09.03.2013 Views

Contents - Max-Planck-Institut für Physik komplexer Systeme

Contents - Max-Planck-Institut für Physik komplexer Systeme

Contents - Max-Planck-Institut für Physik komplexer Systeme

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!