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β-Ga.(2)O_(3)热电性能的第一性原理计算

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原子与分子物理学报 2025年第1期42卷 180-188页

作者：邓南发周贤中广东工业大学集成电路学院广州510006

通过使用第一性原理计算方法和玻尔兹曼输运理论,计算了β-Ga.(2)O_(3)的电学、热学和热电性质,并得出了热电性能因子随载流子浓度和温度的变化规律.此外,还考虑了声子散射和极性光学声子散射对平均电子弛豫时间的影响,并详细描述了不... 详细信息

通过使用第一性原理计算方法和玻尔兹曼输运理论,计算了β-Ga.(2)O_(3)的电学、热学和热电性质,并得出了热电性能因子随载流子浓度和温度的变化规律.此外,还考虑了声子散射和极性光学声子散射对平均电子弛豫时间的影响,并详细描述了不同载流子浓度和温度下β-Ga.(2)O_(3)的Seebeck系数、电导率、电热导率和功率因数的计算结果.最后,给出了β-Ga.(2)O_(3)的热电性能因子随载流子浓度和温度的变化趋势.结果表明,在高载流子浓度和高温下,β-Ga.(2)O_(3)具有较高的热电性能因子.

关键词： Ga.(2)O_(3) 第一性原理计算波尔兹曼输运理论热电性质

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LONG-TIME BEHa.IOR OF FINITE DIFFERENCE SOLUTIONS OF THREE-DIMENSIONa. NONLINEa. SCHRODINGER EQUa.ION WITH WEa.LY Da.PED

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Journa. of Computa.iona. Ma.hema.ics 2004年第4期22卷 593-604页

作者： fa-yongZha.g Depa.tmentofMa.hema.ics HeilongjiangUniversityHarbin150080China

The three-dimensiona. nonlinea. SchrSdinger equa.ion with wea.ly da.ped tha. possesses a.globa. a.tra.tor a.e considered. The dyna.ica. properties of the discrete dyna.ica. system which genera.e by a.cla.s of finite d... 详细信息

关键词： Nonlinea. Schrodinger equa.ion Finite difference method Globa. a.tra.tor

a.ditive effects on tin electrodepositing in a.id sulfate electrolytes

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Interna.iona. Journa. of Minera.s,Meta.lurgy a.d Ma.eria.s 2013年第5期20卷 472-478页

作者： fa-xin Xia. Xia.-ni Shen Feng-zha.g Ren a.ex a. Volinsky School of Ma.eria.s Science a.d Engineering Henan University of Science and Technology Depa.tment of Mecha.ica. Engineering University of South Florida

The effects of a.ditives on the sta.nous reduction of a. a.id sulfate ba.h were investiga.ed using cyclic a.d linea. sweep volta.metry, electrochemica. impeda.ce spectroscopy （EIS）, a.d microstructure a.a.ysis. In the a.sence of a.ditives, tin coa.ings a.e rough, a.d the tin electrodepositing is a.single-step reduction process a.compa.ied by hydrogen ga. evolution. The a.dition of ta.ta.ic a.id produces a.slight reduction in the pea. current of sta.nous reduction a.d ha. a. a.precia.ly positive effect on the sta.ility of the a.idic tin ba.h. Both benzylidene a.etone a.d polyoxyethylene octylphenol ether hinder the sta.nous reduction a.d grea.ly suppress the hydrogen ga. evolution. Forma.dehyde slightly decrea.es the pea. current density of sta.nous reduction a.d serves a. a. a.xilia.y brightener in the a.id sulfate ba.h. The presence of mixed a.ditives grea.ly suppresses the sta.nous reduction a.d hydrogen ga. evolution a.d consequently produces a.significa.tly smoother a.d denser tin coa.ing. The （112） crysta. face is found to be the domina.t a.d preferred orienta.ion of tin deposits.

关键词： electrodepositing tin a.ditives sta.nous reductiOn

a.gebra.c Conditions for Cla.sifying the Positiona. Rela.ionships Between TwoConies a.d Their a.plica.ions

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Journa. of Computer Science & Technology 2004年第5期19卷 665-673页

作者： Ya.gLiu fa-La.Chen Depa.tmentofComputerScience TheUniversityofHongKongHongKongSpecialAdministrativeRegionP.R.China Depa.tmentofMa.hema.ics UniversityofScienceandTechnologyofChinaHefei230026P.R.China

In ma.y fields of computer science such a. computer a.ima.ion, computergra.hics, computer a.ded geometric design a.d robotics, it is a.common problem to detect thepositiona. rela.ionships of severa. entities. Ba.ed on genera.ized cha.a.teristic polynomia.s a.dprojective tra.sforma.ions, a.gebra.c conditions a.e derived for detecting the va.ious positiona.rela.ionships between two pla.a. conies, na.ely, outer sepa.a.ion, exterior conta.t, intersection,interior conta.t a.d inclusion. Then the results a.e a.plied to detecting the positiona.rela.ionships between a.cylinder (or a.cone) a.d a.qua.ric. The criteria.is very effective a.dea.ier to use tha. other known methods.

关键词： collision detection projective tra.sforma.ion genera.ized cha.a.teristicpolynomia. positiona. rela.ionship

On the Complex Difference Equa.ion of Hypergeometric Type on Non-uniform La.tices

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a.ta.Ma.hema.ica.Sinica.English Series 2020年第5期36卷 487-511页

作者： Jin fa CHENG School of Ma.hema.ica. Sciences Xiamen UniversityXiamen 361005P.R.China

In this a.ticle,we obta.n a.new funda.enta. theorems for Nikiforov-Uva.ov-Suslov complex difference equa.ion of hypergeometric type by the method of Euler integra. tra.sforma.ion,its expression is different from Suslov’s *** a.so esta.lish the a.joint equa.ion for Nikiforov-Uva.ov-Suslov difference equa.ion of hypergeometric type on non-uniform la.tices,a.d prove it to be a.difference equa.ion of hypergeometric type on non-uniform la.tices a. *** pa.ticula. solutions of the a.joint equa.ion a.e then *** a. a.pliction of these pa.ticula. solutions,we use them to obta.n the pa.ticula. solutions for the origina. difference equa.ion of hypergeometric type on non-uniform la.tices a.d other importa.t results.

关键词： Specia. function orthogona. polynomia.s a.joint equa.ion difference equa.ion of hypergeometric type non-uniform la.tice

Ra.io jets a.d ga.a.ies a. cosmic string probes

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Frontiers of physics 2012年第4期7卷 461-470页

作者： fa-Bo Feng Depa.tment of a.tronomy Nanjing UniversityNanjing 210093China

The lensing effect of a.cosmic string is studied, a.d some new methods a.e proposed to detect the cosmic string. The technique for using jets a. extended gra.ita.iona. lensing probes wa. first explored by Kronberg. We use the ＂a.ignment-brea.ing pa.a.eter＂ nc a. a.sensitive indica.or of gra.ita.iona. distortion by a.wiggly cosmic string. Then, we a.plied the non-consta.t deflection a.gle to jets, a.d na.of a.specific jet is just rela.ed to the projected slope of the jet. a. lea.t three jets in the sa.ple of Squa.e Kilometer a.ra. （SKa. would ha.e significa.t signa.s （na.〉 10°） if the wiggly infinite cosmic string existed. The distortion of elliptica. object is a.so studied a.d used to do a.sta.istica. resea.ch on the directions of a.es a.d ellipticities of ga.a.ies. In the direction of the string, we find tha. ga.a.ies a.pea. to be more elliptica. for a. observer a.d the distribution of a.pa.ent ellipticity cha.ges correspondingly. The ellipticity distribution of current SDSS spira. sa.ple ha. the signa.- to-noise ra.io up to 8.48 which is la.ge enough for a.tronomica. observa.ions. The future survey, such a. La.ge Synoptic Survey Telescope （LSST） a.d Da.k Energy Survey （DES） would wea.en the requirement of specia. geometry in the da.a.processing. a. a.result, a.l kinds of distributions, including ellipticity a.is distribution, would serve a. probes to detect wiggly strings in the nea. future. In brief, if a.wiggly cosmic string existed, these signa.s would be convenient to be observed with the future wea. lensing survey or other surveys in the deep spa.e. If there wa. no lensing signa. in these distributions, it would give the upper limit of the a.unda.ce of infinite strings.

关键词： gra.ita.iona. lensing jets a.d outflows cosmic string ga.a.y

On spectrum of Hermitiza.le tridia.ona. ma.rices

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Frontiers of Ma.hema.ics in China 2020年第2期15卷 285-303页

作者： Mu-fa CHEN Resea.ch Institute of Ma.hema.ica. Science Jiangsu Normal UniversityXuzhou 221116China School of Ma.hema.ica. Sciences Beijing Normal UniversityLaboratory of Mathematics and Complex Systems(Beijing Normal University)Ministry of EducationBeijing 100875China

This pa.er is devoted to the study on the spectrum of Hermitiza.le tridia.ona. *** a. illustra.ion of the a.plica.ion of the a.thor’s recent results on Hermitiza.le ma.rices,a. explicit criterion for discrete spectrum of the ma.rices is presented,with a.slight a.d technica. *** problem is well known,but from the a.thor’s knowledge,it ha. been la.gely opened for quite a.long *** is importa.t in va.ious a.plica.ion,in qua.tum mecha.ics for *** ma.n tool to solve the problem is the isospectra. technique developed a.few yea.s *** a.terna.ive constructions of the isospectra. opera.or a.e presented;they a.e helpful in theoretica. a.a.ysis a.d in numerica. computa.ions,*** illustra.ed exa.ples a.e included.

关键词： Hermitiza.le birth-dea.h ma.rix isospectra. ma.rices discrete spectrum

Prolonga.ion structure for nonlinea. integra.le couplings of a.KdV soliton hiera.chy

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Chinese Physics B 2012年第11期21卷 18-23页

作者： Yu fa-Jun School of Ma.hema.ics a.d Systema.ic Sciences Shenyang Normal UniversityShenyang 110034China

In this pa.er, a.new nonlinea. integra.le coupling system of the soliton hiera.chy is presented. Prom the La. pa.rs, the coupled KdV equa.ions a.e constructed successfully. Ba.ed on the prolonga.ion method of Wa.lquis... 详细信息

关键词： nonlinea. integra.le coupling system prolonga.ion structure KdV soliton hiera.chy

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Fra.tiona. sum a.d fra.tiona. difference on non-uniform la.tices a.d a.a.ogue of Euler a.d Ca.chy Beta.formula.

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a.plied Ma.hema.ics(a.Journa. of Chinese Universities) 2021年第3期36卷 420-442页

作者： CHENG Jin-fa Depa.tment of Ma.hema.ics Xiamen UniversityXiamen 361005China

a. is well known,the definitions of fra.tiona. sum a.d fra.tiona. difference of f(z)on non-uniform la.tices x(z)=c1z^(2)+c2z+c3 or x(z)=c1q^(z)+c2q^(-z)+c3 a.e more difficult a.d *** this a.ticle,for the first time we propose the definitions of the fra.tiona. sum a.d fra.tiona. difference on non-uniform la.tices by two different *** a.a.ogue of Euler’s Beta.formula.Ca.chy’Beta.formula.on non-uniform la.tices a.e esta.lished,a.d some funda.enta. theorems of fra.tiona. ca.cula.,the solution of the genera.ized a.el equa.ion on non-uniform la.tices a.e obta.ned etc.

关键词： difference equa.ion of hypergeometric type non-uniform la.tice fra.tiona. sum fra.tiona. difference specia. functions Euler’s Beta.formula Ca.chy’Beta.formula