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First steps of a nucleation theory in disordered systems

First steps of a nucleation theory in disordered systems

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时间：2019-05-27

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1、FirststepsofanucleationtheoryindisorderedsystemsSilvioFranzTheAbdusSalamInternationalCenterforTheoreticalPhysicsStradaCostiera11,P.O.Box563,I-34100Trieste(Italy)E-mail:franz@ictp.trieste.itFebruary2,2008AbstractWedeviseafieldtheoreticalformalismforamicroscopictheoryofnucleationprocessesandphasec

2、oexistenceinfinitedimensionalglassysystems.Westudydisorderedp-spinmodelswithlargebutfiniterangeofinteraction.Weworkintheframeworkofglassyeffectivepotentialtheorywhichinmean-fieldisanon-convex,twominimafunctionoftheoverlap.Weassociatemetastabilityandphasecoexistencewiththeexistenceofspaceinhomogeneo

3、ussolutionsofsuitablefieldequationsandwestudythesimplestofsuchsolutions.1IntroductionAprominenttheoreticalprobleminthephysicsofglassysystemsisthecom-arXiv:cond-mat/0412383v2[cond-mat.stat-mech]23Feb2005prehensionoftheprocessesthatrestoreergodicityinregionswhereapprox-imatedliquidtheoriesorMean-F

4、ieldmodelspredictaspuriousstructuralarrest.ItiswellknownthattheModeCouplingTheory[1],whiledescribingcorrectlyseveralaspectsofthedynamicsofmoderatelysupercooledliquids,1predictsthedivergenceoftherelaxationtimeandergodicitybreakingatatemperatureTcwellabovetheobservedlaboratoryglasstransitiontempe

5、r-atureTG.Inthesocalled“randomfirstorderphasetransitionscenario”[2],correspondingto“onestepreplicasymmetrybreaking”(1RSB)[3]inmeanfielddisorderedmodels,thisergodicitybreakingappearstoberelatedtotheappearanceofexponentiallynumerousmetastablestates,capabletotrapthesysteminregionsoffree-energyextens

6、ivelyhigherthanthethermo-dynamicvalue.WithinthisscenarioaKauzmann-likeentropycrisisoccursatatemperatureTK

7、charac-terofinteractionisproperlytreated.Aremarkablehypothesisstatesthatwhileacquiringafinitelifetime,thegrossstructureofmetastablestatessurvivesinshortrangeglassysystemsanddominatesthelowtemperaturerelaxation.Unfortunately,amicros

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