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BernardDerrida
ferentapproachesshowthatdilusivesystemsgenericallyexhibitlongrangecorrelations
[14;15;22;34;53;55]andalargedeviationfunctionofthedensitywhichisnonlocal.
Howtogeneralizetheseresultsoncurrentanddensityfluctuationstomechanicalmodels
whichdonotsatisfyFourier)slawisoneoftheopenquestionsraisedintheconclusion
[16;57;58].
References
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[2]Appert-Rolland?C.?Derrida?B.?Lecomte?V.?Vanwijland?F.(2008).Universal
cumulantsofthecurrentindilusivesystemsonaring.PhysicalReviewE?78(2)?
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scopicfluctuationtheory.ReviewsofModernPhysics?87(2)?593.
[9]Bertini?L.?Gabrielli?D.?Lebowitz?J.L.(2005).Largedeviationsforastochastic
modelofheatflow.Journalofstatisticalphysics?121(5-6)?843-885.
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[15]Bodineau?T.?Derrida?B.?Lebowitz?J.L.(2010).Adilusivesystemdrivenby
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