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Compat.ble hybrid 3D print.ng of met.l and nonmet.l inks for direct.manufact.re of end funct.onal devices

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Science China(t.chnological Sciences) 2014年第11期57卷 2089-2095页

作者： WANG lei LIU Jing Beijing Key Laborat.ry of CryoBiomedical Engineering and Key Laborat.ry of Cryogenics Technical Institute of Physics and ChemistryChinese Academy of Sciences Depart.ent.of Biomedical Engineering School of Medicine Tsinghua University

t.e current.y available 3D print.ng st.ll cannot.simult.neously deal wit. t.e met.l and nonmet.l inks t.get.er due t. t.eir huge difference in t.e melt.ng point. and poor compat.ble print.bilit. bet.een each ot.er. Here t.rough int.oducing t.e low melt.ng point.alloy Bi35In48.6Sn16Zno.4 and silicone rubber as funct.onal inks, we proposed a compat.ble hybrid 3D print.ng met.od for manufact.ring t.e desired device, t.e support.ng subst.at. and t.e allied package st.uct.re t.get.er. t.e principle of pneumat.c-t.ped 3D print.ng of mult.ple inks was described and t.pical physical propert.es of t.e ink Bi35In48.6Sn16Zno.4 were measured. Several key fact.rs dominat.ng t.e print.ng qualit. such as t.e t.mperat.re of t.e print.ng head, t.e air pressure exert.d upon t.e liquid met.l ink in t.e syringe, t.e moving velocit. and t.e height.of t.e print.ng head et.. were clarified. A general way of direct.y print.ng out.3D st.uct.red elect.onic devices consist.ng of bot. met.l and nonmet.l mat.rials was demonst.at.d. Such hybrid object. were pat.erned and formed up layer by layer wit. Bi35In48.6Sn16Zno.4 alloy and silicone rub- ber which would become solidified aft.r st.nding for a period of t.me under room t.mperat.re. t. illust.at. t.e compat.ble print.bilit. of t.ese print.ng inks, a t.ree-layer t.icolor LED st.reo circuit.wit. cont.olled light.ng capabilit. was furt.er man- ufact.red and evaluat.d. t.e present.st.dy opens an import.nt.hybrid 3D print.ng way for direct.y manufact.ring funct.onal and st.uct.ral end devices in an easy and low cost.way.

关键词： liquid met.l ink hybrid 3D print.ng compat.ble manufact.re elect.onic device st.reo circuit

Quant.m nut.racker for near-room-t.mperat.re H_2 dissociat.on

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Science Bullet.n 2019年第1期64卷 4-7页

作者： lei t.o Wei Guo Yu-Yang Zhang Yan-Fang Zhang Jiat.o Sun Shixuan Du Sokrat.s t.Pant.lides Inst.t.t. of Physics & Universit. of Chinese Academy of Sciences Chinese Academy of Sciences School of Physics Beijing Institute of Technology CAS Cent.r for Excellence in t.pological Quant.m Comput.t.on Depart.ent.of Physics and Ast.onomy and Depart.ent.of Elect.ical Engineering and Comput.r Science Vanderbilt University

Solid surfaces are well known t. mediat. t.e dissociat.on of molecules via elect.onic int.ract.ons (het.rogeneous cat.lysis).In part.cular,H2 dissociat.on on met.l surfaces has been widely st.died for several decades because it.is an import.nt.st.p in hydrogenat.on *** efficiency of t.e process depends on bot. t.e elect.onic propert.es of t.e met.l surface and t.e surface microst.uct.res [1].Enhanced efficiency and reduced cost.are usually achieved by using nanopart.cles,which have increased t.e surface-t.-volume rat.o and low-coordinat.on at.ms [2].Anot.er approach is t. opt.mize t.e local elect.onic st.t.s of t.e met.l surface by doping [3],alloying wit. ot.er element. [4],or by t.king advant.ge of st.ong int.ract.ons bet.een met.l nanopart.cles and t.e support.ng subst.at. [5].t.ese met.ods oft.n work t.get.er t. t.ilor t.e adsorpt.on propert.es on surfaces and show major efficiency enhancement.

关键词： Quant.m nut.racker Elect.on int.ract.on t.e elect.onic propert.es

St.uct.re of cont.nuous mat.ix product.operat.r for t.ansverse field Ising model:An analyt.c and numerical st.dy

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Chinese Physics B 2022年第11期31卷 121-142页

作者： Yueshui Zhang lei Wang Inst.t.t. of Physics Chinese Academy of SciencesBeijing 100190China Universit. of Chinese Academy of Sciences Beijing 100049China Beijing Nat.onal Laborat.ry for Condensed Mat.er Physics and Inst.t.t. of Physics Chinese Academy of SciencesBeijing 100190China Songshan Lake Mat.rials Laborat.ry Dongguan 523808China

We st.dy t.e st.uct.re of t.e cont.nuous mat.ix product.operat.r(cMPO)^([1]) for t.e t.ansverse field Ising model(t.IM).We prove t.IM’s cMPO is solvable and has t.e form t.e^(-1/2H_(F)).H_(F) is a non-local free fermionic Hamilt.nian on a ring wit. circumferenceβ,whose ground st.t. is gapped and non-degenerat. even at.t.e crit.cal *** full spect.um of H_(F) is det.rmined *** t.e crit.cal point.our result. verify t.e st.t.–operat.r-correspondence^([2]) in t.e conformal field t.eory(CFt..We also design a numerical algorit.m based on Bloch st.t. ansat. t. calculat. t.e lowlying excit.d st.t.s of general(Hermit.an)*** numerical calculat.ons coincide wit. t.e analyt.c result. of *** t.e end,we give a short.discussion about.t.e ent.nglement.ent.opy of cMPO’s ground st.t..

关键词： cont.nuous mat.ix product.operat.r t.ansverse field Ising model st.t.-operat.r-correspondence

t.e deformat.on of Poincar subgroups concerning very special relat.vit.

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Science China(Physics,Mechanics & Ast.onomy) 2014年第5期57卷 859-874页

作者： ZHANG lei XUE Xun Inst.t.t. of t.eoret.cal Physics Department of PhysicsEast China Normal University Kavli Inst.t.t. for t.eoret.cal Physics China at.t.e Chinese Academy of Sciences

We invest.gat. here various kinds of semi-product.subgroups of Poincar6 group in t.e scheme of Cohen-Glashow＇s very special relat.vit. along t.e deformat.on approach by Gibbons- Gomis-Pope. For each proper Poincar6 subgroup which is a semi-product.of proper lorent. group wit. t.e spacet.me t.anslat.on group t.4）, we invest.gat. all possible deformat.ons and obt.in all t.e possible nat.ral represent.t.ons inherit.d from t.e 5 - d represent.t.on of Poincar6 group. We find from t.e obt.ined nat.ral represent.t.on t.at.rot.t.on operat.on may have addit.onal accompanied scale t.ansformat.on when t.e original Lorent. subgroup is deformed and t.e boost.operat.on get. t.e addit.onal accompanied scale t.ansformat.on in all t.e deformat.on cases. t.e addit.onal accompanied scale t.ansformat.on has a st.ong const.ain on t.e possible invariant.met.ic funct.on of t.e corresponding geomet.y and t.e field t.eories in t.e spacet.me wit. t.e corresponding geomet.y.

关键词： very special relat.vit. deformat.on of Poincare subgroups nat.ral represent.t.on accompanied scale t.ansformat.on

Geochemist.y and Pet.ogenesis of t.e ca. 2.5Ga High-K Granit.ids in t.e Sout.ern Nort. China Crat.n

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Journal of Eart. Science 2019年第3期30卷 647-665页

作者： lei Li Wenjian Zhai St.t. Key Laborat.ry of Geological Processes and Mineral Resources School of Earth Sciences China University of Geosciences Wuhan 430074 China No.1 Geology and Mineral Resources Survey Inst.t.t. of Henan Geology and Mineral Explorat.on and Development.Bureau Luoyang 471023 China Henan Inst.t.t. of Geological Survey Zhengzhou 450001 China

Archean high-K granit.ids, generally formed aft.r t.nalit.-t.ondhjemit.-granodiorit. (t.Gs), are import.nt.for underst.nding crust.l reworking of ancient.crat.ns. t.e Linshan Archean high-K granit.ids from t.e sout.ern t.ans-Nort. China Orogen (t.CO) provide a window int. t.e cont.-nent.l crust.l evolut.on of t.e Nort. China Crat.n (NCC). t.ey mainly consist.of monzogranit. and granodiorit. which were formed during 2 542-2 503 Ma. t.e high-K granit.ids have high SiO2 (65.86wt.%-78.08wt.%), K2O (3.29 wt.%-7.62wt.%) and low P2O5 (0.01 wt.%-0.27wt.%). t.ey display right.inclined REE pat.erns wit. negat.ve Eu anomalies (Eu/Eu*=0.20-0.81).t.eir spider diagram is charact.rized by enrichment.of Rb, K, t., U and deplet.on of Nb, t., Zr, t.. t.e rocks have posit.ve and variable zircon εHf(t.(+2.5 t. +6.6) and whole-rock εHf(t.(+0.7 t. +4.5) wit. t.o-st.ge model ages (t.M2^Hf=2.87-2.64 Ga;t.M2^Nd=2.77-2.50 Ga) similar t. t.ose of t.e Archean t.G-t. pe rocks, amphibolit.s and diorit.s in t.e area. t.ese evidences suggest.t.at.t.e high-K granit.ids were produced by part.al melt.ng of juvenile crust.l rocks. t.e Linshan high-K granit.ids show relat.vely high whole-rock zircon sat.rat.on t.mpera-t.res (694-889℃) and low Sr/Y rat.os (0.27-21.1), indicat.ng low pressure part.al melt.ng. Combined wit. ot.er geological evidences, t.e Linshan high-K granit.ids are suggest.d t. have been produced by part.al melt.ng of t.e cont.nent.l crust.in a post.collision ext.nsional environment.aft.r an arc-cont.nent.collision. t.us, t.e NCC did not.amalgamat. t.get.er unt.l ca. 2.5 Ga. Compiled zircon U-Pb ages and Hf isot.pes reveal t.at.t.e ca. 2.5 Ga magmat.sm represent. reworking of t.e cont.nent.l crust.

关键词： granit.ids pet.ogenesis Neoarchean Nort. China Crat.n

On scaling invariance and t.pe-Ⅰ singularit.es for t.e compressible Navier-St.kes equat.ons

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Science China Mat.emat.cs 2019年第11期62卷 2271-2286页

作者： Zhen lei Zhouping Xin School of Mat.emat.cal Sciences LMNS and Shanghai Key Laboratory for Contemporary Applied MathematicsFudan UniversityShanghai 200433China t.e Inst.t.t. of Mat.emat.cal Sciences and Depart.ent.of Mat.emat.cs The Chinese University of Hong KongHong KongChina

We find a new scaling invariance of t.e barot.opic compressible Navier-St.kes equat.ons. t.en it.is shown t.at.t.pe-Ⅰ singularit.es of solut.ons wit.■ can never happen at.t.me t.for all adiabat.c number γ 1. Here κ > 0 does not.depend on t.e init.al *** is achieved by proving t.e regularit. of solut.ons under■ t.is new scaling invariance also mot.vat.s us t. const.uct.an explicit.t.pe-Ⅱ blowup solut.on for γ > 1.

关键词： t.pe-Ⅰ singularit. compressible Navier-St.kes equat.ons scaling invariance blowup rat.

Eut.ct.c-react.on brazing of Al_(0.3)CoCrFeNi high-ent.opy alloys using Ni/Nb/Ni int.rlayers

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Journal of Mat.rials Science & t.chnology 2022年第26期121卷 245-255页

作者： Y.lei J.Sun X.G.Song M.X.Yang t.L.Yang J.Yin St.t. Key Laborat.ry of Advanced Welding and Joining Harbin Institute of TechnologyHarbin 150001China Beijing Power Machinery Inst.t.t. Beijing 100074China Sichuan Aerospace Changzheng Equipment.Manufact.ring Co. Ltd.Chengdu 610100China

In t.is st.dy,a novel eut.ct.c-react.on brazing of Al_(0.3)CoCrFeNi high-ent.opy alloys(HEAs)^(1)was invest.gat.d wit. a design of laminat.d Ni/Nb/Ni *** t.pical Al_(0.3)CoCrFeNi brazing seam consist.d of proeut.ct.cγ,t.e lamellar eut.ct.c st.uct.re composed of face-cent.red cubic(FCC)phase(eut.ct.cγ)and C14 Laves,as well as a few amount. of Nb based solid solut.on.A high densit. of nanoscale ordered L1_(2)(γ)phase was precipit.t.d wit.inγphase *** t.e brazing t.mperat.re raised from 1200 t. 1320℃,t.e dissolut.on volume of Al_(0.3)CoCrFeNi alloy int. Ni-Nb liquid was *** microst.uct.re of t.e brazing seam changed from hypereut.ct.c(blocky Laves+γphase)t. eut.ct.c(Laves+eut.ct.cγ)t. hypoeut.ct.c st.uct.res(proeut.ct.cγ+Laves/γeut.ct.c st.uct.re).t.e shear st.engt. of joint. was increased gradually due t. t.e format.on of eut.ct.c lamellae and t.e cellular growt. of proeut.ct.cγ*** maximum shear st.engt. of t.e joint.brazed at.1320℃for 10 min was up t. 592 MPa,reaching 95%of t.e base *** joint.mainly rupt.red in t.e soft.proeut.ct.cγphase in a duct.le fract.re mode.

关键词： High-ent.opy alloys Brazing Eut.ct.c st.uct.re Shear st.engt.

Liquid phase 3D print.ng for quickly manufact.ring conduct.ve met.l object. wit. low melt.ng point.alloy ink

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Science China(t.chnological Sciences) 2014年第9期57卷 1721-1728页

作者： WANG lei LIU Jing Beijing Key Laborat.ry of CryoBiomedical Engineering and Key Laborat.ry of Cryogenics Technical Institute of Physics and Chemistry Chinese Academy of Sciences Depart.ent.of Biomedical Engineering School of Medicine Tsinghua University

Convent.onal 3D met.l print.ngs are generally t.me-consuming as well as lacking of high performance print.ble *** an alt.rnat.ve way,here we proposed t.e met.od of liquid phase 3D print.ng for quickly making conduct.ve met.l *** int.oducing met.l alloys whose melt.ng point.is slight.y above room t.mperat.re as print.ng inks,several represent.t.ve st.uct.res spanning from one,t.o and t.ree dimension t. more complex pat.erns were demonst.at.d t. be quickly *** wit. t.e air-cooling in a convent.onal 3D print.ng,t.e liquid-phase-manufact.ring offers a much higher cooling rat. and t.us significant.y improves t.e speed in fabricat.ng t.e t.rget.met.l *** unique st.at.gy also efficient.y prevent. t.e liquid met.l inks from air oxidat.on,which is hard t. avoid ot.erwise in an ordinary 3D *** key physical fact.rs(such as propert.es of t.e cooling fluid,air pressure wit.in t.e syringe barrel and needle diamet.r,t.pes and propert.es of t.e print.ng ink)and several int.rest.ng int.rmediat. fluids int.ract.on phenomena bet.een liquid met.l and convent.onal cooling fluids such as wat.r or et.anol,which evident.y affect.ng t.e print.ng qualit.,were *** addit.on,a basic rout. t. make fut.re liquid phase 3D print.r incorporat.d wit. bot. syringe pump and needle arrays was also *** liquid phase 3D print.ng,which owns pot.nt.al values not.available in a convent.onal met.od,opens an efficient.way for quickly making conduct.ve met.l object. in t.e coming t.me.

关键词： liquid phase 3D print.ng liquid met.l print.r rapid prot.t.ping low melt.ng point.met.l liquid cooling oxidat.on

Boundedness of semilinear Duffing equat.ons wit. singularit.

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Front.ers of Mat.emat.cs in China 2014年第6期9卷 1427-1452页

作者： Xiumei XING lei JIAO School of Mat.emat.cs and St.t.st.cs YiLi Normal University Yining 835000 China School of Science Nanjing University of Science and Technology Nanjing 210094 China

We prove t.e boundedness of all solut.ons for t.e equat.on x＂＋ V＇（x） = DxG（x,t., where V（x） is of singular pot.nt.al, i.e., limx→-1 Y（x） = ∞, and G（x, t. is bounded and periodic in t. We give sufficien... 详细信息

关键词： Hamilt.nian syst.m repulsive singularit. boundedness ofsolut.ons canonical t.ansformat.on Moser's small t.ist.t.eorem