密度依赖的结团模型研究原子核的α衰变和结团放射性

讨论了原子核α衰变和结团放射性的一个新的结团模型:密度依赖的结团模型（DDCM）。DDCM基于微观真实的核势和库仑势,可以在统一的框架下计算原子核的各种衰变模式的半衰期。通过对原子核α衰变和结团放射性的系统计算,发现DDCM能够精确给出原子核α衰变和结团放射性的半衰期,理论值和实验值的偏差一般在3倍以内。这表明密度依赖的结团模型具有很好的适用性并可以为将来的实验提供较准确的预言。We have discussed a new cluster model of α-decay and cluster radioactivity: the density-dependent cluster model （DDCM）, which is based on the microscopic nuclear potential and Coulomb potential. DDCM can give accurate theoretical half-lives for various decays of nuclei in a unified framework. Through a systematical calculation of half-lives of α-decay and cluster radioactivity, we find that the deviation between DDCM and experiment is usually less than a factor of 3. This good agreement shows that the density-dependent cluster model can further provide reliable predictions for future experiments.     

Robust H_∞ cluster synchronization analysis of Lurie dynamical networks

The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with exter- nal disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H∞ performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchro- nized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.     

铅以上核结团放射性再研究(英文)

在密度依赖的结团模型下重新研究了铅以上原子核的结团放射性。根据由核电荷半径以及中子皮厚度的实验数据所提炼的子核和结团密度分布，通过双折叠模型得到了关键的结团-核芯作用势。然后结合库仑波函数边界条件求解了结团-子核相对运动的薛定谔方程，以得到衰变宽度。和我们以往没有考虑子核和结团密度具体分布的计算结果相比，现在得到的结团放射性衰变宽度明显增大。另外，随着结团中心越来越高的密度压低，衰变宽度的计算值会减小。We revisit the cluster emission from trans-lead nuclei within the density dependent cluster model. According to the refined density distribution of daughter and cluster via the available experimental data on nuclear charge radii and neutron skin thickness, the crucial cluster-core potential is constructed by the double-folding model. Then the Schrödinger equation of the cluster-core relative motion is solved along the outgoing Coulomb wave function boundary condition to obtain the decay width. The present decay width of cluster radioactivity is clearly augmented as compared to our previous results without the specific concern of the density distribution of daughter and cluster. Moreover, the computed decay width reduces along with the increasingly depressed density in the cluster center.     

表面催化反应模型中关联噪声诱导非平衡相变

建立含有关联噪声的双分子-单分子(DM)表面催化反应延迟反馈模型,该模型能同时显示一级和二级非平衡动力学相变,即在一级和二级非平衡动力学相变之间的反应窗口展现.讨论双分子在DM延迟反馈模型中两种吸附机制,即局域和随机吸附模型.研究结果表明:1)外部噪声及两噪声关联性致使反应窗口的宽度收缩;2)内部噪声对非平衡动力学相变行为的影响依赖两噪声关联性,即当两噪声负关联,内部噪声致使反应窗口的宽度变宽;而当两噪声正关联时,内部噪声致使反应窗口的宽度收缩;3)关联噪声致使反应窗口变化对DM模型中一级和二级非平衡动力学相变研究具有重要的科学意义.     

60A GeV16O诱发乳胶核反应慢粒子产生研究

对60AGeV ¹⁶O诱发乳胶核反应靶核碎片多重数分布及其关联进行了实验研究,并与FRITOF1.7加级联机制模型和DTUNUC 2.0模型计算结果进行了比较.     

高能P■碰撞末态粒子的结团产生和前后关联

本工作在三火球模型的基础上引进结团（ｃｌｕｓｔｅｒ）机制对多种窗口的前后关联进行ＭｏｎｔｅＣａｒｌｏ模拟．与＝２００，５４６，９００ＧｅＶ的实验数据的符合表明了模型的合理性．同时从理论上说明了ｃｌｕｓｔｅｒ机制对多重数关联的影响表现为短程加强，长程减弱。     

Mobility limited by cluster scattering in ternary alloy quantum wires

The mobility limited by cluster scattering in ternary alloy semiconductor quantum wire(QWR) is theoretically investigated under Born approximation. We calculate the screened mobility due to clusters(high indium composition InGaN) scattering in the InxGa1 xN QWR structure. The characteristics of the cluster scattering mechanism are discussed in terms of the indium composition of clusters, the one-dimensional electron gas(1DEG) concentration, and the radius of QWR. We find that the density, breadth of cluster, and the correlation length have a strong effect on the electron mobility due to cluster scattering. Finally, a comparison of the cluster scattering is made with the alloy-disorder scattering. It is found that the cluster scattering acts as a significant scattering event to impact the resultant electron mobility in ternary alloy QWR.     

First-principles influence of study of GaTAs7 multi-charge on ionic cluster and its structure

This paper investigates the structures and stabilities of neutral GaTAs7 cluster and its ions in detail by using first-principles density functional theory. Many low energy structures of GaTAs7 cluster are found. It confirms that the ground state structure of neutral GaTAs7 cluster is a pentagonal prism with four face atoms like a basket structure, as reported by previous works. The ground state structures of positive Ga7As7 cluster ions are different from that of the neutral cluster. These investigations suggest that Ga atoms occupy the capping positions more easily than As atoms. Mulliken population analyses also show that Ga atoms can lose or obtain charge more easily than As atoms. It finds that the neutral GaTAs7 cluster can become more stable by gaining one or two additional electrons but further more electrons would cause the decrease of binding energy. The ionisation energy increases with the increase of the number of the removed electrons. These calculated results indicate that the net magnetic moment of the neutral GaTAs7 cluster is zero because all electrons axe paired together in their respective moleculax orbits. But for the ionic GaTAs7 cluster with odd number of electrons, the net magnetic moment is 1.0 μB due to an unpaired electron.     

Localized States of an Excess Electron in an Ionic Cluster

A theory of an electron affinity for an ionic cluster is proposed both in a quasiclassical approach and with quantization of a polarization electric field in a nanopartiele. A critical size of the cluster regarding in formation of an electron＇s autolocalized state, dependencies of energy and radius of a polaron on a cluster＇s size are obtained by a variational method. It has been found that binding energy of the electron in the cluster depends on a eluster＇s radius but a radius of electron＇s auto-localization does not depend on the cluster＇s radius and it equals to the polaron radius in a corresponding infinity crystal. A bound state of the electron in a cluster is possible only if the duster＇s radius is more than the polaron radius.     

Interaction of a bubble and a bubble cluster in an ultrasonic field

Using an appropriate approximation, we have formulated the interacting equation of multi-bubble motion for a system of a single bubble and a spherical bubble cluster. The behavior of the bubbles is observed in coupled and uncoupled states. The oscillation of bubbles inside the cluster is in a coupled state. The numerical simulation demonstrates that the secondary Bjerknes force can be influenced by the number density, initial radius, distance, driving frequency, and amplitude of ultrasound. However, if a bubble approaches a bubble cluster of the same initial radii, coupled oscillation would be induced and a repulsive force is evoked, which may be the reason why the bubble cluster can exist steadily. With the increment of the number density of the bubble cluster, a secondary Bjerknes force acting on the bubbles inside the cluster decreases due to the strong suppression of the coupled bubbles. It is shown that there may be an optimal number density for a bubble cluster which can generate an optimal cavitation effect in liquid for a stable driving ultrasound.     

Deuterium cluster jet produced at moderate backing pressures

A deuterium cluster jet produced in the supersonic expansion into vacuum of deuterium gas at liquid nitrogen temperature and moderate backing pressures are studied by Rayleigh scattering techniques. The experimental results show that deuterium clusters can be created at moderate gas backing pressures ranging from 8 to 23 bar, and a maximum average cluster size of 350 atoms per cluster is estimated. The temporal evolution of the cluster jet generated at the backing pressure of 20 bar demonstrates a two-plateau structure. The possible mechanism responsible for this structure is discussed. The former plateau with higher average atom and cluster densities is more suitable for the general laser-cluster interaction experiments.     

Mobility of large clusters on a semiconductor surface:Kinetic Monte Carlo simulation results

The mobility of clusters on a semiconductor surface for various values of cluster size is studied as a function of temperature by kinetic Monte Carlo method. The cluster resides on the surface of a square grid. Kinetic processes such as the diffusion of single particles on the surface, their attachment and detachment to/from clusters, diffusion of particles along cluster edges are considered. The clusters considered in this study consist of 150–6000 atoms per cluster on average.A statistical probability of motion to each direction is assigned to each particle where a particle with four nearest neighbors is assumed to be immobile. The mobility of a cluster is found from the root mean square displacement of the center of mass of the cluster as a function of time. It is found that the diffusion coefficient of clusters goes as D = A(T)Nαwhere N is the average number of particles in the cluster, A(T) is a temperature-dependent constant and α is a parameter with a value of about-0.64 α -0.75. The value of α is found to be independent of cluster sizes and temperature values(170–220 K)considered in this study. As the diffusion along the perimeter of the cluster becomes prohibitive, the exponent approaches a value of-0.5. The diffusion coefficient is found to change by one order of magnitude as a function of cluster size.     

First-principles study of Ga7As7 ionic cluster and influence of multi-charge on its structure

This paper investigates the structures and stabilities of neutral Ga7As7 cluster and its ions in detail by using first-principles density functional theory. Many low energy structures of Ga7As7 cluster are found. It confirms that the ground state structure of neutral Ga7As7 cluster is a pentagonal prism with four face atoms like a basket structure, as reported by previous works. The ground state structures of positive Ga7As7 cluster ions are different from that of the neutral cluster. These investigations suggest that Ga atoms occupy the capping positions more easily than As atoms. Mulliken population analyses also show that Ga atoms can lose or obtain charge more easily than As atoms. It finds that the neutral Ga7As7 cluster can become more stable by gaining one or two additional electrons but further more electrons would cause the decrease of binding energy. The ionisation energy increases with the increase of the number of the removed electrons. These calculated results indicate that the net magnetic moment of the neutral Ga7As7 cluster is zero because all electrons are paired together in their respective molecular orbits. But for the ionic Ga7As7 cluster with odd number of electrons, the net magnetic moment is 1.0 μB due to an unpaired electron.     

Deuterium cluster jet produced at moderate backing pressures

A deuterium cluster jet produced in the supersonic expansion into vacuum of deuterium gas at liquid nitrogen temperature and moderate backing pressures are studied by Rayleigh scattering techniques. The experimental results show that deuterium clusters can be created at moderate gas backing pressures ranging from 8 to 23 bar, and a maximum average cluster size of 350 atoms per cluster is estimated. The temporal evolution of the cluster jet generated at the backing pressure of 20 bar demonstrates a two-plateau structure. The possible mechanism responsible for this structure is discussed. The former plateau with higher average atom and cluster densities is more suitable for the general laser-cluster interaction experiments.     

Critical behavior of a dynamical percolation model

The critical behavior of the dynamical percolation model,which realizes the molecular-aggregation conception and describes the crossover between the hadronic phase and the partonic phase,is studied in detail. The critical percolation distance for this model is obtained by using the probability P∞ of the appearance of an infinite cluster. Utilizing the finite-size scaling method the critical exponents γ/ν and τ are extracted from the distribution of the average cluster size and cluster number density. The influences of two model related factors,i.e. the maximum bond number and the definition of the infinite cluster,on the critical behavior are found to be small.     

分子双电离对激光偏振性的依赖关系

利用经典系综模型研究了氢分子双电离对激光场椭圆率的依赖性.研究发现,氢分子双电离机制对激光的椭偏性有强烈的依赖关系.随着激光场椭圆率的增加,双电离机制由非次序双电离转变为次序双电离.在大椭圆率情况的次序双电离中,电子关联动量分布随椭圆率的灵敏变化显示了电子出射时间对椭圆率的强烈依赖关系.     

Cluster dynamics modeling of niobium and titanium carbide precipitates inα-Fe andγ-Fe

Kinetic behaviors of niobium and titanium carbide precipitates in iron are simulated with cluster dynamics.The simulations,carried out in austenite and ferrite for niobium carbides,and in austenite for titanium carbide,are analyzed for dependences on temperature,solute concentration,and initial cluster distribution.The results are presented for different temperatures and solute concentrations,compared to experimental data available.They show little impact of initial cluster distribution beyond a certain relaxation time and that highly dilute alloys with monomers only present a significantly different behavior from denser alloys or ones with different initial cluster distributions.     

强激光场中氘团簇双重膨胀引发核聚变

在超强fs激光与氘团簇的相互作用中, 分析了可以引发核聚变的高能氘核产生的原因,提出了团簇双重膨胀的机制,计算了氘核动能及团簇解体的时间, 为选取合适的激光脉冲宽度参数提供参考. Considering the Coulomb explosion induced by the interaction of a deuterium cluster target with ultra intensity femtosecond laser,the causation which generate energetic deuterium nuclei for the fusion has been analyzed. The mechanism for the dual explosion of deuterium cluster is proposed, and hence the velocity of deuterium nuclei and the expansion time of deuterium ion clusters have been estimated.     

Preparation of the four-qubit cluster states in cavity QED and the trapped-ion system

This paper proposes a simple scheme to generate a four-atom entangled cluster state in cavity quantum electrodynamics. With the assistantce of a strong classical field the cavity is only virtually excited and no quantum information will be transferred from the atoms to the cavity during the preparation for a four-atom entangled cluster state, and thus the scheme is insensitive to the cavity field states and cavity decay. Assuming that deviation of laser intensity is 0.01 and that of simultaneity for the interaction is 0.01, it shows that the fidelity of the resulting four-atom entangled cluster state is about 0.9886. The scheme can also be used to generate a four-ion entangled cluster state in a hot trapped-ion system. Assuming that deviation of laser intensity is 0.01, it shows that the fidelity of the resulting four-ion entangled cluster state is about 0.9990. Experimental feasibility for achieving this scheme is also discussed.     

原子核放射性对核对称能的约束（英文）

核对称能的密度依赖性对于原子核物理和天体物理中的许多问题很重要。基于密度依赖的结团模型,奇特的结团放射性被用来约束核对称能及其斜率的大小。在密度依赖的结团模型中,清楚地给出了结团放射性子核208Pb的中子皮大小与对称能的斜率参数L（ρ0） 之间的关联。发现从M3Y核子-核子相互作用得到的结团-208Pb 同位旋矢量势对于对称能的斜率参数L（ρ0） 非常重要。基于结团放射性实验数据和新的208Pb 的中子皮大小实验数据,成功得到对称能的斜率参数L（ρ0） 的大小。也讨论了利用质子放射性数据提取的斜率参数L（ρ0）。The density-dependence of symmetry energy is of particular importance to many problems in nuclear physics and astrophysics. Exotic cluster radioactivity is proposed to constrain the density slope of symmetry energy L(ρ0) by using the density-dependent cluster model (DDCM) where the cluster radioactivity serves as a link between the neutron skin thickness of 208Pb and the density slope L(ρ0). The isovector part of cluster-208Pb potential constructed from the M3Y nucleon-nucleon interaction is found to be very important in determining the density slope parameter L(ρ0). The correlation between the neutron skin thickness of 208Pb and the density slope parameter are obtained from cluster radioactivities around 208Pb with measured data. The constraint of L(ρ0) from proton radioactivity is also discussed.