1103/PhysRev.155.122 155, 122 (1967).
12. D. G. Levitt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.8.3050 8, 3050 (1973).
13. P. M. Richards, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.16.1393 16, 1393 (1977).
14. L. Lizana and T. Ambjörnsson, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.051103 80, 051103 (2009).
15. V. N. Kharkyanen and S. O. Yesylevskyy, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.031118 80, 031118 (2009).
16. E. Barkai and R. Silbey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.050602 102, 050602 (2009).
17. A. M. Alsayed, M. F. Islam, J. Zhang, P. J. Collings, and A. D. Yodh, Science SCIEAS 0036-8075 10.1126/science.1112399 309, 1207 (2005). (Pubitemid 41174594)
18. H.-Q. Wei, C. Bechinger, and P. Leiderer, Science SCIEAS 0036-8075 10.1126/science.287.5453.625 287, 625 (2000). (Pubitemid 30070904)
19. C. Lutz, M. Kollmann, and C. Bechinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.026001 93, 026001 (2004).
20. G. Piacente, F. M. Peeters, and J. J. Betouras, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.036406 70, 036406 (2004).
21. W. P. Ferreira, J. C. N. Carvalho, P. W. S. Oliveira, G. A. Farias, and F. M. Peeters, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.014112 77, 014112 (2008).
22. W. Yang, K. Nelissen, M. Kong, Z. Zeng, and F. M. Peeters, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.041406 79, 041406 (2009).
23. K. Nelissen, V. R. Misko, and F. M. Peeters, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/56004 80, 56004 (2007).
24. For underdamped systems, the initial fast growth of the MSD (i.e., ballistic regime) is characterized by α = 2.
25. G. Coupier, M. SaintJean, and C. Guthmann, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.73.031112 73, 031112 (2006).
26. H. L. Tepper, J. P. Hoogenboom, N. F. A. van der Vegt, and W. J. Briels, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.479092 110, 11511 (1999).
27. J. B. Delfau, C. Coste, and M. SaintJean, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.011101 84, 011101 (2011).
28. P. M. Centres and S. Bustingorry, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.061101 81, 061101 (2010).
29. D. V. Tkachenko, V. R. Misko, and F. M. Peeters, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.82.051102 82, 051102 (2010).
30. B. Lin, M. Meron, B. Cui, S. A. Rice, and H. Diamant, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.216001 94, 216001 (2005). (Pubitemid 41636690)
31. D. L. Ermak and J. A. McCammon, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.436761 69, 1352 (1978).
32. As recently shown when studying single-trajectory averages, time average may differ from ensemble average MSD not only for nonergodic processes (for example, for anomalous diffusion described by continuous time random walks models), but also for some ergodic processes in small complex systems.
33. J.-H. Jeon and R. Metzler, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.021147 85, 021147 (2012).
34. Y. He, S. Burov, R. Metzler, and E. Barkai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.058101 101, 058101 (2008).
35. A. Lubelski, I. M. Sokolov, and J. Klafter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.250602 100, 250602 (2008).
36. R. Kutner, H. van Beijeren, and K. W. Kehr, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.30.4382 30, 4382 (1984).
37. This apparent power-law behavior is characterized by MSD Δ x 2 (t) α, and it is an intermediate phenomena due to the interplay between the crossover from the MSD Δ x 2 (t) 0.5 regime to Δ x 2 (t) 1.0 regime. For details, see Ref.
38. H. van Beijeren, K. W. Kehr, and R. Kutner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.28.5711 28, 5711 (1983).
39. B. J. Alder and W. E. Alley, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01011753 19, 341 (1978).
40. Y.-L. Chou, M. Pleimling, and R. K. P. Zia, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.061602 80, 061602 (2009).
41. G. Piacente, G. Q. Hai, and F. M. Peeters, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.024108 81, 024108 (2010).
42. rad (r) still has a single maximum which is shifted from the center of the channel.
43. T. Ambjörnsson and R. J. Silbey, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.2999602 129, 165103 (2008).
44. S. Savel'ev, F. Marchesoni, A. Taloni, and F. Nori, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.021119 74, 021119 (2006).