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1、JournalofStatisticalPhysics,VoL88,Nos.5/6,1997IntermittencyinStochasticallyPerturbedTurbulentModelsL.Biferale,1'2M.Cencini,3D.Pierotti,4andA.Vulpiani3'5ReceivedJuly16,1996;finalFebruary3,1997RandomdynamicalmodelsobtainedasaperturbationoftheGOY(Gledzer-Ohkitani-Yamada)s
2、hellmodelforthree-dimensionalturbulencearedefined.Bothstatic(time-independent)anddynamicalscalingpropertiesoftheran-domlyperturbedmodelarestudied.Therandomstatic-inviscidmanifold,incontrasttothedynamicalevolution,doesnotshowintermittentscalinglaws.Thisbehaviorislinkedt
3、otheabsenceoflargedeviationintherandom-mapconnectingfluctuationsofvelocitiesatdifferentscales.Theimportanceofinviscidconservedquantitiesontheintermittentstatisticsisdiscussed.Differentrandomdynamicalperturbationssuchthatonlyenergyisconservedintheinviscidandunforcedlimi
4、tareinvestigated,lntermittencyisweaklyaffectedbyrandomperturbations.KEYWORDS:Fullydevelopedturbulence;intermittency;randommaps;largedeviations.1.INTRODUCTIONTheunderstandingofthesmall-scalestatisticsofthree-dimensionalfullydevelopedturbulenceisoneofthemainopenproblemso
5、fclassicalphysics.ThephenomenologicaltheoryofKolmogorov(K41)anditssequentmulti-fractalmodification(seeref.1forarecentoverview)giveaqualitativelycorrectdescriptionofthemainmechanismsactingatveryhighReynoldsnumbers.OneofthemaingoalsistounderstandtheoriginofscalingDiparti
6、mentodiFisica,UniversitfidiTorVergata,1-00133Rome,Italy.2IstitutoNazionaleFisicadellaMateria,unit/t"RomaTorVergata,"Rome,Italy.3DipartimentodiFisica,UniversitfidiRoma"laSapienza,"1-00185Rome,Italy.4DipartimentodiFisica,Universit/tdell'Aquila,1-67010Coppito,L'Aquila,Ita
7、ly.5IstitutoNazionaleFisicadellaMateria,unitfidiRoma,Rome,Italy.11170022J,715/97/0900-1117512.50/0~1997PlenumPublishingCorporation1118Biferaleetal,lawsforstructurefunctions,Sp(r),definedasthemomentsofvelocityincrementsatscaler.Experiments~2)showthatstructurefunctionssc
8、aleas:Sp(r)--~~,.~rr162r=lrl(I)ifrischosenintheinertialrange,i.e.muchsmallerthentheintegrals
