The fluctuation-dissipation relation in sub-diffusive systems: The case of granular single-file diffusion

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2008, Issue 10, 2008, Pages

  Villamaina, D ^a   Puglisi, A ^a   Vulpiani, A ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

Brownian motion; Diffusion; Fluctuations (theory); Granular matter

Indexed keywords

EID: 56349139614     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/10/L10001     Document Type: Article

References (26)

1. Zaslavsky GM, Stevens D and Weitzner H 1993 Self-similar transport in incomplete chaos Phys. Rev. E 48 1683
2. Castiglione P, Mazzino A, Muratore-Ginanneschi P and Vulpiani A 1999 On strong anomalous diffusion Physica D 134 75
3. Kubo R 1966 The fluctuation-dissipation theorem Rep. Prog. Phys. 29 255
4. Marini Bettolo Marconi U, Puglisi A, Rondoni L and Vulpiani A 2008 Fluctuation-dissipation: response theory in statistical physics Phys. Rep. 461 111
5. Trefan G, Floriani E, West BJ and Grigolini P 1994 Dynamical approach to anomalous diffusion: response of Levy processes to a perturbation Phys. Rev. E 50 2564
6. Barkai E and Klafter J 1998 Comment on subdiffusion and anomalous local viscoelasticity in actin networks Phys. Rev. Lett. 81 1134
7. Metzler R, Barkai E and Klafter J 1999 Anomalous diffusion and relaxation close to thermal equilibrium: a fractional Fokker-Planck equation approach Phys. Rev. Lett. 82 3563
8. Levitt DG 1973 Dynamics of a single-file pore: non-fickian behavior Phys. Rev. A 8 3050
9. Williams DRM and MacKintosh FC 1996 Driven granular media in one dimension: correlations and equation of state Phys. Rev. E 54 R9
10. Puglisi A, Loreto V, Marconi UMB, Petri A and Vulpiani A 1998 Clustering and non-gaussian behavior in granular matter Phys. Rev. Lett. 81 3848
11. Puglisi A, Loreto V, Marconi UMB and Vulpiani A 1999 A kinetic approach to granular gases Phys. Rev. E 59 5582
12. van Noije TPC and Ernst MH 1998 Velocity distributions in homogeneous granular fluids: the free and the heated case Granul. Matter 1 57
13. van Noije TPC, Ernst MH, Trizac E and Pagonabarraga I 1999 Randomly driven granular fluids: large-scale structure Phys. Rev. E 59 4326
14. Brilliantov NV and Poschel T 2000 Self-diffusion in granular gases Phys. Rev. E 61 1716
15. Brey JJ, Ruiz-Montero MJ, Cubero D and Garca-Rojo R 2000 Self-diffusion in freely evolving granular gases Phys. Fluids 12 876
16. Deker U and Haake F 1975 Fluctuation-dissipation theorems for classical processes Phys. Rev. A 11 2043
17. Falcioni M, Isola S and Vulpiani A 1990 Correlation functions and relaxation properties in chaotic dynamics and statistical mechanics Phys. Lett. A 144 341
18. Bouchaud JP, Cugliandolo LF, Kurchan J and Mezard M 1998 Spin Glasses and Random Fields (Singapore: World Scientific)
19. Cecconi F, Diotallevi F, MariniBettolo Marconi U and Puglisi A 2004 Fluid-like behavior of a one-dimensional granular gas J. Chem. Phys. 120 35
20. Ciccotti G, Jacucci G and McDonald I R 1979 Though-experiments by molecular dynamics J. Stat. Phys. 21 1
21. Puglisi A, Baldassarri A and Loreto V 2002 Fluctuation-dissipation relations in driven granular gases Phys. Rev. E 66 061305
22. Barrat A, Loreto V and Puglisi A 2004 Temperature probes in binary granular gases Physica A 334 513
23. Garzó V 2004 On the Einstein relation in a heated granular gas Physica A 343 105
24. Baldassarri A, Barrat A, D'Anna G, Loreto V, Mayor P and Puglisi A 2005 What is the temperature of a granular medium? J. Phys.: Condens. Matter 17 S2405
25. Puglisi A, Baldassarri A and Vulpiani A 2007 Violations of the Einstein relation in granular fluids: the role of correlations J. Stat. Mech. P08016
26. Srebro Y and Levine D 2004 Exactly solvable model for driven dissipative systems Phys. Rev. Lett. 93 240601