Granular Brownian motion

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 4, 2010, Pages

  Sarracino, A ^a,b   Villamaina, D ^a,b   Costantini, G ^a,b   Puglisi, A ^a,b  

^a ISC CNR   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

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

Indexed keywords

EID: 77951677910     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/04/P04013     Document Type: Article

References (36)

1. Jaeger H M, Nagel S R and Behringer R P 1996 Granular solids, liquids, and gases Rev. Mod. Phys. 68 1259
2. Pöschel T and Luding S (ed) 2001 Granular Gases (Springer Lecture Notes in Physics vol 564) (Berlin: Springer)
3. Goldhirsch I 1999 Scales and kinetics of granular flows Chaos 9 659
4. Kadanoff LP 1999 Built upon sand: theoretical ideas inspired by granular flows Rev. Mod. Phys. 71 435
5. Puglisi A, Baldassarri A and Vulpiani A 2007 Violations of the Einstein relation in granular fluids: the role of correlations J. Stat. Mech. P08016
6. Brey J J, de Soria M I G and Maynar P 2008 Breakdown of the fluctuation-dissipation relations in granular gases Europhys. Lett. 84 24002
7. van Noije T P C and Ernst M H 1998 Velocity distributions in homogeneous granular fluids: the free and the heated case Granular Matter 1 57
8. Brilliantov N K and Poschel T 2004 Kinetic Theory of Granular Gases (Oxford: Oxford University Press)
9. Grossman E L, Zhou T and Ben-Naim E 1997 Towards granular hydrodynamics in two-dimensions Phys. Rev. E 55 4200
10. Williams D R M and MacKintosh F C 1996 Driven granular media in one dimension: correlations and equation of state Phys. Rev. E 54 R9
11. Puglisi A, Cecconi F and Vulpiani A 2005 Models of fluidized granular materials: examples of non-equilibrium stationary states J. Phys.: Condens. Matter 17 S2715 (Pubitemid 40871979)
12. Puglisi A, Loreto V, Marconi U M B, Petri A and Vulpiani A 1998 Clustering and non-gaussian behavior in granular matter Phys. Rev. Lett. 81 3848 (Pubitemid 128630693)
13. Cecconi F, Diotallevi F, Marini Bettolo Marconi U and Puglisi A 2004 Fluid-like behavior of a one-dimensional granular gas J. Chem. Phys. 120 35
14. Brey J J, Dufty J W and Santos A 1999 Kinetic models for granular flow J. Stat. Phys. 97 281
15. Brey J J, Ruiz-Montero M J, Garcia-Rojo R and Dufty J W 1999 Brownian motion in a granular gas Phys. Rev. E 60 7174
16. Brey J J, Ruiz-Montero M J, Cubero D and Garcia-Rojo R 2000 Self-diffusion in freely evolving granular gases Phys. Fluids 12 876
17. Garzó V and Montanero J M 2004 Diffusion of impurities in a granular gas Phys. Rev. E 69 021301
18. Brilliantov N V and Poschel T 2005 Self-diffusion in granular gases: Green-Kubo versus Chapman-Enskog Chaos 15 026108 (Pubitemid 43127632)
19. Garzó V 2002 Tracer diffusion in granular shear flows Phys. Rev. E 66 021308
20. Puglisi A, Baldassarri A and Loreto V 2002 Fluctuation-dissipation relations in driven granular gases Phys. Rev. E 66 061305
21. D'Anna G, Mayor P, Gremaud G, Barrat A, Loreto V and Nori F 2003 Observing Brownian motion in vibration-fluidized granular matter Nature 424 909 (Pubitemid 37051675)
22. Feitosa K and Menon N 2002 Breakdown of energy equipartition in a 2d binary vibrated granular gas Phys. Rev. Lett. 88 198301 (Pubitemid 34574980)
23. Pagnani R, Marini Bettolo Marconi U and Puglisi A 2002 Driven low density granular mixtures Phys. Rev. E 66 051304 (Pubitemid 40618473)
24. Garzó V and Montanero J M 2002 Transport coefficients of a heated granular gas Physica A 313 336
25. Puglisi A, Visco P, Trizac E and van Wijland F 2006 Dynamics of a tracer granular particle as a nonequilibrium Markov process Phys. Rev. E 73 021301
26. Martin P A and Piasecki J 1999 Thermalization of a particle by dissipative collisions Europhys. Lett. 46 613
27. Risken H 1989 The Fokker-Planck equation: Methods of Solution and Applications (Berlin: Springer)
28. Kubo R, Toda M and Hashitsume N 1991 Statistical Physics II: Nonequilibrium Statistical Mechanics (Berlin: Springer)
29. Marini Bettolo Marconi U, Puglisi A, Rondoni L and Vulpiani A 2008 Fluctuation-dissipation: response theory in statistical physics Phys. Rep. 461 111
30. Losert W, Cooper D G W, Delour J, Kudrolli A and Gollub J P 1999 Velocity statistics in excited granular media Chaos 9 682
31. Bunin G, Shokef Y and Levine D 2008 Frequency-dependent fluctuation-dissipation relations in granular gases Phys. Rev. E 77 051301
32. Visco P 2006 Work fluctuations for a Brownian particle between two thermostats J. Stat. Mech. P06006
33. Puglisi A and Villamaina D 2009 Irreversible effects of memory Europhys. Lett. 88 30004
34. Costantini G, Puglisi A and Marini Bettolo Marconi U 2007 A granular Brownian ratchet model Phys. Rev. E 75 061124
35. Bird G A 1994 Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Oxford: Clarendon)
36. Carnahan N F and Starling K E 1969 Equation of state for nonattracting rigid spheres J. Chem. Phys. 51 635