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

Journal

CHINESE PHYSICS B
Volume 23, Issue 7, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/23/7/074501

Keywords

granular systems; fluctuation-dissipation relation; non-equilibrium thermodynamics

Funding

  1. Key Program of the National Natural Science Foundation of China [11034010]
  2. National Natural Science Foundation of China [11274354]
  3. Special Fund for Earthquake Research of China [201208011]
  4. Chinese Academy of Sciences Strategic Priority Research Program -SJ-10 [XDA04020200]

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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.

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