Nonequilibrium Brownian motion beyond the effective temperature

PLoS ONE

Volumn 9, Issue 4, 2014, Pages

  Gnoli, Andrea ^a,b   Puglisi, Andrea ^a,b   Sarracino, Alessandro ^a,b,c   Vulpiani, Angelo ^a,b  

^a CNR   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BROWNIAN MOTION; DENSITY; GENERALIZED FLUCTUATION DISSIPATION THEOREM; MATHEMATICAL PHENOMENA; PHYSICAL PARAMETERS; SPATIAL AUTOCORRELATION ANALYSIS; STATISTICAL ANALYSIS; TEMPERATURE SENSITIVITY; THERMODYNAMICS; CHEMICAL MODEL; DIFFUSION; MOTION; TEMPERATURE;

DIFFUSION; MODELS, CHEMICAL; MOTION; TEMPERATURE; THERMODYNAMICS;

EID: 84899503313     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0093720     Document Type: Article

References (30)

1. Einstein A (1905) On the movement of small particles suspended in stationary liquids required by the molecular-kinetic theory of heat. Ann Physik 17: 549-560.
2. Kubo R (1966) The fluctuation-dissipation theorem. Rep Prog Phys 29: 255-284.
3. Marini Bettolo Marconi U, Puglisi A, Rondoni L, Vulpiani A (2008) Fluctuationdissipation: Response theory in statistical physics. Phys Rep 461: 111-195.
4. Seifert U (2012) Stochastic thermodynamics, fluctuation theorems and molecular machines. Rep Prog Phys 75: 126001.
5. Berthier L, Biroli G (2011) Theoretical perspective on the glass transition and amorphous materials. Rev Mod Phys 83: 587-645.
6. Cugliandolo L (2011) The effective temperature. JôPhys A: Math Theor 44: 483001-483041.
7. Crisanti A, Ritort F (2003) Violation of the fluctuation dissipation theorem in glassy systems: basic notions and the numerical evidence. Jô Phys A: Math Gen 36: R181-R290.
8. Wang P, Song C, Makse HA (2006) Dynamic particle tracking reveals the ageing temperature of a colloidal glass. Nature Physics 2: 526-531. (Pubitemid 44167276)
9. Joubaud S, Percier B, Petrosyan A, Ciliberto S (2009) Aging and Effective Temperatures Near a Critical Point. Phys Rev Lett 102: 130601.
10. Makse HA, Kurchan J (2002) Testing the thermodynamic approach to granular matter with a numerical model of a decisive experiment. Nature 415: 614-617. (Pubitemid 34136382)
11. Ono IK, OHern CS, Durian DJ, Langer SA, Liu AJ, et al. (2002) Effective Temperatures of a Driven System Near Jamming. Phys Rev Lett 89: 095703.
12. Vicsek T, Zafeiris A (2012) Collective motion. Physics Reports 517: 71-140.
13. Marchetti MC, Joanny JF, Ramaswamy S, Liverpool TB, Prost J, et al. (2013) Hydrodynamics of soft active matter. Rev Mod Phys 85: 1143-1189.
14. Loi D, Mossa S, Cugliandolo L (2008) Effective temperature of active matter. Phys Revô E 77: 051111.
15. Berthier L, Kurchan J (2013) Non-equilibrium glass transitions in driven and active matter. Nature Physics 9: 310-314.
16. Bialké J, Speck T, Löwen H (2012) Crystallization in a Dense Suspension of Self-Propelled Particles. Phys Rev Lett 108: 168301.
17. Fily Y, Marchetti MC (2012) Athermal Phase Separation of Self-Propelled Particles with No Alignment. Phys Rev Lett 108: 235702.
18. Lippiello E, Corberi F, Zannetti M (2005) Off-equilibrium generalization of the fluctuation dissipation theorem for Ising spins and measurement of the linear response function. Phys Revô E 71: 036104.
19. Baiesi M, Maes C, Wynants B (2009) Fluctuations and response of nonequilibrium states. Phys Rev Lett 103: 010602.
20. Jaeger HM, Nagel SR, Behringer RP (1996) Granular solids, liquids, and gases. Rev Mod Phys 68: 1259-1273.
21. D'Anna G, Mayor P, Barrat A, Loreto V, Nori F (2003) Observing brownian motion in vibration-fluidized granular matter. Nature 424: 909-912. (Pubitemid 37051675)
22. Gnoli A, Petri A, Dalton F, Pontuale G, Gradenigo G, et al. (2013) Brownian Ratchet in a Thermal Bath Driven by Coulomb Friction. Phys Rev Lett 110: 120601.
23. Sarracino A, Villamaina D, Costantini G, Puglisi A (2010) Granular Brownian motion. Jô Stat Mech P04013.
24. Hayakawa H (2005) Langevin equation with Coulomb friction. Physicaô D 205: 48-56.
25. Puglisi A, Baldassarri A, Vulpiani A (2007) Violation of the Einstein relation in Granular Fluids: the role of correlations. Jô Stat Mech P08016.
26. Orpe AV, Kudrolli A (2007) Velocity correlations in dense granular flows observed with internal imaging. Phys Rev Lett 98: 238001.
27. Fiege A, Aspelmeier T, Zippelius A (2009) Long-time tails and cage effect indriven granular fluids. Phys Rev Lett 102: 098001.
28. Sarracino A, Villamaina D, Gradenigo G, Puglisi A (2010) Irreversible dynamics of a massive intruder in dense granular fluids. Europhys. Lett. 92: 34001.
29. Villamaina D, Baldassarri A, Puglisi A, Vulpiani A (2009) The fluctuation-dissipation relation: how does one compare correlation functions and responses?. J. Stat. Mech. P07024.
30. Keys AS, Abate AR, Glotzer SC, Durian DC (2007) Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material. Nature Physics 3: 260-264.