Brownian particles on rough substrates: Relation between intermediate subdiffusion and asymptotic long-time diffusion

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

Volumn 88, Issue 6, 2013, Pages

  Hanes, Richard D L ^a   Schmiedeberg, Michael ^a,b   Egelhaaf, Stefan U ^a  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b UNIVERSITY OF OSNABRÜCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN PARTICLES; DIFFUSIVE BEHAVIOR; DIFFUSIVE REGIME; GAUSSIAN DISTRIBUTED; LONG TIME BEHAVIOR; RANDOM POTENTIALS; ROUGH SUBSTRATES; THERMAL EQUILIBRIUMS;

CONDENSED MATTER PHYSICS; PHYSICS;

DIFFUSION;

EID: 84891688467     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.062133     Document Type: Article

References (62)

1. J. Honkonen and Y. M. Pis'mak, J. Phys. A 22, L899 (1989). 0305-4470 10.1088/0305-4470/22/18/010
2. A. H. Romero and J. M. Sancho, Phys. Rev. E 58, 2833 (1998). 1063-651X 10.1103/PhysRevE.58.2833
3. J. M. Sancho, A. M. Lacasta, K. Lindenberg, I. M. Sokolov, and A. H. Romero, Phys. Rev. Lett. 92, 250601 (2004). 0031-9007 10.1103/PhysRevLett.92. 250601
4. A. M. Lacasta, J. M. Sancho, A. H. Romero, I. M. Sokolov, and K. Lindenberg, Phys. Rev. E 70, 051104 (2004). 1539-3755 10.1103/PhysRevE.70.051104 (Pubitemid 40086472)
5. J. W. Haus and K. W. Kehr, Phys. Rep. 150, 263 (1987). 0370-1573 10.1016/0370-1573(87)90005-6
6. J.-P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990). 0370-1573 10.1016/0370-1573(90)90099-N
7. J.-P. Bouchaud, A. Comtet, A. Georges, and P. L. Doussal, Ann. Phys. (NY) 201, 285 (1990). 0003-4916 10.1016/0003-4916(90)90043-N
8. P. Tierno, P. Reimann, T. H. Johansen, and F. Sagués, Phys. Rev. Lett. 105, 230602 (2010). 0031-9007 10.1103/PhysRevLett.105.230602
9. P. Tierno, F. Sagués, T. H. Johansen, and I. M. Sokolov, Phys. Rev. Lett. 109, 070601 (2012). 0031-9007 10.1103/PhysRevLett.109.070601
10. R. D. L. Hanes, C. Dalle-Ferrier, M. Schmiedeberg, M. C. Jenkins, and S. U. Egelhaaf, Soft Matter 8, 2714 (2012). 1744-683X 10.1039/c2sm07102a
11. F. Evers, C. Zunke, R. D. L. Hanes, J. Bewerunge, I. Ladadwa, A. Heuer, and S. U. Egelhaaf, Phys. Rev. E 88, 022125 (2013). 1539-3755 10.1103/PhysRevE.88.022125
12. F. Evers, R. D. L. Hanes, C. Zunke, R. F. Capellmann, J. Bewerunge, C. Dalle-Ferrier, M. C. Jenkins, I. Ladadwa, A. Heuer, R. Castañeda-Priego, and S. U. Egelhaaf, Eur. Phys. J. Spec. Top. 222, 2995 (2013). 10.1140/epjst/e2013-02071-2
13. X. Ma, P. Lai, and P. Tong, Soft Matter 9, 8826 (2013). 1744-683X 10.1039/c3sm51240a
14. G. Volpe, G. Volpe, and S. Gigan, arXiv:1304.1433.
15. M. Schmiedeberg, J. Roth, and H. Stark, Eur. Phys. J. E 24, 367 (2007). 1292-8941 10.1140/epje/i2007-10247-7
16. C. Emary, R. Gernert, and S. H. L. Klapp, Phys. Rev. E 86, 061135 (2012). 1539-3755 10.1103/PhysRevE.86.061135
17. R. D. L. Hanes and S. U. Egelhaaf, J. Phys.: Condens. Matter 24, 464116 (2012). 0953-8984 10.1088/0953-8984/24/46/464116
18. R. Zwanzig, Proc. Natl Acad. Sci. USA 85, 2029 (1988). 0027-8424 10.1073/pnas.85.7.2029 (Pubitemid 24315821)
19. J. W. Haus, K. W. Kehr, and J. W. Lyklema, Phys. Rev. B 25, 2905 (1982). 0163-1829 10.1103/PhysRevB.25.2905
20. B. Derrida, J. Stat. Phys. 31, 433 (1983). 0022-4715 10.1007/BF01019492
21. J. Bernasconi, H. U. Beyeler, S. Strässler, and S. Alexander, Phys. Rev. Lett. 42, 819 (1979). 0031-9007 10.1103/PhysRevLett.42.819
22. R. L. Jack and P. Sollich, J. Stat. Mech. (2009) P11011. 10.1088/1742-5468/2009/11/P11011
23. D. S. Novikov, E. Fieremans, J. H. Jensen, and J. A. Helpern, Nat. Phys. 7, 508 (2011). 1745-2473 10.1038/nphys1936
24. H. Scher and M. Lax, Phys. Rev. B 7, 4491 (1973). 0556-2805 10.1103/PhysRevB.7.4491
25. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000). 0370-1573 10.1016/S0370-1573(00)00070-3
26. H. Löwen, J. Phys.: Condens. Matter 20, 404201 (2008). 0953-8984 10.1088/0953-8984/20/40/404201
27. E. C. Euan-Diaz, V. R. Misko, F. M. Peeters, S. Herrera-Velarde, and R. Castañeda-Priego, Phys. Rev. E 86, 031123 (2012). 1539-3755 10.1103/PhysRevE.86.031123
28. P. Reimann, C. Van den Broeck, H. Linke, P. Hänggi, J. M. Rubi, and A. Pérez-Madrid, Phys. Rev. E 65, 031104 (2002). 1063-651X 10.1103/PhysRevE.65.031104 (Pubitemid 40619074)
29. C. Dalle-Ferrier, M. Krüger, R. D. L. Hanes, S. Walta, M. C. Jenkins, and S. U. Egelhaaf, Soft Matter 7, 2064 (2011). 1744-683X 10.1039/c0sm01051k
30. M. C. Jenkins and S. U. Egelhaaf, J. Phys.: Condens. Matter 20, 404220 (2008). 0953-8984 10.1088/0953-8984/20/40/404220
31. A. Naumovets, Physica A 357, 189 (2005). 0378-4371 10.1016/j.physa.2005. 06.027 (Pubitemid 41327886)
32. J. Barth, Surf. Sci. Rep. 40, 75 (2000). 0167-5729 10.1016/S0167-5729(00) 00002-9
33. A. Sengupta, S. Sengupta, and G. I. Menon, Europhys. Lett. 70, 635 (2005). 0295-5075 10.1209/epl/i2005-10025-3 (Pubitemid 40758647)
34. Q.-H. Wei, C. Bechinger, and P. Leiderer, Science 287, 625 (2000). 0036-8075 10.1126/science.287.5453.625 (Pubitemid 30070904)
35. F. Höfling, T. Franosch, and E. Frey, Phys. Rev. Lett. 96, 165901 (2006). 0031-9007 10.1103/PhysRevLett.96.165901 (Pubitemid 43667871)
36. R. M. Dickson, D. J. Norris, Y.-L. Tzeng, and W. E. Moerner, Science 274, 966 (1996). 0036-8075 10.1126/science.274.5289.966 (Pubitemid 26398415)
37. M. Weiss, M. Elsner, F. Kartberg, and T. Nilsson, Biophys. J. 87, 3518 (2004). 0006-3495 10.1529/biophysj.104.044263 (Pubitemid 40468604)
38. F. Höfling and T. Franosch, Rep. Prog. Phys. 76, 046602 (2013). 0034-4885 10.1088/0034-4885/76/4/046602
39. I. M. Tolić-Nørrelykke, E.-L. Munteanu, G. Thon, L. Oddershede, and K. Berg-Sørensen, Phys. Rev. Lett. 93, 078102 (2004). 0031-9007 10.1103/PhysRevLett.93.078102
40. L. Chen, M. Falcioni, and M. W. Deem, J. Phys. Chem. B 104, 6033 (2000). 1520-6106 10.1021/jp9943979
41. A. Bytröm and A. M. Byström, Acta Crystallogr. 3, 146 (1950). 0365-110X 10.1107/S0365110X5000032X
42. A. Heuer, S. Murugavel, and B. Roling, Phys. Rev. B 72, 174304 (2005). 1098-0121 10.1103/PhysRevB.72.174304 (Pubitemid 43017952)
43. A. V. Indrani and S. Ramaswamy, Phys. Rev. Lett. 73, 360 (1994). 0031-9007 10.1103/PhysRevLett.73.360
44. W. Götze, J. Phys.: Condens. Matter 11, A1 (1999). 0953-8984 10.1088/0953-8984/11/10A/002
45. P. G. Debenedetti and F. H. Stillinger, Nature (London) 410, 259 (2001). 0028-0836 10.1038/35065704 (Pubitemid 32218700)
46. C. A. Angell, Science 267, 1924 (1995). 0036-8075 10.1126/science.267. 5206.1924
47. F. Sciortino, J. Stat. Mech. (2005) P05015. 10.1088/1742-5468/2005/05/ P05015 (Pubitemid 40906233)
48. A. Heuer, J. Phys.: Condens. Matter 20, 373101 (2008). 0953-8984 10.1088/0953-8984/20/37/373101
49. S. D. Durbin and G. Feher, Annu. Rev. Phys. Chem. 47, 171 (1996). 0066-426X 10.1146/annurev.physchem.47.1.171
50. K. A. Dill and H. S. Chan, Nat. Struct. Mol. Biol. 4, 10 (1997). 1072-8368 10.1038/nsb0197-10 (Pubitemid 27020916)
51. C. Hyeon and D. Thirumalai, Proc. Natl. Acad. Sci. USA 100, 10249 (2003). 0027-8424 10.1073/pnas.1833310100 (Pubitemid 37071864)
52. H. Janovjak, H. Knaus, and D. J. Muller, J. Am. Chem. Soc. 129, 246 (2007). 0002-7863 10.1021/ja065684a (Pubitemid 46106605)
53. D. G. Levitt, Phys. Rev. A 8, 3050 (1973). 0556-2791 10.1103/PhysRevA.8. 3050
54. D. V. Tkachenko, V. R. Misko, and F. M. Peeters, Phys. Rev. E 82, 051102 (2010). 1539-3755 10.1103/PhysRevE.82.051102
55. K. Nelissen, V. R. Misko, and F. M. Peeters, Europhys. Lett. 80, 56004 (2007). 0295-5075 10.1209/0295-5075/80/56004
56. P. G. Wolynes, Acc. Chem. Res. 25, 513 (1992). 0001-4842 10.1021/ar00023a005
57. M. C. Jenkins and S. U. Egelhaaf, Adv. Colloid Interface Sci. 136, 65 (2008). 0001-8686 10.1016/j.cis.2007.07.006 (Pubitemid 350236076)
58. A. Ashkin, Proc. Natl. Acad. Sci. USA 94, 4853 (1997). 0027-8424 10.1073/pnas.94.10.4853 (Pubitemid 27214700)
59. J. E. Molloy and M. J. Padgett, Contemp. Phys. 43, 241 (2002). 0010-7514 10.1080/00107510110116051
60. R. D. L. Hanes, M. C. Jenkins, and S. U. Egelhaaf, Rev. Sci. Instrum. 80, 083703 (2009). 0034-6748 10.1063/1.3196181
61. J. C. Crocker and D. G. Grier, J. Colloid Interface Sci. 179, 298 (1996). 0021-9797 10.1006/jcis.1996.0217 (Pubitemid 26172272)
62. P. Hänggi, P. Talkner, and M. Borkovec, Rev. Mod. Phys. 62, 251 (1990). 0034-6861 10.1103/RevModPhys.62.251