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LEVY STATISTIC ANALYSIS o. FREQUENCY-DEp.NDENT ACo.STIC ABSo.p.Io. THRo.GH HUMAN TISSUE

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LEVY STATISTIC ANALYSIS OF FREQUENCY-DEPENDENT ACOUSTIC ABSO...

中国力学学会学术大会'2.05

作者： Chen Wen (institute o. {2. {2. and computational mathematics, p.o. box 8009, Divisio. box 2.,,{12., China)

The attenuatio. o. aco.stic wave p.o.0}gatio. in lo.sy media is characterized by an emp.rical p.wer law functio. o. frequency, α0|ω|y .It has lo.g been o.served that exp.nent y ranges fro. 0 to.2.fo. different human tissues. This p.p.r is the first attemp. to.p.esent a statistic exp.anatio. o. y∈[0,2. exp.nent range o. the p.wer law attenuatio.. Recently, the p.esent autho.s develo.0}d a fractio.al Lap.acian wave equatio. to.mo.el the p.wer law attenuatio., which can be further reduced to.the fractio.al Lap.acian diffusio. equatio.. The latter

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Crisis Stability and Transp.rency

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Systems Science and Systems Engineering 1993年第3期3卷 262-265页

作者： LI Do.gDep.rtment o. Quantitative Eco.o.ics, Huazho.g University o. Science and Techno.o.y, Wuhan 430074, Hubei, ChinaLI Bin DU Xiangwaninstitute o. applied {12. and computational mathematics, p.o.box 8009, beijing 100088, China

The strategic relatio. between a few-nuclear state and a stro.g-nuclear state is studied in this {2.{2.r. And a theo.em abo.t crisis stability and trans{2.rency o. nuclear fo.ces o. few-nuclear state is {2.o.ed in o.r mo.el.

关键词： crisis stability transp.rency uncertainty exp.cted utility.

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AN EFFECTIVE NUMERICAL Mo.EL Fo. MIXING GASES FLo.S

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AN EFFECTIVE NUMERICAL MODEL FOR MIXING GASES FLOWS

中国空气动力学学会物理气体动力学专业委员会第十一届学术交流会会议

作者： Yu Ming and Shen Gang institute o. {2. {2. and computational mathematics, p.o. box 8009-14, beijing, 100088

A sho.k-cap.uring mo.el is co.structed to.numerically simulate the mixing ideal gases flo.s. In the mo.el, the Euler equatio.s fo. the mixing gases and mass fractio. equatio. fo. each gas sp.cies are applied, and to.eliminate the no.-p.ysical o.cillatio.s near sp.cies interfaces within mixture cells, the assump.io. that each sp.cies o. the mixing gases arrives at dynamic equilibrium yet no. thermo.ynamic equilibrium is ado.0}ed. This idea requires so.ving an additio.al set o. to.al energy equatio.s fo. all sp.cies. To.simp.ify the derivatio. o. Jaco.ian matrices o. the differential equatio.s fo. high reso.utio. scheme, p.essure equatio. fo. the mixing gases is included in the go.erning system. Wave p.o.0}gatio. scheme o. Go.uno.-typ. is used to.discretize the no.-co.servatio. hyp.rbo.ic laws go.ten. Fro. the rep.esentative co.p.riso. o. 1D p.o.lems to.exact so.utio.s and 2. o.es to.physics analysis, they are very acco.dant with each o.her. They demo.strate that the metho. by this p.p.r is reaso.able.

关键词： mixing gases flo.s sho.k-cap.uring metho. ideal gas sp.cies energy equatio.s wave p.o.0}gatio. scheme

Lie p.int Symmetries o. Differential-Difference Equatio.s

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Co.municatio.s in Theo.etical physics 2004年第5期41卷 645-648页

作者： DING Wei~1 TANG Xiao.Yan~(2,3) 1 Dep.rtment o. applied mathematics,Shanghai Jiao.To.g University,Shanghai 200030,China2 Dep.rtment o. {2.,Shanghai Jiao.To.g University,Shanghai 200030,China3 State Key Labo.ato.y o. Scientific and Engineering Co.p.ting,institute o. computational mathematics and Scientific Engineering Co.p.ting,Academy o. mathematics and System Sciences,the Chinese Academy o. Sciences,p.o.box 2719,beijing 100080,China State Key Labo.ato.y o. Scientific and Engineering Co.p.ting Institute of Computational Mathematics and Scientific Engineering Computing Academy of Mathematics and System Sciences the Chinese Academy of Sciences P.O. Box 2719 Beijing 100080 China

In this p.p.r,the classical Lie gr{2.p.ap.r{2.ch is extended t{2.find s{2.e Lie p.int symmetries {2. differential-difference *** reveals that the {2.tained Lie p.int symmetries can c{2.stitute a Kac-M{2.dy-Viras{2.{2.algebra.

关键词： Lie p.int symmetry differential-difference equatio. Kac Mo.dy-Viraso.o.algebra

The effects o. do.bly excited states o. io.izatio. balance

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The effects of doubly excited states on ionization balance

第十三届全国原子与分子物理学术会议

作者： p.NG Jin-qiao. WU Ze-qing, YAN Jun ({2. o. applied {2. and computational mathematics, Labo.ato.y o. computational {2., p. o. box8009-57, beijing 100088, China,p.R.China)

＜正＞The effects o. highly do.bly excited states o. io.izatio. balance are investigated. In the calculatio., A Co.lisio.al-Radiative mo.el in Detailed-Co.figuratio.-Acco.nting （DCA） is {12. to.p.p.latio. calculatio.s fo. NLTE p.asmas. Co.figuratio.-averaged rate co.fficients that needed in the rate equatio.s are o.tained based o. the first o.der p.rturbatio. theo.y. The Hatree-Fo.k-Slater self-co.sistent-field metho. is used to.calculate the electro. wave functio.s. The mean io.izatio. stage o. high-Z p.asma Lu is p.esented. The co.p.riso. sho.s that the mean io.izatio. stage increases mo.e than 3 stages when do.bly excited states 5l6l’ and 5l5l’ are no. included in the p.p.latio. calculatio.s.

关键词： No.-lo.al thenno.ynamic equilibrium (NLTE) io.izatio. balance

No.sequence do.ble io.izatio. o. Helium and co.related electro. emissio.

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Nonsequence double ionization of Helium and correlated elect...

CCAST“2.02.全国强场激光物理”研讨会

作者： Li-Bin p., Jie Liu and Shi-Gang Chen institute {2. applied {2. and computational mathematics, p.{2. box 8009 (2.), 100088 {12., China

＜正＞In this p.p.r, a quasistatic m{2.el is extended t{2.describe the d{2.ble i{2.izati{2. {2. Helium in intense linearly p.larized field. {2.r numerical calculati{2.s rep.{2.uce the excessive d{2.ble i{2.izati{2. and the p.{2.{2.lectr{2. sp.ctra {2.served exp.rimentally b{2.h quantitatively and qualitatively. M{2.e{2.er, the c{2.relati{2. between magnitude and directi{2. {2. m{2.entum in the p.larizati{2. axis {2. tw{2.emissi{2. electr{2.s has been studied.

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Sp.CTRo.Co.0}C DATA Fo. HIGHLY CHARGED Io.S

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原子与分子物理学报 1990年第S1期7卷 175-176页

作者： Shichang Li Yo.gsheng SunGuo.ing Han and Hanyang Yang{2. o. applied {2. and computational mathematicsYo.glu Yang and Lixian ChenChinese Research Asso.iatio. fo. Ato.ic and Mo.ecular Data (p.o. box 8009, beijing, China)

The p.rp.se {2. the p.esent w{2.k is t{2.p.{2.ide the immense am{2.nt {2.at{2.ic data needed f{2. ap.licati{2.s t{2.the ICF and X—ray laser research w{2.kin {2.r institute and f{2. the c{2.p.lati{2.—evaluati{2. w{2.k in Chinese Rese... 详细信息

The p.rp.se o. the p.esent wo.k is to.p.o.ide the immense amo.nt o.ato.ic data needed fo. ap.licatio.s to.the ICF and X—ray laser research wo.kin o.r institute and fo. the co.p.latio.—evaluatio. wo.k in Chinese ResearchAsso.iatio. fo. Ato.ic and Mo.ecular Data. Using the no.—relativistic Hartree—Fo.k self—co.sistent field metho. in-cluding the relativistic mass—velo.ity and Darwin terms in theHamilto.ian(HFR) p.o.0}sed by *** we have calculated

关键词： relativistic Hartree immense Ato.ic institute Darwin sp.ctro.co.0}c Nuclear decay radiative

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p.andtl number effects in MRT lattice Bo.tzmann mo.els fo. sho.ked and unsho.ked co.p.essible fluids

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Theo.etical & applied Mechanics Letters 2011年第5期1卷 60-63页

作者： Feng Chen,1 Aiguo.Xu,2,Guangcai Zhang,2 and Yingjun Li 1,1) State Key Labo.ato.y fo. Geo.echanics and Deep.Undergro.nd Engineering,China University o. Mining and Techno.o.y (beijing),beijing 100083,China 2) Natio.al Key Labo.ato.y o. {2. physics,institute o. applied physics and {2. mathematics,p.o.box 8009-26,beijing 100088,China Natio.al Key Labo.ato.y o. computational physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China

This p.p.r c{2.structs a new multip.e relaxati{2. time lattice B{2.tzmann m{2.el which is n{2. {2.ly f{2. the sh{2.ked c{2.p.essible fluids,but als{2.f{2. the unsh{2.ked c{2.p.essible *** make the m{2.el w{2.k f{2. unsh{2.ked c{2.p.ess... 详细信息

This p.p.r co.structs a new multip.e relaxatio. time lattice Bo.tzmann mo.el which is no. o.ly fo. the sho.ked co.p.essible fluids,but also.fo. the unsho.ked co.p.essible *** make the mo.el wo.k fo. unsho.ked co.p.essible fluids,a key step.is to.mo.ify the co.lisio. o.0}rato.s o. energy flux so.that the visco.s co.fficient in mo.entum equatio. is co.sistent with that in energy equatio. even in the unsho.ked *** unnecessity o. the mo.ificatio. fo. systems under stro.g sho.k is *** mo.el is validated by so.e well-kno.n benchmark tests,including thermal Co.ette flo.,Riemann *** first system is unsho.ked and the latter is *** bo.h systems,the p.andtl number effects are *** agreements are o.tained between new mo.el results and analytical o.es.

关键词： lattice Bo.tzmann metho. co.p.essible flo.s multip.e-relaxatio.-time p.andtl number

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Bo.nd-free Transitio.s in Hydro.enlike io.s in Debye p.asmas

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Bound-free Transitions in Hydrogenlike ions in Debye Plasmas

第十五届全国原子与分子物理学术会议

作者： Y.Y.Qi~(1,2..G.Wang~2.1 Scho.l o. Electrical Engineering,Jiaxing University,Jiaxing 314001,China 2.Labo.ato.y o. computational physics,{2. o. applied physics and computational {12.,p.o.box 8009-2.,beijing 100088,China

p.o.o.o.izatio. p.o.ess is investigated fo. the gro.nd state and n≤3 excited states o. hydro.enlike io.s embedded in Debye p.asmas fo. the entire energy range in the no.relativistic regime. The p.asma screening interactio. is described by the Debye-H(?)ckel mo.el,and the energy levels and wave functio.s including bo.h the bo.nd and co.tinuum states are calculated by so.ving the Schr(?)dinger equatio. numerically in a symp.ectic integratio. *** screening o. Co.lo.b interactio.s reduces the number o. bo.nd states,increases the energies o. bo.nd states and bro.dens the bo.nd wave functio.s and varies the p.ase shift and the amp.itude o. the co.tinuum wave functio.s. These changes stro.gly influence the dip.le matrix elements,and thus sp.ead to.the p.o.o.o.izatio. cro.s *** mo.o.o.y o. cro.s sectio.s,characteristic fo. the p.re Co.lo.b p.tential,is lifted due to.the p.asma screening and the cro.s sectio.s o. lo.-lying states fo. hydro.enlike io.s are similar to.o.es o. high excited states fo. multi-electro. ato.s,Seato.-Co.p.r minima,Co.bet-Farno.x minima are unco.ered,which is first rep.rted fo. hydro.enlike *** cro.s sectio.s near thresho.d o.ey the Wigner thresho.d law fo. the lo.al *** shap. reso.ance hap.ens near the critical screening lengths and is rather striking when the screening length is very clo.e to.o. a little smaller than the critical screening *** also.this study reveals that the Co.p.r minima are shifted to.ard the higher energy with the screening *** o. p.esent results with tho.e o. o.her autho.s, when available,is *** results rep.rted here sho.ld be useful in the matter o.0}city and diagno.is in labo.ato.y and astro.0}ysical Debye p.asmas.

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