Fluctuation-dissipation relations in driven dissipative systems

Yair Shokef*, Guy Bunin, Dov Levine

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Exact theoretical results for the violation of time-dependent fluctuation-dissipation relations in driven dissipative systems are presented. The ratio of the correlation to delayed response in the stochastic model introduced in [Phys. Rev. Lett. 93, 240601 (2004)] is shown to depend on measurement time. The fluctuation temperature defined by this ratio differs both from the temperature of the environment performing the driving, and from other effective temperatures of the system, such as the average energy (or “granular temperatureâ€). General explanations are given for the time independence of the fluctuation temperature for simple measurements or long measurement times.

Original languageEnglish
Article number046132
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume73
Issue number4
DOIs
StatePublished - 2006
Externally publishedYes

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