Surface freezing and a two-step pathway of the isotropic-sme(4)

发布时间:2021-06-05

We study the kinetics of the isotropic-smectic phase transition in a colloidal rod/polymer mixture by visualizing individual smectic layers. First, we show that the bulk isotropic-smectic phase transition is preceded by a surface freezing transition in whi

thesetwomorphologiesissmallandwillexaminetheirrelativestabilityelsewhere.

Realspaceimagesenablesustostudytheki-neticpathwayfortheformationofcolloidalmem-branes.Theycaneitherhomogeneouslynucleatefromthemetastableisotropicsuspensionorcanhet-erogeneouslynucleateatthesurface-inducedsmecticphase(Fig.4aandb).Acolloidalmembranenucle-atedattheinterfacegrowsintotheisotropicphaseeitherasatwistedribbonora atdisk.Overape-riodofafewdaystwistedribbonscanreachalengthsofseveralhundredsmicrons.Fluorescenceimagesindicatethattherearenorodsintheisotropicsolu-tion.Thereforecolloidalmembranes(ribbons)mustelongateduetorodsthatdi usefromametastablenematicphasethroughasurfacesmectictoamorestablecolloidalmembrane.Thefactthatthereisatransportofrodsacrosstheinterfaceshowsthatthecolloidalmembranesarestructureswithlowerfreeenergythanthenematicphaseorbulksmecticphase.Atlowerdegreesofsupercoolingwemostlyobserveheterogenoussurfaceinducednucleationin-steadofhomogeneousnucleationofcolloidalmem-branes.Thisshowsthatatwo-stepkineticpathwayhasalowernucleationbarrierfortheformationofcolloidalmembranes.Tosummarize,thephasesep-arationinregion3ofthephasediagramproceedsintwosteps.Inthe rststepontimescaleofsecondstominutesweobservetheformationofnematictac-toidswithsurfacesmecticphaseidenticaltothoseobservedinregion2.However,thesetactoidsaremetastable.Inthesecondslowsteponatimescaleofhourstomonthsweobservethenucleationofcol-loidalmembranesatthesurfacefrozensmecticphaseandtheirsubsequentgrowthintotheisotropicphase.Afewcommentsareinorderregardingthestruc-turesobservedinregion3.First,toourknowledgethisisthe rsttimethatnon-amhiphilicobjectswithverysimpleexcludedvolumeinteractionshavebeenselfassembledinto2Dmembrane-like(Fig.4c)and1Dpolymerlikestructures(Fig.2f)[26].Wespec-ulatethatthesestructuresarestabilizedbyprotru-sionlike uctuations[27].Second,itseemsplau-siblethatisolatedcolloidalmembranesobservedinregion3arehighlyswollenlamellarphasesprevi-ouslyobservedinmixturesofnematicfdandhardspheres[4].Theswellingofthelamellarphaseis

predictedtheoretically,buthasyettobeobservedinexperiments[28].Third,astheosmoticpres-sureisincreasedthereisatransitiontoregion4inwhichsmallcolloidalmembranesirreversiblystackupontopofeachothertoformelongated laments(Fig.2g).Thenatureofthetransitionfromiso-latedmembranestoasmecticphaseremainsun-explored.Fourth,uallythereversee ectisob-servedpathwayswhereastablenucleusiswettedbyametastablephase[5,29]

Inconclusion,therearetwoimportantresultsthatcanbededucedfromourexperiments.The rstsur-prisingresultisthatarod/polymermixtureexhibitssurfacefreezinginwhichaquasi2DsmecticphasewetstheI-Ninterface.Thise ectoccursatrodcon-centrationof235mg/mlwhilebulkI-Sphasetran-sitionoccursat255mg/ml.Toourknowledgethisisthe rsttimethatthesurfacefreezinghasbeendirectlyvisualizedinasystemwhosephasebehaviorisdominatedbyentropicrepulsiveinteractions.Thesecondresultofthisworkistodemonstratethere-lationshipbetweenthesurfacefreezingandthebulkisotropic-smecticphasetransition.Acomplextwostepkineticpathwayforthenucleationofthesmec-ticphaseoutoftheisotropicsolutionhasbeeniden-ti ed.Inthe rststepametastablenematicdropletwithasurfacefrozensmecticphasenucleatesintheisotropicsolution.Inthenextstepisolatedmono-layers(colloidalmembranes)ofsmecticphasenucle-ateatthesurfacesmecticphaseandsubsequentlygrowintotheisotropicphase.Duetothesimplicityandgeneralityoftheexcludedvolumeinteractionswhichdominatethephasebehavioroffd/Dextranmixture,theresultspresentedhereshouldberele-vanttoamuchwiderclassofsystemsthanthosestudiedhere.

IwishtothankSethFraden,GerhardGompper,ArjunYodh,TomLubensky,DanielChen,PeterLangandPavlikLettingaforusefuldiscussions.IamparticularyindebtedtoJanDhontforhishos-pitalityatFZ-JuelichandtheAlexandervonHum-boldtfoundationfor nancialsupport.PartofthisworkwasdoneatBrandeisUniversitywherethisresearchwassupportedbytheNSF-DMRgranttoSethFraden.

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