简介:在装载的biaxial下面的液体水晶弹性体(LCE)的thermo-order-mechanical行为在这份报纸被学习。为非线性的有弹性的问题的反的方法被强加拉长到薄矩形的样品的biaxial利用。新古典的有弹性的精力和Landau-deGennesnematic被使用免费精力。在飞机压力假设下面,组成的方程被导出。由于装载的强加的biaxial导致的液体晶体分子的可能的重取向,装载轴将有最大的有效主要紧张的非线性的压力紧张关系能有不同表情取决于的在里面飞机。并且免费精力是多好非凸的潜在的功能。是由一些典型装载路径出现,LCE样品将展出各向异性的非线性的有弹性的行为,只要装载没导致液体水晶分子的重取向。当这确实发生了时,压力跳能由于输稳定性为死了的装载发生。
简介:WehavecomprehensivelyinvestigatedthefrustratedJ1-J2-J3Heisenbergmodelonasimplecubiclattice.Thismodelallowsthreeregimesofmagneticorder,viz.,(π;π;π),(0;π;π)and(0;0;π),denotedasAF1,AF2,andAF3,respectively.Theeffectsoftheinterplayofneighboringcouplingsonthemodelarestudiedintheentiretemperaturerange.Thezerotemperaturemagneticpropertiesofthismodelarediscussedutilizingthelinearspinwave(LSW)theory,nonlinearspinwave(NLSW)theory,andGreen’sfunction(GF)method.ThezerotemperaturephasediagramsevaluatedbytheLSWandNLSWmethodsareillustrated,andareobservedtoexhibitdifferentparameterboundaries.Incertainregionsandalongtheparameterboundaries,thepossiblephasetransformationsdrivenbytheparametersarediscussed.TheresultsobtainedusingtheLSW,NLSW,andGFmethodsarecomparedwiththoseobtainedusingtheseriesexpansion(SE)method,andareobservedtobeingoodagreementwhenthevalueofJ2isnotclosetotheparameterboundaries.ThegroundstateenergiesobtainedusingtheLSWandNLSWmethodsareclosetothatobtainedusingtheSEmethod.Atfinitetemperatures,onlytheGFmethodisemployedtoevaluatethemagneticproperties,andthecalculatedphasediagramisobservedtobeidenticaltotheclassicalphasediagram.Theresultsindicatethatattheparameterboundaries,atemperature-drivenfirst-orderphasetransitionbetweenAF1andAF2mayoccuralongtheboundaryline.AlongtheAF1-AF3andAF2-AF3boundarylines,AF3islessstablethanAF1andAF2.OurcalculatedcriticaltemperatureagreeswiththatobtainedusingMonteCarlosimulationsandpseudofermionfunctionalrenormalizationgroupscheme.
简介:Inthispaper,weobtainaresultthatimprovestheresultsofGovilandNwaeze,QaziandtheclassicalresultofRivlin.
简介:[1]BASFUSP4479906[2]BASFBP1443541[3]BASFDE3618265[4]WangL.,WuZ.,ChinaLeather,26(8),11,(1997)[5]YuanL.,DinY.,ChineseChemistryBulletin,(2),19(1988)[6]KurokiH.,ChemistryofDyeingTheory(ChineseTranslation),TextileIndustryPress,Beijing,89(1982)[7]WangS.,LiP.,WuZ.DyestuffIndustry(Chinese),34(4),1,(1997)[8]Tian,Y.,Wu,Z.,Wang,G.,Zhang,S.J.ChineseChem.Eng.,46,156(1995)[9]Tian,Y.,Wang,G.,Wu,Z.,J.ChineseChem.Eng.,47,75(1996)[10]Lycka,A.,DyesandPigment,32,11(1996)[11]Griffith,J.,ColourandConstitutionofOrganicMolecules,AcademicPress,London,191(1976)
简介:AJ-CONVEXSUBSETWHICHISNOTPSH-CONVEXBuShangquan(步尚全)(Departmentofappliedmathematics,TsinghuaUniversity,Beijing100084,China)Abs...
简介:Dibromobiphenylreactedwithcynomethylanioninammoniaunderirradiationtoformnucleophilicbis-substitutedproductinhighyieldwithoutsubstantialmonosubstitutedproduct.Quantumyieldsfortheformationsofbis-andmonosubstitutedproductswerefoundtobe85.6and2.3×10-6respectively,whilethecorrespondingpseudo-first-orderrateswere6.9×10-3and5.2×10-10mol.L-1.S-1.Blockupthepossibleelectrontransferof4-brome-4’-cyanomethylbiphenylylradicalanionto4-cyanometbyl-biphenylylradicalandbromineion.
简介:Letp(z)=a_0+a_1z+a_2z~2+a_3z~3+···+a_nz~nbeapolynomialofdegreen.Rivlin[12]provedthatifp(z)≠0intheunitdisk,thenfor0