简介：在前後一致的Hartree-Fock近似以内，一在为不同类的Bose气体的扎根的州的精力的这近似表情明确是被导出一Bose爱因斯坦冷凝物的不同类的密度功能。获得的结果与Bose爱因斯坦冷凝物为系统在单个粒子的密度矩阵基于离开斜的远程的顺序的存在。这使避免异常一般水准的使用可能。动能的明确的形式，在Gross-Pitaevski途径不同于一个，被发现。动能的获得的形式在Hartree-Fock近似以外是有效的并且能被申请任意的强壮的interparticle相互作用。

简介：ThecomparativenumericalandanalyticalanalysisofscintillationindicesofthevortexLaguerre–GaussianbeamandthenonvortexdoughnutholeandGaussianbeamspropagatingintherandomlyinhomogeneousatmospherehasbeenperformed.Ithasbeenfoundthatthedependenceofthescintillationindexattheaxisoftheopticalvortexontheturbulenceintensityatthepathhastheformofaunitstep.Ithasbeenshownthatthebehaviorofscintillationsinthecrosssectionsofvortexandnonvortexbeamsdifferswidely.DespitethescintillationindexofvortexbeamshasbeencalculatedonlyforthesimplestLG10mode,theobtainedresultsarequitegeneral,becausetheydemonstratethemainpropertiesinherentinscintillationsofvortexbeamsofanytype.

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简介：WestudythermodynamicsoftheparabolicLemaitre-Tolman-Bondi(LTB)cosmologysupportedbyaperfectSuidsource.ThismodelisthenaturalgeneralizationoftheSatFriedmann-Robertson-Walker(FRW)universe,anddescribesaninhomogeneousuniversewithsphericalsymmetry.AfterreviewingsomebasicequationsintheparabolicLTBcosmology,weobtainarelationforthedecelerationparameterinthismodel.Wealsoobtainaconditionforwhichtheuniverseundergoesanacceleratingphaseatthepresenttime.WeusethefirstlawofthermodynamicsontheapparenthorizontogetherwiththeEinsteinfieldequationstogetarelationfortheapparenthorizonentropyinLTBcosmology.WefindoutthatinLTBmodelofcosmology,theapparenthorizon’sentropycouldbefeededbyaterm,whichincorporatestheeffectsoftheinhomogeneity.Weconsiderthisresultandgetarelationforthetotalentropyevolution,whichisusedtoexaminethegeneralizedsecondlawofthermodynamicsforanacceleratinguniverse.WealsoverifythevalidityofthesecondlawandthegeneralizedsecondlawofthermodynamicsforauniversefilledwithsomekindsofmattersboundedbytheeventhorizonintheframeworkoftheparabolicLTBmodel.

简介：Thethermalentanglementofatwo-qubitanisotropicHeisenbergXYZchainunderaninhomogeneousmagneticfieldbisstudied.Itisshownthatwheninhomogeneityisincreasedtoacertainvalue,theentanglementcanexhibitalargerrevivalthanthatoflessvaluesofb.Thepropertyisbothtrueforzerotemperatureandafinitetemperature.Theresultsalsoshowthattheentanglementandthresholdtemperaturecanbeincreasedbyincreasinginhomogeneousexternalmagneticfield.

简介：在这份报纸，我们调查光谱为在三种尺寸的混合不同类的边界价值问题的方法。在Jacobi加权的Sobolev空格的三维的Legendre近似上的一些结果被建立，它改进并且概括存在结果，并且在部分微分方程的数字解决方案起一个重要作用。我们也开发一种上升技术，我们能容易与处理混合不同类的边界条件。作为应用程序的例子，光谱计划与混合不同类的边界条件被为三个模型问题提供。光谱在建议算法的空间的精确性被证明。有效实现被介绍。数字结果表明他们的高精确性，并且证实理论分析很好。

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简介：Basedonthetheoryofcomplexfunctionandtheprincipleofhomogenization,harmonicdynamicsstressofaradiallyinfiniteinhomogeneousmediumwithacircularcavityisinvestigated.Duetothesymmetry,wavevelocityisassumedtohavepower-lawvariationintheradialdirectiononly,andtheshearmodulusisconstant.TheHelmholtzequationwithavariablecoefficientisequivalentlytransformedintoastandardHelmholtzequationwithageneralconformaltransformationmethod(GCTM).Thedisplacementsandstressfieldsareproposed.Numericalresultsshowthatthewavenumberandtheinhomogeneityparameterofthemediumhavesignificanteffectsonthedynamicstressconcentrationaroundthecircularcavity.Thedynamicstressconcentrationfactor(DSCF)becomessingularwhentheinhomogeneityparameterofmediumisclosetozero.

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简介：Wetheoreticallyinvestigatehigh-orderharmonicgenerationinatwo-colormulti-cycleinhomogeneousfieldcombinedwitha27thharmonicpulse.Byconsideringabowtie-shapedgoldnanostructure,thespatiotemporalprofilesofenhancedplasmonicfieldsareobtainedbysolvingtheMaxwellequationusingfinite-domaintime-differencemethod.Basedonquantum-mechanicalandclassicalmodels,theeffectof27thharmonicpulse,temporalprofileofenhancedplasmonicfieldandinhomogeneityonsupercontinuumgenerationareanalyzedanddiscussed.Asaresult,broadbandsupercontinuumcanbegeneratedfromourapproachwithoptimizedgapsizeofnanostructure.Moreover,theseresultsarenotsensitivelydependentontherelativephaseinthetwo-colorfield.

简介：Thefollowinginitial-boundaryvalueproblemforthesystemswithmultidimensionalinhomogeneousgeneralizedBenjamin-Bona-Mahony(GBBM)equationsisreviewed.Theexistenceofglobalattractorsofthisproblemwasprovedbymeansofauniformprioriestimatefortime.

简介：Wereporttheobservationofelectricfieldinducedrandomlasinginadyedopedliquidcrystalsystem.ThiswasachievedbyusingaliquidcrystalhostwithnegativedielectricanisotropydopedwithlaserdyePM597ina75μmcellwithahomeotropicalignmentlayer.Intheabsenceofanappliedfield,onlyamplifiedspontaneousemissionwasobservedsincetheliquidcrystalorientationwasuniform.However,applicationofafieldresultedinafieldinducedplanar-likeconfigurationwithlocalnonuniformityinliquidcrystalorientation.Thisledtorandomlasingintheenergizedstate(voltagegreaterthanatransitionthreshold).Theonsetoflasingoccursbyapplicationofeitheraspatiallyhomogenousoraspatiallyinhomogeneouselectricfieldacrosstheliquidcrystal.Thecharacteristicsoftheemissionspectraasafunctionofdifferent(i)dyeconcentrationand(ii)appliedvoltagewereinvestigatedusingnanosecondpulsedlaserexcitationat532nm.Theeffectsofusinganinhomogeneousfieldwerecomparedtotheuseofahomogenousfieldandreported.Itisshownthatthespatialconfigurationcanbeusedtoaltertheemissionspectraofthesystem.Theworkisusedtosuggestanewconfiguration,referredtohereas'reversemode,'forliquidcrystal-basedrandomlasers.Thisnewconfigurationmayprovideadditionalavenuesfortheiruseincommercialdevices.

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