Frequency-Dependent Fluctuation-Dissipation Relations in Granular Gases

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dc.contributor.authorBunin, Guy
dc.contributor.authorShokef, Yair
dc.contributor.authorLevine, Dov
dc.date2023-05-17T05:55:19.000
dc.date.accessioned2023-05-23T00:22:54Z
dc.date.available2023-05-23T00:22:54Z
dc.date.issued2008-05-09
dc.date.submitted2011-01-25T09:58:05-08:00
dc.description.abstractThe Green-Kubo relation for two models of granular gases is discussed. In the Maxwell model in any dimension, the effective temperature obtained from the Green-Kubo relation is shown to be frequency independent and equal to the average kinetic energy, known as the granular temperature. In the second model analyzed, a mean-field granular gas, the collision rate of a particle is taken to be proportional to its velocity. The Green-Kubo relation in the high-frequency limit is calculated for this model, and the effective temperature in this limit is shown to be equal to the granular temperature. This result, taken together with previous results showing a difference between the effective temperature at zero frequency (the Einstein relation) and the granular temperature, shows that the Green-Kubo relation for granular gases is violated.
dc.description.commentsSuggested Citation: G. Bunin, Y. Shokef, D. Levine. (2008). "Frequency-dependent fluctuation-dissipation relations in granular gases." Physical Review E. 77, 051301. © 2008 The American Physical Society http://dx.doi.org/10.1003/PhysRevE.77.051301.
dc.identifier.urihttps://repository.upenn.edu/handle/20.500.14332/42793
dc.legacy.articleid1112
dc.legacy.fieldstrue
dc.legacy.fulltexturlhttps://repository.upenn.edu/cgi/viewcontent.cgi?article=1112&context=physics_papers&unstamped=1
dc.source.issue108
dc.source.journalDepartment of Physics Papers
dc.source.peerreviewedtrue
dc.source.statuspublished
dc.subject.otherPhysical Sciences and Mathematics
dc.subject.otherPhysics
dc.titleFrequency-Dependent Fluctuation-Dissipation Relations in Granular Gases
dc.typeArticle
digcom.contributor.authorBunin, Guy
digcom.contributor.authorShokef, Yair
digcom.contributor.authorLevine, Dov
digcom.identifierphysics_papers/108
digcom.identifier.contextkey1744455
digcom.identifier.submissionpathphysics_papers/108
digcom.typearticle
dspace.entity.typePublication
upenn.schoolDepartmentCenterDepartment of Physics Papers
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