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.
简介:Inthepaper,relativisticfilamentationofintenselaserbeamininhomogeneousplasmaisinvestigatedbasedonthenonparaxialregiontheory.Theresultsshowthat,relativisticnonlinearityplaysamainroleinbeamfilamentation,andplasmainhomogeneityfurtherreinforcesthebeamfilamentation.Thecombinationeffectsofrelativisticnonlinearityandplasmainhomogeneitycangenerateparticularlyintenseandshortpulselaser.However,plasmainhomogeneityleadstoobviousfilamentationinstability.
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:ThelateMesozoictwogianteventsthathavesynchronouslyoccurredinthePacificandperipheryarethetectono-magmaticactivitiesoftheCircum-PacificmobilebeltandtheDarwinRise.TheirdynamicsanalysisindicatesthatthegeodynamicsresponsibleforPacificgenesishasbeendrivenbythegravityinstabilitybetweenaPacific-widesuperplumeheadanditslithosphericoverburdenundertheinfluenceofeastwardasthenosphericflowbytheEarthspin.TheworldwideactivationofmaficmagmatismwasinitiatedinthePaleozoicandclimaxedaroundtheJurassic.TheseparatednotworldwidedistributionofthemagmatismontheEarthsuggeststheinhomogeneousreheatingofuppermantle,asrepresentedbythePacific-widesuperplumehead.ThePhanerozoicreheatingthusputforwardtheEarthhistoryintoanewgeotectonicstage,i.e.,thediwastage.
简介:Thethermalentanglementofatwo-qubitanisotropicHeisenbergXYZchainunderaninhomogeneousmagneticfieldbisstudied.Itisshownthatwheninhomogeneityisincreasedtoacertainvalue,theentanglementcanexhibitalargerrevivalthanthatoflessvaluesofb.Thepropertyisbothtrueforzerotemperatureandafinitetemperature.Theresultsalsoshowthattheentanglementandthresholdtemperaturecanbeincreasedbyincreasinginhomogeneousexternalmagneticfield.
简介:Basedonthetheoryofcomplexfunctionandtheprincipleofhomogenization,harmonicdynamicsstressofaradiallyinfiniteinhomogeneousmediumwithacircularcavityisinvestigated.Duetothesymmetry,wavevelocityisassumedtohavepower-lawvariationintheradialdirectiononly,andtheshearmodulusisconstant.TheHelmholtzequationwithavariablecoefficientisequivalentlytransformedintoastandardHelmholtzequationwithageneralconformaltransformationmethod(GCTM).Thedisplacementsandstressfieldsareproposed.Numericalresultsshowthatthewavenumberandtheinhomogeneityparameterofthemediumhavesignificanteffectsonthedynamicstressconcentrationaroundthecircularcavity.Thedynamicstressconcentrationfactor(DSCF)becomessingularwhentheinhomogeneityparameterofmediumisclosetozero.
简介:ThespectraoffiberBragggrating(FBG)ininhomogeneousstrainfieldsaredistortedduetoitsinhomogeneityofboththeperiodsandtheeffectiverefractiveindex.ThecouplemodetheoryandtheRunge-KuttamethodcanbeemployedforexactsimulationofthespectrumofBragggratinginsuchfield,buttheconvergencespeedisslow.Ontheotherhand,althoughthetransfermatrixmethodcouldbeusedwithhigherconvergencespeed,theprecisionispoorbecauseoftheneglectofthegradsofstrainchange.ByimprovingtheFBGequivalentperiod,anovelsimulationmethodbasedonamodifiedtransfermatrixmethodisproposed,whichhastheadvantageofquick-convergenceaswellasgoodaccuracy.
简介:Basedonthetropicalcyclone(TC)asymmetricdisturbanceasthesuperpositionofthesymmetricenvironmentalcirculation,theanalyticalsolutionoftravellingwaveisgivenbyusingthebarotropicalnondivergentmodelwithdiabaticheatingforcingandnon-frictioninaplanepolarcoordinate.Then,theTCradialinhomogeneousstructureisanalyzedonradial/tangentialvelocityandgeopotentialheight.ItisfoundthatthedifferentkindsofstructuresareinfluencedbytheCoriolisparameter(f),TCintensity(Ω),disturbancecircularfrequency(ω),andTCangularwavenumber(m).And,thediabaticheating(Q1)hassignificantimpactsontheradial/tangentialvelocitydistributionshapedliketheinner-tightandouter-relaxed.
简介:TheelectromagneticpropagationthroughaninhomogeneousmagnetizedplasmaslabisstudiedusingtheZ-transformformulationoftheFinite-DifferenceTime-Domain(FDTD)method.Thedirectionofelectromagneticpropagationisparalleltothebiasingmagneticfiled.TovalidatetheZ-transformalgorithm,thereflectionandtransmissioncoefficientsfortheright-handcircularlypolarizedwaveofthehomogeneousmagnetizedplasmaslabarecomputedbymeansofdiscreteFouriertransform.ThecomparisonbetweenthereflectionandtransmissioncoefficientsofthehomogeneousplasmaslabandanalyticalvaluesindicatesthatZ-transformalgorithmisveryaccurate.Whentheplasmafrequencyvariesaccordingtothesquarerootandparabolicrelations,thereflectionandtransmissioncoefficientsoftheinhomogeneousmagnetizedplasmaslabarecomputed.
简介:Thelong-spanbridgeresponsetononstationarymultipleseismicrandomexcitationsisinvestigatedusingthePEM(pseudoexcitationmethod).Thismethodtransformsthenonstationaryrandomresponseanalysisintoordinarydirectdynamicanalysis,andtherefore,theanalysiscanbesolvedconvenientlyusingtheNewmark,Wilson-θschemesorthepreciseintegrationmethod.Numericalresultsoftheseismicresponseforanactuallong-spanbridgeusingtheproposedPEMaregivenandcomparedwiththeresultsbasedontheconventionalstationaryanalysis.Fromthenumericalcomparisons,itwasfoundthatboththeseismicspatialeffectandthenonstationaryeffectarequiteimportant,andthatbothstationaryandnonstationaryseismicanalysisshouldpayspecialattentiontothewavepassageeffect.