Random time-scale invariant diffusion and transport coefficients

Physical Review Letters

Volumn 101, Issue 5, 2008, Pages

  He, Y ^a   Burov, S ^a   Metzler, R ^b   Barkai, E ^a  

^a BAR ILAN UNIVERSITY   (Israel)

^b TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTER ANALYSIS; NANOSTRUCTURED MATERIALS; RANDOM VARIABLES;

CONTINUOUS-TIME RANDOM WALK MODEL; EINSTEIN RELATIONS; ENSEMBLE AVERAGING; ERGODICITY; EXTERNAL FIELDS; INDIVIDUAL PARTICLES; LIVING CELLS; MEAN SQUARED DISPLACEMENTS; MRNA MOLECULES; PARTICLE MOTIONS; SINGLE PARTICLE TRACKING; SINGLE-MOLECULE TRACKING; TIME AVERAGING; TIME SCALING; TRANSPORT COEFFICIENTS;

RANDOM PROCESSES;

EID: 48849092363     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.101.058101     Document Type: Article

References (23)

1. I.M. Tolić-Nørrelykke, Phys. Rev. Lett. 93, 078102 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.078102
2. I. Golding and E.C. Cox, Phys. Rev. Lett. 96, 098102 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.098102
3. J.P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990). PRPLCM 0370-1573 10.1016/0370-1573(90)90099-N
4. H. Scher, M.F. Shlesinger, and J.T. Bendler, Phys. Today 44, No. 1, 26 (1991). PHTOAD 0031-9228 10.1063/1.881289
5. R. Metzler and J. Klafter, Phys. Rep. 339, 1 (2000). PRPLCM 0370-1573 10.1016/S0370-1573(00)00070-3
6. Anomalous Transport: Foundations and Applications, edited by, R. Klages,,, G. Radons,, and, I.M. Sokolov, (Wiley-VCH, Weinheim, 2007).
7. S. Condamin, Proc. Natl. Acad. Sci. U.S.A. 105, 5675 (2008). PNASA6 0027-8424 10.1073/pnas.0712158105
8. M.A. Lomholt, I.M. Zaid, and R. Metzler, Phys. Rev. Lett. 98, 200603 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.200603
9. S.B. Yuste and K. Lindenberg, Phys. Rev. E 76, 051114 (2007). PLEEE8 1063-651X 10.1103/PhysRevE.76.051114
10. P. Dietrich, R. Klages, R. Preuss, and A. Schwab, Proc. Natl. Acad. Sci. U.S.A. 105, 459 (2008). PNASA6 0027-8424 10.1073/pnas.0707603105
11. Scatter of local diffusivities in single particle tracking was also observed by M. Platani, I. Goldberg, A.I. Lamond, and J.R. Swedlow, Nat. Cell Biol. 4, 502 (2002). NCBIFN 1465-7392 10.1038/ncb809
12. J.P. Bouchaud, J. Phys. I 2, 1705 (1992). JPGCE8 1155-4304 10.1051/jp1:1992238
13. G. Bel and E. Barkai, Phys. Rev. Lett. 94, 240602 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.240602
14. A. Rebenshtok and E. Barkai, Phys. Rev. Lett. 99, 210601 (2007) show that at equilibrium ergodic Boltzmann-Gibbs statistical mechanics does not apply. PRLTAO 0031-9007 10.1103/PhysRevLett.99.210601
15. Our work considers the out of equilibrium situation of diffusion processes which yield statistical laws different from the equilibrium case.
16. E. Barkai, R. Metzler, and J. Klafter, Phys. Rev. E 61, 132 (2000). PLEEE8 1063-651X 10.1103/PhysRevE.61.132
17. W. Feller, An Introduction to Probability Theory and Its Applications (Wiley, Eastern New Delhi, 1969), Vol. 2.
18. E. Barkai, Phys. Rev. E 63, 046118 (2001). PLEEE8 1063-651X 10.1103/PhysRevE.63.046118
19. E. Barkai and V.N. Fleurov, Phys. Rev. E PLEEE8 1063-651X 58, 1296 (1998). 10.1103/PhysRevE.58.1296
20. P. Allegrini, M. Bologna, P. Grigolini, and B.J. West, Phys. Rev. Lett. 99, 010603 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.010603
21. I.M. Sokolov and J. Klafter, Phys. Rev. Lett. 97, 140602 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.140602
22. I.Y. Wong, Phys. Rev. Lett. 92, 178101 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.178101
23. N. Korabel and E. Barkai (to be published).