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Optimization of the imaginary time step evolution for the dirac equation

Science China(physics,Mechanics & Astronomy) 2011年第2期54卷 231-235页

作者： LI FangQiong1,ZHANG Ying2,LIANG HaoZhao2,3.& MENG Jie4,2,5 1Guizhou university for Nationalities,Guiyang 550025,China 2State Key Lab Nuclear physics & Technology,School of physics,Peking university,Beijing 100871,China 3.nstitut de Physique Nucle’aire,IN2P3.CNRS and Universite’ Paris-Sud,F-91406 Orsay Cedex,France 4School of physics and Nuclear Energy Engineering,Beihang university,Beijing 100191,China 5department of physics,university of stellenbosch,stellenbosch,south africa 1. Guizhou university for Nationalities Guiyang 550025 China2. State Key Lab Nuclear Physics & Technology School of Physics Peking University Beijing 100871 China3. Institut de Physique Nucléaire IN2P3-CNRS and Université Paris-Sud F-91406 Orsay Cedex France4. School of Physics and Nuclear Energy Engineering Beihang University Beijing 100191 China5. Department of Physics University of Stellenbosch Stellenbosch South Africa

Taking the single neutron levels of 12C in the Fermi sea as examples,the optimization of the imaginary time step(ITS) evolution with the box size and mesh size for the dirac equation is *** the weakly bound states,in order to reproduce the exact single-particle energies and wave functions,a relatively large box size is *** long as the exact results can be reproduced,the ITS evolution with a smaller box size converges faster,while for both the weakly and deeply bound states,the ITS evolutions are less sensitive to the mesh ***,one can find a parabola relationship between the mesh size and the corresponding critical time step,i.e.,the largest time step to guarantee the convergence,which suggests that the ITS evolution with a larger mesh size allows larger critical time step,and thus can converge faster to the exact *** conclusions are very helpful for optimizing the evolution procedure in the future self-consistent calculations.

关键词： dirac equation Schrdinger-like equation imaginary time step method convergence

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Statistical theory for hydrogen bonding fluid system of A_ad_d type (I): The geometrical phase transition

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Science China Chemistry 2006年第6期49卷 499-506页

作者： WANG Haijun1,2, HONG Xiaozhong3. GU Fang1 & BA Xinwu1 1. College of Chemistry and Environment Science, Hebei university, Baoding 071002, China 2. International Center for Materials physics, Chinese Academy of Sciences, Shenyang 110016, China 3. College of physics Science and Technology, Hebei university, Baoding 071002, China 1. College of Chemistry and Environment Science Hebei University Baoding 071002 China 2. International Center for Materials physics Chinese Academy of Sciences Shenyang 110016 China 3. College of physics Science and Technology Hebei University Baoding 071002 China

The influence of hydrogen bonds on the physical and chemical properties of hydrogen bonding fluid system of Aadd type is investigated from two viewpoints by the principle of statistical mechanics. In detail, we proposed two new ways that can be used to obtain the equilibrium size distribution of the hydrogen bonding clusters, and derived the analytical expression of a relationship between the hydrogen bonding free energy and hydrogen bonding degree. For the nonlinear hydrogen bonding systems, it is shown that the sol-gel phase transition can take place under proper conditions, which is further proven to be a kind of geometrical phase transition rather than a thermodynamic one. Moreover, several problems associated with the geometrical phase transition and liquid-solid phase transition in nonlinear hydrogen bonding systems are discussed.

关键词： hydrogen bonding fluid, equilibrium free energy, geometrical phase transition.

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Stationary Classical Chaos of Trapped Two-Component Bose-Einstein Condensates in 1-d Optical Lattice Potentials

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Communications in Theoretical physics 2007年第7期48卷 125-131页

作者： FANG Jian-Shu LIU Wing-Ki ZHU Shan-Hua1 Institute of physics,Hunan university of Technology,Zhuzhou 412008,China2 department of physics,Hunan Normal university,Changsha 410081,China3.department of physics,university of Waterloo,Waterloo,Ontario,Canada N2L 3.1 Institute of physics Hunan University of Technology Zhuzhou 412008 China

We study the nonlinear dynamics of two-component Bose-Einstein condensates in one-dimensional pe-riodic optical lattice *** stationary state perturbation solutions of the coupled two-component nonlinearSchr?dinger/Gross-Pitaevskii equations are constructed by using the direct perturbation *** analysisrevels that the perturbation solution is the chaotic one,which indicates the existence of chaos and chaotic region inparameter *** corresponding numerical calculation results agree well with the analytical *** applying thechaotic perturbation solution,we demonstrate the atomic spatial population and the energy distribution of the systemare chaotic generally.

关键词： stationary state classical chaos two-component Bose-Einstein condensates optical lattice potential

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新一轮家电“以旧换新”行动方案影响

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日用电器 2024年第3期 1-2页

作者： 1.华创证券 2.光大证券 3.中信期货华创证券光大证券中信期货

国务院印发《推动大规模设备更新和消费品以旧换新行动方案》（以下简称《行动方案》），明确了5方面20项重点任务和实施设备更新、消费品以旧换新、回收循环利用、标准提升四大行动，提出积极开展家电等消费品以旧换新。《行动方案》...

国务院印发《推动大规模设备更新和消费品以旧换新行动方案》（以下简称《行动方案》），明确了5方面20项重点任务和实施设备更新、消费品以旧换新、回收循环利用、标准提升四大行动，提出积极开展家电等消费品以旧换新。《行动方案》家电直接相关内容1.到2027年废旧家电回收量较2023.增长3.%,

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Statistical theory for hydrogen bonding fluid system of A_ad_d type(Ⅲ):Equation of state and fluctuations

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Science China Chemistry 2007年第2期50卷 183-189页

作者： WANG HaiJun1,2,GU Fang1,HONG XiaoZhong3.& BA XinWu1 1 College of Chemistry and Environment Science,Hebei university,Baoding 071002,China 2 International Center for Materials physics,Chinese Academy of Sciences,Shenyang 110016,China 3.College of physics Science and Technology,Hebei university,Baoding 071002,China College of Chemistry and Environment Science Hebei University Baoding China International Center for Materials physics Chinese Academy of Sciences Shenyang China College of physics Science and Technology Hebei University Baoding China

The equation of the state of the hydrogen bonding fluid system of Aadd type is studied by the principle of statistical mechanics. The influences of hydrogen bonds on the equation of state of the system are obtained based on the change in volume due to hydrogen bonds. Moreover,the number density fluc-tuations of both molecules and hydrogen bonds as well as their spatial correlation property are inves-tigated. Furthermore,an equation describing relation between the number density correlation function of "molecules-hydrogen bonds" and that of molecules and hydrogen bonds is derived. As application,taking the van der Waals hydrogen bonding fluid as an example,we considered the effect of hydrogen bonds on its relevant statistical properties.

关键词： hydrogen bonding fluid equation of state fluctuation correlation effect

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d-dimensional dirac Fermions BEC-BCS Crossover Thermodynamics

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Communications in Theoretical physics 2007年第7期48卷 99-106页

作者： CHEN Ji-Sheng Institute of Particle physics & physics department,Central China Normal university,Wuhan 43.079,China Institute of Particle physics Central China Normal University physics department Central China Normal University

An effective relativistic continuum massive Proca Lagrangian action is used to account for the Lorentzvector condensation effects on the equation of state of the strongly interacting fermions *** interior quantumfluctuation effects are incorporated as an external field approximation indirectly through a fictive generalized ThomsonProblem counterterm *** general analytical formulas for the d-dimensional thermodynamics are given nearthe unitary limit region,In the non-relativistic limit for d=3.the universal dimensionless coefficientε=4/9 andenergy gap △/ε_f=5/18 are reasonably consistent with the existing theoretical and experimental *** the unitarylimit for d=2 and T=0,the universal coefficient can even approach the extreme occasion ξ=0 corresponding to theinfinite effective fermion mass m~*=∞,which can be mapped to the strongly coupled two-dimensional electrons and isquite similar to the three-dimensional Bose-Einstein condensation of ideal boson ***,for d=1,the universalcoefficient ξ is negative,implying the non-existence of phase transition from superfluidity to normal *** solutionsmanifest the quantum Ising universal class characteristic of the strongly coupled unitary fermions gas.

关键词： unitary fermions thermodynamics BEC-BCS crossover statistical methods

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Experimental remolding on the caprock's 3. strain field of the Indosinian-Yanshanian epoch in Tongling deposit concentrating area

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Science China Earth Sciences 2005年第7期48卷 863-874页

作者： dENG Jun1,HUANG dinghua2,WANG Qingfei1,WAN Li1,SUN Zhongshi3.YANG Liqiang1 & GAO Bangfei1 1. State Key Laboratory of Geological Processes and Mineral Resources,China university of Geosciences,Beijing 100083.China 2. Faculty of Earth Sciences,China university of Geosciences,Wuhan 43.074,China 3. department of Earth Sciences,Jilin university,Changchun 13.061,China State Key Laboratory of Geological Processes and Mineral Resources China University of Geosciences Beijing 100083 China Faculty of Earth Sciences China University of Geosciences Wuhan 430074 China department of Earth Sciences Jilin University Changchun 130061 China

Based on field observations and rheology analysis, we perform one analogue experiment and remold the 3. structural frame of Tongling deposit concentrating area firstly. Then we disassemble and dialyze the 3. structures of the model using the methods of "slicing" and "stripping". A series of sliced planes vertical to the fold hinges show similar landscapes of that in the drill hole profiles. Meanwhile, layer stripping analysis indicates that the deformation features of each layer in the model are qualitatively analogical to those obtained from field observations. Through contrasting the 3. structure between the experimental model and the field phenomena, we verify the following 3. deformation features of the caprock in this area: (1) the Tongling area mainly consists of three series of NE S-typed fold groups; (2) in the uniform stress field, the incoherent folds universally develop in different positions, along different axes as well as in different strata; (3. the faults propagate upward which are mostly inter-bedded detachment faults, while the fold amplitudes decrease while going deeper; and (4) the folds and cleavages are highly developed in the Silurian System indicating that the deformation effect of the Indosin-ian-Yanshanian structural layer terminates at this layer, which suggests that the Silurian System is the crucial layer for the inversion between brittle and plastic deformation domains and the underlying strata are subject to the control of another deformation system with distinct properties.

关键词： Tongling deposit concentrating area Indosinian-Yanshanian epoch 3. structural frame of the caprock analogue experiment slicing and stripping analysis structural model.

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Characteristic atom arranging crystallogphy of alloy phases for Au-Cu system

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Science China(Technological Sciences) 2011年第6期54卷 1560-1567页

作者： XIE YouQing1,2,3.LIU XinBi1,2,3.PENG HongJian4,NIE YaoZhuang5,LI XiaoBo6 & LI YanFen1,2,3.1 School of Materials Science and Engineering,Central south university,Changsha 410083.China 2 Powder Metallurgy Research Institute,Central south university,Changsha 410083.China 3.State Key Laboratory of Powder Metallurgy,Central south university,Changsha 410083.China 4 School of Chemistry and Chemical Engineering,Central south university,Changsha 410083.China 5 School of Physical Science and Technique,Central south university,Changsha,410083.China 6 College of Mechanical Engineering,Xiangtan university,Xiangtan 411105,China 1. School of Materials Science and Engineering Central South University Changsha 410083 China2. Powder Metallurgy Research Institute Central South University Changsha 410083 China3. State Key Laboratory of Powder Metallurgy Central South University Changsha 410083 China4. School of Chemistry and Chemical Engineering Central South University Changsha 410083 China5. School of Physical Science and Technique Central South University Changsha 410083 China6. College of Mechanical Engineering Xiangtan University Xiangtan 411105 China

In this paper,it is pointed out that the descriptions of alloy phase structures are dependent on structural unit *** the systematic science of alloys(SSA),the alloy phase structures are described by means of the symmetry element sequence combining with characteristic atom *** is named the characteristic atom arranging structure,which can display the characteristic atoms at the lattice sites and the micro-inhomogeneity,besides the *** characteristic atom has its own characters:neighboring configuration,potential energy,volume and electronic *** micro-inhomogeneity of alloy phases can be described by concentrations and short-range ordered parameters of characteristic *** differences between the electronic structures of alloy phases and electronic structures of characteristic atoms in the alloy phases are also discussed.

关键词： systematic science of alloys Au-Cu system alloy phase structure micro-inhomogeneity

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Hydrogen sulfide ameliorates vascular calcification induced by vitamin d3.plus nicotine in rats

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Acta Pharmacologica Sinica 2006年第3期27卷 299-306页

作者： Sheng-ying WU~(2,6) Chun-shui PAN~3.Bin GENG~3.Jing ZHAO~3.Fang YU~3.Yong-zheng PANG~3.Chao-shu TANG~4 Yong-fen QI~(3.4,5) ~2Institute of Cardiovascular disease,Peking university First Hospital.Beijing 10003. ~3.epartment of Physiology and Pathophysiology,Peking university Health Science Center,Beijing 100083.China,~4Key Laboratory of Molecular Cardiovascular Science,Ministry of Education,Beijing 100083.China 2Institute of Cardiovascular disease Peking University First Hospital Beijing 100034 China 3.epartment of Physiology and Pathophysiology Peking University Health Science Center Beijing 100083 China 3.epartment of Physiology and Pathophysiology Peking University Health Science Center Beijing 100083 China 3.epartment of Physiology and Pathophysiology Peking University Health Science Center Beijing 100083 China 3.epartment of Physiology and Pathophysiology Peking University Health Science Center Beijing 100083 China 3.epartment of Physiology and Pathophysiology Peking University Health Science Center Beijing 100083 China 4Key Laboratory of Molecular Cardiovascular Science Ministry of Education Beijing 100083 China 4Key Laboratory of Molecular Cardiovascular Science Ministry of Education Beijing 100083 China

Aim:To investigate the role of the endogenous cystathionine γ-synthase(CSE)/hydrogen sulfide(H2S)pathway in vascular calcification in ***:A ratvascular calcification model was established by administration of vitamin d3.plusnicotine(VdN).The amount of CSE and osteopontin(OPN)mRNA was deter-mined by using semi-quantitative reverse-transcription polymerase chain *** calcium content,45Ca2+accumulation and alkaline phosphatase(ALP)activitywere measured.H,S production and CSE activity were ***:yonKossa staining produced strong positive black/brown staining in areas amongthe elastic fibers of the medial layer in the calcified *** calcium content,45Ca2+accumulation and ALP activity in calcified arteries increased by 6.77-,1.42-,and 1.87-fold,respectively,compared with *** expression of the OPNgene was upregulated(P5Ca2+uptake and ALP activity in the VdN plus NaHSgroup was lower than that in the VdN *** content of calcium and45Ca2+accumulation and activity of ALP in the aorta were 3..8%,40.75% and 63.5% lowerin the low-dosage NariS group than in the VdN group,respectively(Pdthe calcium content and deposition of45Ca2+and activity of ALP was 83.9%,3..8 % and 46.2% lower in the aorta in the high-dosage NariS group than in theVdN group,respectively(Pduction of H,S,and CSE activity were de-creased and CSE gene expression was downregulated in rats with vascularcalcification.H2S can ameliorate vascular calcification,suggesting that the H2S/CSE pathway plays a regulatory role in the pathogenesis of vascular calcification.

关键词： hydrogen sulfide cystathionine-lyase vascular calcification mRNA

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Spatial Carrier Bi-frequency Fourier Transform Profilometry for the 3.d Shape Measurement of Object with discontinuous Height Steps

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Chinese Journal of Lasers 2000年第2期9卷 121-127页

作者： ZHONG Jingang dI Hongwei ZHANG Yonglin (deportment of physics, Jinan university, Guangzhou 51063., China ) 济南大学广东广州

The combination of shearing interferometer, Fourier-transform profilometry, phase unwrapping by lockup table method has resulted in a new and more powerful method of measuring surface profile. The technique permits the three-dimensional shape measurement of objects that have discontinuous height steps. Experimental results have demonstrated the validity of the principle.

关键词： profilometry bi-frequency phase unwrapping discontinuous height step

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