Severe slowing-down and universality of the dynamics in disordered interacting many-body systems: Ageing and ultraslow diffusion

New Journal of Physics

Volumn 16, Issue , 2014, Pages

  Sanders, Lloyd P ^a   Lomholt, Michael A ^b   Lizana, Ludvig ^c   Fogelmark, Karl ^a   Metzler, Ralf ^d,e   Ambjörnsson, Tobias ^a  

^a LUND UNIVERSITY   (Sweden)

^b UNIVERSITY OF SOUTHERN DENMARK   (Denmark)

^c UMEÅ UNIVERSITY   (Sweden)

^d UNIVERSITY OF POTSDAM   (Germany)

^e TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Ageing; Continuous time random walks; Single file diffusion

Indexed keywords

CONTINUOUS TIME SYSTEMS; DYNAMICS; ELASTIC MODULI; ENVIRONMENTAL REGULATIONS;

AGEING; ANOMALOUS DIFFUSION; CONTINUOUS TIME RANDOM WALKS; HARD-CORE INTERACTIONS; MANY-BODY INTERACTIONS; MEAN SQUARED DISPLACEMENT; NON-INTERACTING PARTICLES; SINGLE FILE DIFFUSION;

DIFFUSION;

EID: 84918799232     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/16/11/113050     Document Type: Article

References (83)

1. Samaj L and Bajnok Z 2013 Introduction to the Statistical Physics of Integrable Many-body Systems (Cambridge, UK: Cambridge University Press)
2. Stefanucci G and van Leeuwen R 2013 Nonequilibrium Many-Body Theory of Quantum Systems: A Modern Introduction (Cambridge, UK: Cambridge University Press)
3. Harris T E 1965 J. Appl. Probab. 2 323
4. Levitt D G 1973 Phys. Rev. A 8 3050
5. Fedders P A 1978 Phys. Rev. B 17 40
6. Arratia R 1983 Ann. Probab. 11 362
7. van Beijeren H, Kehr K W and Kutner R 1983 Phys. Rev. B 28 5711
8. Kärger J 1992 Phys. Rev. A 45 4173
9. Hahn K and Kärger J 1998 J. Phys. Chem. B 102 5766
10. Nelson P H and Auerbach S M 1999 J. Chem. Phys. 110 9235
11. Lizana L and Ambjörnsson T 2008 Phys. Rev. Lett. 100 200601
12. Flomenbom O and Taloni A 2008 Europhys. Lett. 83 20004
13. Barkai E and Silbey R 2009 Phys. Rev. Lett. 102 050602
14. Ryabov A and Chvosta P 2011 Phys. Rev. E 83 020106
15. Lizana L, Ambjörnsson T, Taloni A, Barkai E and Lomholt M A 2010 Phys. Rev. E 81 051118
16. Wei Q-H, Bechinger C and Leiderer P 2000 Science 287 625
17. Lutz C, Reichert M, Stark H and Bechinger C 2006 Europhys. Lett. 74 719
18. Lutz C, Kollmann M and Bechinger C 2004 Phys. Rev. Lett. 93 026001
19. Hahn K, Kärger J and Kukla V 1996 Phys. Rev. Lett. 76 2762
20. Siems U, Kreuter C, Erbe A, Schwierz N, Sengupta S, Leiderer P and Nielaba P 2012 Sci. Rep. 2 1015
21. Pagliara S, Dettmer S L and Keyser U F 2014 Phys. Rev. Lett. 113 048102
22. Yang S Y, Yang J A, Kim E S, Jeon G, Oh E J, Choi K Y, Hahn S K and Kim J K 2010 ACS Nano 4 3817
23. Stern A S and Berg H C 2013 Biophys. J 105 182
24. Lomholt M A, Lizana L, Metzler R and Ambjörnsson T 2013 Phys. Rev. Lett. 110 208301
25. Brauns E B, Madaras M L, Coleman R S, Murphy C J and Berg M A 2002 Phys. Rev. Lett. 88 158101
26. Ben-David O, Rubinstein S M and Fineberg J 2010 Nature 463 76
27. Richard P, Nicodemi M, Delannay R, Ribière P and Bideau D 2005 Nat. Mater. 4 121
28. Boettcher S and Sibani P 2011 J. Phys. Condens. Matter 23 065103
29. Vaknin A, Ovadyahu Z and Pollak M 2000 Phys. Rev. Lett. 84 3402
30. Orlyanchik V and Ovadyahu Z 2004 Phys. Rev. Lett. 92 066801
31. Matan K, Williams R B, Witten T A and Nagel S R 2002 Phys. Rev. Lett. 88 076101
32. Gurevich A and Küpfer H 1993 Phys. Rev B 48 6477
33. Amir A, Oreg Y and Imry Y 2012 Proc. Natl Acad. Sci. USA 109 1850
34. Amir A, Borini S, Oreg Y and Imry Y 2011 Phys. Rev. Lett. 107 186407
35. Woltjer R, Hamada A and Takeda E 1993 Electron. Devices IEEE Trans. 40 392
36. Chowdhury D and Mookerjee A 1984 J. Phys. F: Met. Phys. 14 245
37. Xu Q, Feng L, Sha R, Seeman N C and Chaikin P M 2011 Phys. Rev. Lett. 106 228102
38. Montroll E W and Weiss G H 1969 J. Math. Phys. 10 753
39. Scher H and Montroll E W 1975 Phys. Rev. B 12 2455
40. Hughes B D 1995 Random Walks and Random Environments Volume 1: Random Walks (Oxford: Oxford University Press)
41. Metzler R and Klafter J 2000 Phys. Rep. 339 1
42. Metzler R and Klafter J 2004 J. Phys. A: Math. Gen. 37 R161
43. Barkai E, Garini Y and Metzler R 2012 Phys. Today 65 29
44. Metzler R, Jeon J-H, Cherstvy A G and Barkai E 2014 Phys. Chem. Chem. Phys. 16 24128
45. Jeon J-H, Tejedor V, Burov S, Barkai E, Selhuber-Unkel C, Berg-Sørensen K, Oddershede L and Metzler R 2011 Phys. Rev. Lett. 106 048103
46. Tabei S M A, Burov S, Kim H Y, Kuznetsov A, Huynh T, Jureller J, Philipson L H, Dinner A R and Scherer N F 2013 Proc. Natl Acad. Sci. USA 110 4911
47. Weigel A V, Simon B, Tamkun M M and Krapf D 2011 Proc. Natl Acad. Sci. USA 108 6438
48. Wong I Y, Gardel M L, Reichman D R, Weeks E R, Valentine M T, Bausch A R and Weitz D A 2004 Phys. Rev. Lett. 92 178101
49. Stefani F D, Hoogenboom J P and Barkai E 2009 Phys. Today 62 34
50. Bardou F, Bouchaud J-P, Emile O, Aspect A and Cohen-Tannoudji C 1994 Phys. Rev. Lett. 72 203
51. Havlin S and Ben-Avraham D 1987 Adv. Phys. 36 695
52. Monthus C and Bouchaud J-P 1996 J. Phys. A: Math. Gen. 29 3847
53. Ben Arous G, Bovier A and Gayrard V 2002 Phys. Rev. Lett. 88 087201
54. Burov S and Barkai E 2007 Phys. Rev. Lett. 98 250601
55. Godrèche C and Luck J M 2001 J. Stat. Phys. 104 489
56. Barkai E and Cheng Y C 2003 J. Chem. Phys. 118 6167
57. Schulz J H P, Barkai E and Metzler R 2013 Phys. Rev. Lett. 110 020602
58. Schulz J H P, Barkai E and Metzler R 2014 Phys. Rev. X 4 011028
59. Koren T, Lomholt M A, Chechkin A V, Klafter J and Metzler R 2007 Phys. Rev. Lett. 99 160602
60. Bouchaud J-P 1992 J. Phys. (Paris) I 2 1705
61. Bel G and Barkai E 2005 Phys. Rev. Lett. 94 240602
62. Rebenshtok A and Barkai E 2007 Phys. Rev. Lett. 99 210601
63. Lomholt M A, Zaid I M and Metzler R 2007 Phys. Rev. Lett. 98 200603
64. Lomholt M A, Zaid I M and Metzler R 2009 J. Biophys. 97 710
65. Höfling F and Franosch T 2013 Rep. Prog. Phys. 76 046602
66. Rödenbeck C, Kärger J and Hahn K 1998 Phys. Rev. E 57 4382
67. Lizana L and Ambjörnsson T 2008 Phys. Rev. Lett. 100 200601
68. Feller W 1971 An Introduction to Probability Theory and its Applications vol 2 (New York, NY: Wiley)
69. Schmittmann B and Zia R K P 1999 Am. J. Phys. 67 1269
70. Shlesinger M F 1974 J. Stat. Phys. 10 421
71. Margolin G and Berkowitz B 2000 J. Phys. Chem. B 104 3942
72. Bandyopadhyay T 2008 Europhys. Lett. 81 16003
73. Barkai E and Silbey R 2010 Phys. Rev. E 81 041129
74. Flomenbom O 2011 Europhys. Lett. 94 58001
75. Sinai Y G 1982 Theory Probab. Appl. 27 256
76. Golosov A O 1984 Commun. Math. Phys. 92 491
77. Comtet A and Dean D 1998 J. Phys. A: Math. Gen. 31 8595
78. Cherstvy A and Metzler R 2013 Phys. Chem. Chem. Phys. 15 20220
79. Havlin S and Weiss G H 1990 J. Stat. Phys. 58 1267
80. Dräger J and Klafter J 2000 Phys. Rev. Lett. 84 5998
81. Denisov S I, Yuste S B, Bystrik Yu S, Kantz H and Lindenberg K 2011 Phys. Rev. E 84 061143
82. Chechkin A V, Klafter J and Sokolov I M 2003 Europhys. Lett. 63 326
83. Godec A, Chechkin A V, Barkai E, Kantz H and Metzler R 2014 J. Phys. A: Math. Gen. at press (arXiv:1406.6199)