Anomalous diffusion in viscosity landscapes

New Journal of Physics

Volumn 13, Issue , 2011, Pages

  Burgis, M ^a   Schaller, V ^a,b   Glassl M ^a   Kaiser, B ^a   Kohler W ^a   Krekhov, A ^a   Zimmermann, W ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; ANOMALOUS DIFFUSION; BROWNIAN PARTICLES; EXPERIMENTAL INVESTIGATIONS; LIMITING CASE; NUMERICAL SIMULATION; SUPERDIFFUSION;

DIFFUSION; FOKKER PLANCK EQUATION;

VISCOSITY;

EID: 79955796568     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/13/4/043031     Document Type: Article

References (49)

1. Einstein A 1905 Ann. Phys. 17 549
2. Dhont J K G 1996 An Introduction to Dynamics of Colloids (Amsterdam: Elsevier)
3. Risken H 1984 The Fokker-Planck Equation (Berlin: Springer)
4. Hänggi P and Marchesoni F 2005 Chaos 15 026101
5. Gardiner C W 2009 Stochastic Methods (Berlin: Springer)
6. Sokolov I M and Klafter J 2005 Chaos 15 026103
7. Sokolov I M and Klafter J 2005 Phys. World 18 August 29-32
8. Klages R, Radons G and Sokolov IM 2008 Anomalous Transport: Foundations and Applications (Weinheim: VCH-Wiley)
9. Metzler R and Klafter J 2000 Phys. Rep. 339 1
10. Scher H and Montroll E W 1975 Phys. Rev. B 12 2455
11. Chate H, Ginelli F, Gregoire G and Raynaud F 2008 Phys. Rev. E 77 4
12. Narayan V, Ramaswamy S and Menon N 2007 Science 317 105
13. Arcizet D, Meier B, Sackmann E, Rädler J O and Heinrich D 2008 Phys. Rev. Lett. 101 248103
14. Höfling F, Frey E and Franosch T 2008 Phys. Rev. Lett. 101 120605
15. Brockmann D, Hufnagel L and Geisel T 2006 Nature 439 462
16. Kosztolowicz T, Dworecki K and Mrowczynski S 2005 Phys. Rev. Lett. 94 170602
17. Golding I and Cox E C 2006 Phys. Rev. Lett. 96 098102
18. Banks D S and Fradin C 2005 Biophys. J. 89 2960
19. Wong I Y, Gardel M L, Reichmann D R, Weeks E R, Valentine M T, Bausch A R and Weitz D A 2004 Phys. Rev. Lett. 92 178101
20. Dieterich P, Klages R, Preuss R and Schwab A 2008 Proc. Natl Acad. Sci. USA 105 459
21. Dentz M, Cortis A, Scher H and Berkowitz B 2004 Adv. Water Resour. 27 155
22. Alonso S, Kapral R and Bär M 2009 Phys. Rev. Lett. 102 238302
23. Zimmermann W, Sesselberg M and Petruccione F 1993 Phys. Rev. E 48 2699
24. Zimmermann W, Painter B and Behringer R 1998 Eur. Phys. J. B 5 575
25. Sokolov I M, Schmidt G W and Sagues F 2006 Phys. Rev. E 73 031102
26. Hentschel H G E and Procaccia I 1984 Phys. Rev. A 29 1461
27. Isichenko M B 1992 Rev. Mod. Phys. 64 961
28. Sokolov I M, Mai J and Blumen A 1997 Phys. Rev. Lett. 79 857
29. Lomholt M A, Ambjörnsson T and Metzler R 2005 Phys. Rev. Lett. 95 260603
30. Viscek T, Czirók A, Ben-Jacob E, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226
31. Schweitzer F, Tilch B and Ebeling W 1998 Phys. Rev. Lett. 80 5044
32. Lindner B 2007 New J. Phys. 9 136
33. Dunkel J and Hänggi P 2005 Phys. Rev. E 71 016124
34. Dan D and Jayannavar A M 2002 Phys. Rev. E 66 041106
35. de Gennes P G 1979 Scaling Concepts in Polymer Physics (Ithaca, NY: Cornell University Press)
36. Klimontovich Y L 1994 Statistical Theory of Open Systems (Dordrecht: Kluwer)
37. Sancho J M, Miguel M S and Dürr D 1982 J. Stat. Phys. 28 291
38. Meredith J C, Karim A and Amis E J 2002 MRS Bull. 27 330
39. Hoogenboom R, Meier M A R and Schubert U S 2003 Macromol. Rapid Commun. 24 15
40. Ketner A M, Kumar R, Davies T S, Elder P W and Raghavan S R 2007 J. Am. Chem. Soc. 129 1553
41. de Groot S R and Mazur P 1984 Non-Equilibrium Thermodynamics (New York: Dover)
42. Williams M L, Landel R F and Fery J D 1955 J. Am. Chem. Soc. 77 3701
43. Rauch J and Köhler W 2002 Phys. Rev. Lett. 88 185901
44. Enge W and Köhler W 2004 Phys. Chem. Chem. Phys. 6 2373
45. Voit A, Krekhov A and Köhler W 2007 Phys. Rev. E 76 011808
46. Köhler W, Krekhov A and Zimmermann W 2010 Adv. Polym. Sci. 227 145
47. Aizpiri A G, Monroy F, del Campo C, Rubio R G and Pena M D 1992 Chem. Phys. 165 31
48. øksendal B 2003 Stochastic Differential Equations (Berlin: Springer)
49. Kio R, Wiegand S and Luettner-Strathmann J 2004 J. Chem. Phys. 121 3874