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Nonlinear elastic waves in a monatomic chain with nonlinear interaction

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原子与分子物理学报 2002年第1期19卷 79-82页

作者： PAN Liu-xian 1, ZHOU Guang-hui 2. LI Shu-shen 3(1.department of physics, Yiyang Teacher's {2., Yiyang 413049 2. department of physics, Hunan normal University, Changsha 410081 3. National Laboratory for Supperlattice and Microstructure, Chinese department of physics Yiyang Teacher's College Yiyang 413049 department of physics Hunan Normal University Changsha 410081 中科院半导体所 National Laboratory for Supperlattice and Microstructure 北京 100083

Nonlinear wave equation for a one-dimensional anharmonic crystal lattice in terms of its microscopic parameters is obtained by means of a continuum approximation. Using a small time scale transformation, the nonlinear wave equation is reduced to a combined KdV equation and its single soliton solution yields the supersonic kink form of nonlinear elastic waves for the system.

关键词： Monatomic chain Continuum approximation Nonlinear elastic wave

A new definition of restricted Lie superalgebras

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Chinese Science Bulletin 2000年第4期45卷 316-321页

作者： WANG Ying & ZHANG Yongzheng1. department of Mathematics, Harbin Institute Technology, Harbin 150001, China 2. department of Mathematics, Northeast {2. University, Changchun 13002., China department of Mathematics Harbin Institute Technology Harbin China department of Mathematics Northeast Normal University Changchun China

A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.

关键词： restricted Lie superalgebra p-mapping p-semilinear mapping α-representation.

ASYMPTOTIC BEHAVIOR OF THE DRIFT-DIFFUSION SEMICONDUCTOR EQUATIONS

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Acta Mathematica Scientia 2004年第3期24卷 385-394页

作者：郭秀兰李开泰 department of Mathematics Luoyang Normal College Luoyang 471022 China Faculty of Science Xi'an Jiaotong University Xi'an 710049 Chinahis paper is devoted to the long time behavior for the Drift-diffusion semiconductor equations. It is proved that the dynamical system has a compact connected and maximal attractor when the mobilities are constants and generation-recombination term is the Auger model as well as the semigroup S(t) denned by the solutions map is differential. Moreover the upper bound of Hausdorff dimension for the attractor is given.

This paper is devoted to the long time behavior for the Drift-diffusion semiconductor equations. It is proved that the dynamical system has a compact, connected and maximal attractor when the mobilities are constants and generation-recombination term is the Auger model; as well as the semigroup S(t) denned by the solutions map is differential. Moreover the upper bound of Hausdorff dimension for the attractor is given.

关键词： Drift-diffusion model auger term attractor Housdorff dimensions

Complex variable method for plane elasticity of icosahedral quasicrystals and elliptic notch problem

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Science China(physics,Mechanics & Astronomy) 2008年第7期51卷 773-780页

作者： LI LianHe1,2.& FAN TianYou1 1 department of physics, Beijing Institute of Technology, Beijing 100081, China 2.{2. of Mathematics Science, Inner Mongolia normal University, Hohhot 01002., China department of physics Beijing Institute of Technology Beijing China college of Mathematics Science Inner Mongolia Normal University Hohhot China

The complex variable method for the plane elasticity theory of icosahedral quasicrystals is developed. Based on the general solution obtained previously, complex representations of stress and displacement components of phonon and phason fields in the quasicrystals are given. With the help of conformal transformation, an analytic solution for the elliptic notch problem of the material is presented. The solution of the Griffith crack problem can be observed as a special case of the results. The stress intensity factor and energy release rate of the crack are also obtained.

关键词： icosahedral quasicrystals plane elasticity elliptic notch complex variable method

Different-Periodic Travelling Wave Solutions for Nonlinear Equations

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Communications in Theoretical physics 2004年第4期41卷 481-486页

作者： YE Li-Jun~1 LIN Ji~(1,2.1 department of physics,Zhejiang {2. University,Jinhua 32.004,China2.physics department,Shanghai Jiao Tong University,Shanghai 2.0030,China department of physics Zhejiang Normal University Jinhua 321004 China physics department Shanghai Jiao Tong University Shanghai 200030 China

Using Jacobi elliptic function linear superposition approach for the(1+1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera(CDGSK)equation and the(2.1)-dimensional Nizhnik-Novikov-Veselov(NNV)equation,many new periodic travelling wave solutions with different periods and velocities are obtained based on the knownperiodic *** procedure is crucially dependent on a sequence of cyclic identities involving Jacobi ellipticfunctions sn(ξ,m),cn(ξ,m),and dn(ξ,m).

关键词： linear superposition nonlinear equation travelling wave solution

Lepton flavor violating Z-boson decays at GigaZ as a probe of supersymmetry

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Science China(physics,Mechanics & Astronomy) 2010年第11期53卷 1949-1952页

作者： YANG JinMin 1,2.1 department of physics,Henan {2. University,Xinxiang 453007,China 2.Institute of Theoretical physics,Chinese Academy of Sciences,Beijing 100190,China department of physics Henan Normal University Xinxiang China Institute of Theoretical physics Chinese Academy of Sciences Beijing China

This paper briefly reviews the lepton flavor violating Z-decays at GigaZ as a probe of supersymmetry by focusing on Z → i j in two representative supersymmetric models: the minimal supersymmetric model without R-parity and the supersymmetric seesaw *** work concludes that under the current experimental constraints from LEP and i → j γ,these rare decays can still be enhanced to reach the sensitivity of the ***,supersymmetry can be probed via these decays at GigaZ.

关键词： Z-decay GigaZ supersymmetry

Optimal reactions for the synthesis of superheavy nucleus ^(2.0)Hs

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Science China(physics,Mechanics & Astronomy) 2006年第6期49卷 641-648页

作者： LIU Zuhua1,3 & BAO Jingdong1,2.1. Key Laboratory of Beam Technology and Material Modification of Ministry of Education, Beijing normal University, Beijing 100875, China 2. physics {2., Beijing normal University, Beijing 100875, China 3. China Institute of Atomic Energy, Beijing 102.13, China Key Laboratory of Beam Technology and Material Modification of Ministry of Education Beijing Normal University Beijing China China Institute of Atomic Energy Beijing China physics department Beijing Normal University Beijing China

The superheavy nucleus 2.0Hs is expected to be a “double-magic” deformed nucleus. We have calculated its cross sections of evaporation residue for the reactions 2.8Cm(2.Mg,4n)2.0Hs, 2.4Pu(30Si,4n)2.0Hs, 2.8U(36S,4n)2.0Hs and 2.6Ra(48Ca,4n)2.0Hs using a two-parameter Smoluchowski equation. It is found from our results that 2.6Ra(48Ca,4n)2.0Hs and 2.8U(36S,4n)2.0Hs are two optimal reactions for the synthesis of the superheavy nucleus 2.0Hs due to their large negative Q-values.

关键词： diffused fusion barrier,Smoluchowski equation,superheavy nuclei.

Modelling Accelerating Growth with Intermittent Processes in Evolving Networks

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Communications in Theoretical physics 2007年第12期48卷 1119-1122页

作者： YUAN Wu-Jie~(1,2.and LUO Xiao-Shu~1~1 college of physics and Electronic Engineering,Guangxi {2. University,Guilin 541004,China~2.department of physics,Huaibei Coal Industry Teachers college,Huaibei 2.5000,China college of physics and Electronic Engineering Guangxi Normal University Guilin 541004 China department of physics Huaibei Coal Industry Teachers College Huaibei 235000 China

In this paper,the acceleratingly growing network model with intermittent processes is *** thegrowing network,there exist both accelerating and intermittent *** network is grown from the number ofnodes mo and the number of links added with each new node is a nonlinearly increasing function m+aNβ（t）f（t）,whereN（t） is the number of nodes present at time t.f（t） is the periodic and bistable function with period T,whose values are1 and 0 indicating accelerating and intermittent processes,*** we denote the ratio r of acceleration timeto whole *** study the degree distribution p（k） of the model,focusing on the dependence of p（k） on the networkparameters τ,T,m,α,N,and β.It is found that there exists a phase transition point,kc such that if kc,then p（k）obeys a power-law distribution with exponent -γ1,while if k>kc,then p（k） exhibits a power-law distribution withexponent-γ2./sub>.Moreover,the exponents γ1 and γ2./sub> are independent of τ,T,m,a,and N,while they depend only onthe parameter β.More interesting,the phase transition point is described by kc=aNβ,which is equal to the value atwhich p（k） is maximum in GM model.

关键词： acceleratingly growing network intermittent process power-law distribution

Weighted composition operators between μ-Bloch spaces on the unit ball

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Science China Mathematics 2005年第10期48卷 1349-1368页

作者： ZHANG Xuejun~1 & XIAO Jianbin~2.1. college of Mathematics and Computer Science,Hunan normal University,Changsha 410006,China(email:xuejunttt@2.3. net) 2. The School of Science,Hangzhou Dianzi University,Hangzhou 310037,China college of Mathematics and Computer Science Hunan Normal University Changsha China The School of Science Hangzhou Dianzi University Hangzhou China

In this paper,necessary and sufficient conditions are given for the weighted composition operator T_(ψ,ψ) to be bounded or compact from the space β_μ to β_ν (or β_(μ,0) to β_(ν,0) ) on the unit ball of C^***... 详细信息

关键词： μ-Bloch space, weighted composition operator, boundedness, compactness.