Please wait a minute...
Chin. Phys. B, 2014, Vol. 23(7): 074501    DOI: 10.1088/1674-1056/23/7/074501
Special Issue: TOPICAL REVIEW — Statistical Physics and Complex Systems
TOPICAL REVIEW—Statistical Physics and Complex Systems Prev   Next  

Effective temperature and fluctuation-dissipation theorem in athermal granular systems:A review

Chen Qiong (陈琼), Hou Mei-Ying (厚美瑛)
Key Laboratory of Soft Matter Physics, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
Abstract  The definition and the previous measurements of a dynamics-relevant temperature-like quantity in granular media are reviewed for slow and fast particle systems. Especially, the validity of the fluctuation-dissipation theorem in such an athermal system is explored. Experimental evidences for the fluctuation-dissipation theorem relevant effect temperature support the athermal statistical mechanics, which has been widely explored in recent years by physicists. Difficulties encountered in defining temperature or establishing thermodynamics or statistical mechanics in non-equilibrium situations are discussed.
Keywords:  granular systems      fluctuation-dissipation relation      non-equilibrium thermodynamics  
Received:  06 May 2014      Revised:  29 May 2014      Accepted manuscript online: 
PACS:  45.70.-n (Granular systems)  
  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  05.70.Ln (Nonequilibrium and irreversible thermodynamics)  
Fund: Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. 11034010), the National Natural Science Foundation of China (Grant No. 11274354), the Special Fund for Earthquake Research of China (Grant No. 201208011), and the Chinese Academy of Sciences "Strategic Priority Research Program-SJ-10" (Grant No. XDA04020200).
Corresponding Authors:  Hou Mei-Ying     E-mail:  mayhou@iphy.ac.cn
About author:  45.70.-n; 05.40.-a; 05.70.Ln

Cite this article: 

Chen Qiong (陈琼), Hou Mei-Ying (厚美瑛) Effective temperature and fluctuation-dissipation theorem in athermal granular systems:A review 2014 Chin. Phys. B 23 074501

[1] Casas-Vázquez J and Jou D 2003 Rep. Prog. Phys. 66 1937
[2] Jaeger H M and Nagel 1992 Science 255 1523
[3] Lu K Q and Liu J X 2004 Physics 33 629 (in Chinese)
[4] Lu K Q and Liu J X 2004 Physics 33 713 (in Chinese)
[5] Sun Q C and Wang G Q 2009 Introduction to Granular Material Mechanics (Beijing: Science Press) p. 1 (in Chinese)
[6] Sun Q C, Hou M Y and Jin F 2013 Granular Matter of Physics and Mechanics (Beijing: Science Press) p. 1 (in Chinese)
[7] Lu Q K and Liu J X 2009 Physics 38 453 (in Chinese)
[8] Ono I K, O'Hern C S, Durian D J, Langer S A, Liu A J and Nagel S R 2002 Phys. Rev. Lett. 89 095703
[9] Confesor M N P and Lai P Y 2013 Chin. J. Phys. 51 522
[10] Jiang H R, Yoshinaga N and Sano Masaki 2010 Phys. Rev. Lett. 105 268302
[11] Astumian R D and Brody R 2009 J. Phys. Chem. B 113 11459
[12] Baldassarri A, Barrat A, D'Anna G, Loreto V, Mayor P and Puglisi A 2005 J. Phys.: Condens. Matter 17 S2405
[13] Bi D P, Henkes S, Daniels K E and Chakraborty B 2014 cond-mat/1404.1854
[14] Li Y C, Liu R and Hou M Y 2012 Phys. Rev. Lett. 109 198001
[15] Hu G Q, Tu H E and Hou M Y 2009 Acta Phys. Sin. 58 341 (in Chinese)
[16] Peng Z, Jiang Y M, Liu R and Hou M Y 2013 Acta Phys. Sin. 62 024502 (in Chinese)
[17] Liu R, Li Y C and Hou M Y 2009 Phys. Rev. E 79 052301
[18] Hou M Y, Li Y C, Liu R, Zhang Y and Lu K Q 2010 Physica Status Solidi 207 2739
[19] Sajjad H S, Li Y C, Cui F F, Zhang Q, Pierre E and Hou M Y 2012 Chin. Phys. Lett. 29 034501
[20] Sajjad H S, Li Y C and Hou M Y 2010 Chin. Phys. B 19 108203
[21] Zhang Q, Li Y C, Hou M Y, Jiang Y M and Liu M 2012 Phys. Rev. E 85 031306
[22] Goldhirsch I 2008 Powder Technology 182 130
[23] Serero D, Goldenberg C, Noskowicz S H and Goldhirsch I 2008 Powder Technology 182 257
[24] Kondic L and Behringer R P 2004 Eur. Phys. Lett. 67 205
[25] Colizza V, Barrat A and Loreto V 2002 Phys. Rev. E 65 050301(R)
[26] Berthier L and Barrat J L 2002 Phys. Rev. Lett. 89 095702
[27] Sarkar S and Khakhar D V 2008 Eur. Phys. Lett. 83 54004
[28] Radjai F and Roux S 2002 Phys. Rev. Lett. 89 064302
[29] Mehta A and Edwards S F 1989 Physica A 157 1091
[30] Edwards S F and Grinev D V 1998 Phys. Rev. E 58 4758
[31] Edwards S F and Mounfield C C 1994 Physica A 210 290
[32] Barrat A, Kurchan J, Loreto V and Sellitto M 2000 Phys. Rev. Lett. 85 5034
[33] Behringer B 2002 Nature 415 594
[34] Makse H A and Kurchan J 2002 Nature 415 614
[35] Potiguar F Q and Makse H A 2006 Eur. Phys. J. E 19 171
[36] Song C, Wang P and Makse H A 2005 Proc. Natl. Acad. Sci. USA 102 2299
[37] Wang P, Song C, Briscoe C and Makse H A 2008 Phys. Rev. E 77 061309
[38] Geng J and Behringer R P 2004 Phys. Rev. Lett. 93 238002
[39] D'Anna G, Mayor P, Loreto V and Norl F 2003 Nature 424 909
[40] Mayor P, D'Anna G, Barrat A and Loreto V 2005 New J. Phys. 7 28
[41] Chen Y P, Hou M Y, Jiang Y M and Liu M 2013 Phys. Rev.E 88 052204
[42] Chen Y P, Pierre E and Hou M Y 2012 Chin. Phys. Lett. 29 074501
[43] Chen Y P, Pierre E and Hou M Y 2013 Acta. Phys. Sin. 62 164503 (in Chinese)
[44] Puglisi A, Baldassarri A and Loreto V 2002 Phys. Rev. E 66 061305
[45] Brey J J, Prados A and Sánchez-Rey B 2000 Physica A 275 310
[46] Brey J J, Cubero D, Moreno F and Ruiz Montero M J 2001 Europhys. Lett. 53 432
[47] Hou M Y, Tu H E, Liu R, Li Y C, Lu K Q, Lai P Y and Chan K C 2008 Phys. Rev. Lett. 100 068001
[48] Baxter G W and Olafsen J S 2003 Nature 425 680
[49] Chen Q and Hou M Y 2014 to be submitted
[50] Ullersma P 1966 Physica 32 27
[51] Grigera T S and Israeloff N E 1999 Phys. Rev. Lett. 83 5038
[52] Di L R, Angelani L, Parisi G and Ruocco G 2000 Phys. Rev. Lett. 84 6054
[53] Exartier R and Peliti L 2000 Eur. Phys. J. B 16 11
[54] Barrat J L and Berthier L 2000 Phys. Rev. E 63 012503
[55] Berthier L and Barrat J L 2002 J. Phys. Chem. B 116 6228
[56] Cleve B, Movaghar B, Schumacher R and Thomas P 1991 J. Non-Cryst. Solids 137 415
[57] Nebel C E, Street R A, Johnson N M and Tsai C C 1992 Phys. Rev.B 46 6803
[58] Sadiki A and Hutter K 2000 J. Non-Equilib. Thermodyn. 25 131
[59] Sancho P and Llebot J E 1994 Physica A 205 623
[60] Jiang Y M and Liu M 2009 Granular Matter 11 139
[1] X-ray tomography study on the structure of the granular random loose packing
Yi Xing(邢义), Yu-Peng Qiu(邱宇鹏), Zhi Wang(王智), Jia-Chao Ye(叶佳超), Xiang-Ting Li(李向亭). Chin. Phys. B, 2017, 26(8): 084503.
[2] Granular packing as model glass formers
Yujie Wang(王宇杰). Chin. Phys. B, 2017, 26(1): 014503.
[3] Dependence of effective screening length in granular columns on bead and silo sizes and their ratio
Ali Shah, Ahmed Khan, Saeed Ahmed Khan. Chin. Phys. B, 2013, 22(5): 058301.
[4] Maturing process of solitary wave train in a step-down chain
Xia Ji-Hong(夏继宏), Wang Ping-Jian(王平建), and Liu Chang-Song(刘长松) . Chin. Phys. B, 2012, 21(2): 024501.
[5] A molecular dynamics simulation of segregation behaviours of horizontally vibrated binary granular mixture
Xia Ji-Hong(夏继宏), You Yu-Wei(尤玉伟), Wang Pan-Pan(汪盼盼), Wang Wei-Lu(王炜路), and Liu Chang-Song(刘长松). Chin. Phys. B, 2010, 19(5): 056404.
No Suggested Reading articles found!