Contents - Max-Planck-Institut für Physik komplexer Systeme
Contents - Max-Planck-Institut für Physik komplexer Systeme
Contents - Max-Planck-Institut für Physik komplexer Systeme
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continuousspectrum)attheedgeoftheKAMtoriregion.Thislimitstatecouldneverthelessexhibita<br />
longspatialtailanddivergingsecondmoment.Thislimitprofileifanyisnotsupposedtobeuniqueas<br />
foranattractorindissipativesystems(sinceoursystemisHamiltonian)butitshouldbehighlysensitive<br />
totheinitialconditions.Thesespeculativeideaswerebuiltforconsistencywiththenumericaldataand<br />
thefewexactanalyticalwhichareknown,butfurtherbothmoresophisticatedanalyticalandnumerical<br />
investigationsarerequiredtotestthem.<br />
Severalpapersrelatedtothisproblemwerepublishedincollaborationwithinvitedvisitorsat mpipks.<br />
In[1],RolfSchillingandIinvestigatesimplifiednon-linearinfinitemodelswhereonlyafinitenumberof<br />
oscillatorsarenonlinearandtherestislinear.Inthatmodels,itwasproventhatlimitstateswithsingular<br />
continuousspectrummayexist. Inanotherpaper[2]StefanoLepri,RolfSchillingandIinvestigateda<br />
purelylinearmodelwithAndersonlocalizationbutwherethelocalizationlengthdivergesforaccoustic<br />
modes.Despitethereisnowavepacketspreading,thewavepacketdevelopslongtailssothatthesecond<br />
momentoftheenergydistributiondivergesasapowerlawoftime.Thus,thesecondmomentdivergency<br />
cannotbeconsideredasagoodcriteriaforenergyspreading.Inthenextpaper[3]MagnusJohansson,<br />
GeorgeKopidakisandIpresentnumericalevidencefortheexistenceofnonspreadingwavepacketswhich<br />
maybeconsideredasKAMtoriininfinitedimensionalsystems.Finally,inthelastpaper[4]Isummarize<br />
ourresultsandsetconjecturesandunsolvedquestions.<br />
[1] S.AUBRYandR.SCHILLING<br />
AnomalousThermostatandIntrabandDiscreteBreathers<br />
PhysicaD2382045(2009)<br />
[2] S.LEPRI,R.SCHILLINGandS.AUBRY<br />
AsymptoticEnergyProfileofaWave-PacketinDisorderedChains<br />
PRE82056602(2010)<br />
[3] M.JOHANSSON,G.KOPIDAKISandS.AUBRY<br />
KAMtoriin1DRandomDNLSModels?<br />
EPL9150001(2010)<br />
[4] S.AUBRY<br />
KAMtoriandAbsenceofDiffusionofaWave-packetinthe1DRandomDNLSmodel.submittedtoIJBC(2010)SpecialIssueedited<br />
byProf.GregoireNicolis,Prof.MarkoRobnik,Dr.VassilisRothosandDr.HarisSkokos<br />
3.3.4 CollaborationwithExperimentalGroups<br />
AnumberofjointcollaborationswithexperimentalgroupsinGermany,EuropeandtheUShasbeen<br />
partiallysupportedby mpipks.<br />
• CouplingofhairbundlesenhancestheiramplificationpropertieswithJ.Barral,P.Martin,<strong>Institut</strong><br />
Curie(Paris,France)<br />
• StochasticadaptationinanauditoryreceptorcellwithK.FischandJ.Benda,LMUMünchen<br />
• Serialcorrelationsinthedrop-outstatisticsofanexcitablelaserunderdichotomousdrivingwithJ.<br />
T.AlsinaandJ.Garcia-Ojalvo,UniversitatdeCatalunya(Spain)<br />
• LocalMotionanalysisdependenceofintracellularsub-diffusiononcytoskeletoncomponents with<br />
M.OttenandD.Heinrich,LMUMünchen<br />
• CapturingoflostkinetochoresbyrandomangularmovementsofmicrotubuleswithI.Tolić-Nørrelykke,<br />
MPI-CBGDresden<br />
• FiringstatisticsofreceptorcellsunderdrivingwithstochasticoscillationswithA.NeimanandD.<br />
Russel,OhioUniversityAthens(USA)<br />
• ParasitesandFoodWebswithK.Lafferty, UnitedStatesGeographicalSurveyandUCSanta<br />
Barbara(USA)<br />
• Self-propelledparticles withI.Couzin,PrincetonUniversity(USA)<br />
• MolecularinterferometrywithM.Arndt,UniversityofVienna(Austria)<br />
• MolecularinterferometrywithH.Ulbricht,UniversityofSouthampton(UK)<br />
• InterfaceroughnessindevelopingtissueswithC.Dahmann,MPI-CBGDresden<br />
• CollectivedynamicsofmotormoleculeswithS.Diez,BCUBEandTU-Dresden<br />
• RoleofpullingforcesincelldivisionwithM.Dogterom,AMOLFAmsterdam(Netherlands)<br />
110 DetailsandData