锂-亚硫酰氯电池储存寿命研究

锂-亚硫酰氯电池作为一种免维护、高比能、长储存寿命电池,目前已经在以国防领域为代表的国民经济中得到了广泛应用;其储存寿命的考核在行业内尚属难题;通过广泛、深入地调研和对前期锂-亚硫酰氯电池储存数据的收集整理,研究了锂-亚硫酰氯电池的储存寿命影响因素及其试验评估方法;通过研究得知,锂-亚硫酰氯电池的储存寿命试验应尽早备样,若时间紧迫可通过加速试验方法;提出了通过等效储存试验时间来评估电池储存寿命及其可靠度的方法,指出当等效储存试验时间不足时,应安排样本进行容量回归分析,得出其退化规律;此外,还要对电池储存末期热性能进行分析;在以上工作基础上对电池储存寿命进行综合评估;最后,通过案例分析,进行了工程演算;为后续锂-亚硫酰氯电池储存寿命评估提供了参考。     

耦合的AKNS-Kaup-Newell孤子方程族的一类可积扩展模型

基于Lie圈代数?1的子代数建立了一个等谱问题，导出了耦合的AKNS- Kaup- Newell孤子方程族。另外，利用扩展相应Lie代数于?2的方法，建立了该方程族的可积扩展模型，即可积耦合。     

静电分析器非线性轨迹的Lie代数分析

介绍了Lie代数的方法，用Lie代数方法分析了静电分析器对束流传输过程的非线性影响，其计算结果分析到三级近似. 首先给出了静电分析器的哈密顿函数，然后将哈密顿函数展开为齐次多项式的和，再求Lie映射，最后得到粒子轨迹各级近似解.     

对巧克力相变迟滞现象的理论解释——朗道-德冯谢亚理论以及铁电相变理论

巧克力作为生活中常见的事物，其储存方法一直是食品科学界研究的重要课题，而由相变产生的巧克力凝固和融化等现象对巧克力的储存产生了决定性的影响；但由于巧克力的成分复杂且晶体结构多变，目前只在生活中实现了控制巧克力保持良好性状的储存，而鲜少有研究分析其背后存在的相变机理。研究中首先基于朗道-德冯谢亚理论，使用序参量描述了影响相变的相关因素，初步解释了巧克力相变当中存在的迟滞现象；而后进行了相关实验，提出了一种对朗道理论的修正来解释实验现象；最后，通过研究巧克力的主要成分可可脂晶体的铁电相变，对德冯谢亚理论中未作出解释的势垒产生做出了阐述。     

空气热储存、光合作用和土壤垂直水分运动对黄土高原地表能量平衡的影响

地表能量不平衡问题一直是陆面过程研究的一个重要科学难题. 本文利用黄土高原陆面过程试验(LOPEX)资料, 在将垂直感热平流项引入地表能量平衡方程的基础上, 估算了空气热储存和光合作用储存的大小, 并分别用水分守恒关系和两层土壤温度方法计算了浅层土壤水分垂直通量, 考察了空气热储存、光合作用储存和水分垂直运动热量输送对地表能量平衡的影响.结果表明: 黄土高原区自然植被下垫面的空气热储存、光合作用储存和土壤水分垂直运动热量输送平均日变化峰值分别达到1.5, 2.0和7.9 W·m^-2; 在能量平衡方程中引入这三项后, 地表能量闭合度由88.1%提高到89.6%. 空气热储存、光合作用储存和水分垂直运动热量输送对于改善黄土高原地表能量不平衡状况有一定作用, 研究区域的半干旱气候背景和植被状况是导致各热储存量与其他试验区存在差异的根本原因.     

国外低温液体无损储存的研究进展

无损储存过程是低温液体储运过程中的一个重要问题,国外从20世纪50年代就已经开始了低温液体无损储存的研究。综述了国外低温液体无损储存的实验及理论研究,对研究对象、新提出的观点、采用的模型和得到的重要结论进行了总结。并对未来低温液体储存研究的发展方向进行了展望。     

低温储罐自增压特性的实验研究

LNG是一种易燃易爆的低温气体,通常采用无损储存。由于外界漏热,储罐内压力会不断上升,此升压速率对无损储存的安全有着重要的影响。文中建立了低温储罐自增压以及温度分层实验装置,对罐内的温度分层及此时的升压过程进行了实验研究。     

束内散射效应下HALF储存环物理参数的优化设计

合肥先进光源（HALF）是我国规划建设的软X射线与VUV衍射极限储存环光源（DLSR）。如何有效地实现衍射极限束流发射度,是DLSR物理设计中的核心问题之一。基于束流发射度演化方程,针对HALF预研项目的储存环物理设计方案,计算了束内散射（IBS）效应带来的发射度增长,研究了DLSR中关键参数选择对IBS造成的发射度增长的影响。研究表明,在中低能DLSR物理设计中需要综合考虑储存环的周长、同步辐射阻尼时间等关键参数,以更好地抑制束流发射度的增长。在此研究基础上,通过综合考虑用户需求与储存环物理要求,提出了HALF当前工程项目的储存环物理设计方案。进一步综合应用束团拉伸、全耦合等措施后,更高效地抑制了HALF储存环内IBS造成的束流发射度增长。     

电子储存环中离子俘获不稳定性的强-强模型模拟

 电子储存环中,由于被束流势阱俘获的离子会引起束流不稳定性。研究这种不稳定性的产生机制和抑制方法对提高机器的性能有重要理论和现实意义。介绍了用强-强模型对合肥光源（HLS）电子储存环中离子俘获不稳定性产生机制进行的模拟研究。模拟结果可用于理解在合肥光源（HLS）储存环上观察到的离子俘获现象。     

tune调制对储存环横向稳定性影响的模拟研究

对包含非线性六极场储存环的线性tune(Qx,Qy)加以余弦调制,通过计算粒子轨道沿相角畸变的动力学孔径,研究了tune调制对储存环中粒子运动横向稳定性的影响.从模拟结果可以看出,tune调制对粒子稳定性的影响是一种长期效应.当调制振幅很小、调制tune远离共振岛tune值时,对粒子稳定性的影响很小,随着调制振幅增大,调制tune接近共振岛tune,影响越来越明显.     

Dynamical algebras in classical mechanics

For a spectrum-generating algebra of classical observables, it is proven that the phase space dynamics simplifies to a Hamiltonian system on submanifolds of the algebra's dual. These submanifolds are coadjoint orbits if the algebra arises from a symplectic group action. If the Hamiltonian splits into the sum of a function of the algebra generators plus a commuting part, then the dynamics transfers to the dual space and an explicit formula is given for the flow vector field on the coadjoint orbits. A unique feature of the presentation is that all constructions are at the Lie algebra level.     

Symmetries of some classes of dynamical systems

In this paper a three-dimensional system with five parameters is considered. For some particular values of these parameters, one finds known dynamical systems. The purpose of this work is to study some symmetries of the considered system, such as Lie-point symmetries, conformal symmetries, master symmetries and variational symmetries. In order to present these symmetries we give constants of motion. Using Lie group theory, Hamiltonian and bi-Hamiltonian structures are given. Also, symplectic realizations of Hamiltonian structures are presented. We have generalized some known results and we have established other new results. Our unitary presentation allows the study of these classes of dynamical systems from other points of view, e.g. stability problems, existence of periodic orbits, homoclinic and heteroclinic orbits.     

Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems

This paper focuses on studying Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems. Firstly, the discrete generalized Hamiltonian canonical equations and discrete energy equation of nonholonomic Hamiltonian systems are derived from discrete Hamiltonian action. Secondly, the determining equations and structure equation of Lie symmetry of the system are obtained. Thirdly, the Lie theorems and the conservation quantities are given for the discrete nonholonomic Hamiltonian systems. Finally, an example is discussed to illustrate the application of the results.     

Noether conserved quantities and Lie point symmetries for difference nonholonomic Hamiltonian systems in irregular lattices

The Noether conserved quantities and the Lie point symmetries for difference nonholonomic Hamiltonian systems in irregular lattices are studied. The generalized Hamiltonian equations of the systems are given on the basis of the transformation operators in the space of discrete Hamiltonians. The Lie transformations acting on the lattice, as well as the equations and the determining equations of the Lie symmetries are obtained for the nonholonomic Hamiltonian systems. The discrete analogue of the Noether conserved quantity is constructed by using the Lie point symmetries. An example is discussed to illustrate the results.     

A generalization of Hamiltonian mechanics

For a symplectic manifold the Poisson bracket on the space of functions is (uniquely) extended to a graded Lie bracket on the space of differential forms modulo exact forms. A large portion of the Hamiltonian formalism is still working.     

Lie symmetries and non-Noether conserved quantities for Hamiltonian canonical equations

This paper focuses on studying Lie symmetries and non-Noether conserved quantities of Hamiltonian dynamical systems in phase space. Based on the infinitesimal transformations with respect to the generalized coordinates and generalized momenta, we obtain the determining equations and structure equation of the Lie symmetry for Hamiltonian dynamical systems. This work extends the research of non-Noether conserved quantity for Hamilton canonical equations, and leads directly to a new type of non-Noether conserved quantities of the systems. Finally, an example is given to illustrate these results.     

Lie Algebras Associated with Group U(n)

Starting from the subgroups of the group U(n), the corresponding Lie algebras of the Lie algebra A1 are presented, from which two well-known simple equivalent matrix Lie algebras are given. It follows that a few expanding Lie algebras are obtained by enlarging matrices. Some of them can be devoted to producing double integrable couplings of the soliton hierarchies of nonlinear evolution equations. Others can be used to generate integrable couplings involving more potential functions. The above Lie algebras are classified into two types. Only one type can generate the integrable couplings, whose Hamiltonian structure could be obtained by use of the quadratic-form identity. In addition, one condition on searching for integrable couplings is improved such that more useful Lie algebras are enlightened to engender. Then two explicit examples are shown to illustrate the applications of the Lie algebras. Finally, with the help of closed cycling operation relations, another way of producing higher-dimensional Lie algebras is given.     

Lie algebraic approach of a charged particle in presence of a constant magnetic field via the quadratic invariant

In this paper we consider the problem of a charged harmonic oscillator under the influence of a constant magnetic field. The system is assumed to be isotropic and the magnetic field is applied along the z-axis. The canonical transformation is invoked to remove the interaction term and the system is reduced to a model containing the second harmonic generation. Two classes of the real and complex quadratic invariants (constants of motion) are obtained. We have employed the Lie algebraic technique to find the most general solution for the wave function for both real and complex invariants. Some discussions related to the advantage of using the quadratic invariants to solve the Cauchy problem instead of the direct use of the Hamiltonian itself are also given.     

Lie Algebras Associated with Group U（n）

Starting from the subgroups of the group U（n）, the corresponding Lie algebras of the Lie algebra Al are presented, from which two well-known simple equivalent matrix Lie algebras are given. It follows that a few expanding Lie algebras are obtained by enlarging matrices. Some of them can be devoted to producing double integrable couplings of the soliton hierarchies of nonlinear evolution equations. Others can be used to generate integrable couplings involving more potential functions. The above Lie algebras are classified into two types. Only one type can generate the integrable couplings, whose Hamiltonian structure could be obtained by use of the quadratic-form identity. In addition, one condition on searching for integrable couplings is improved such that more useful Lie algebras are enlightened to engender. Then two explicit examples are shown to illustrate the applications of the Lie algebras. Finally, with the help of closed cycling operation relations, another way of producing higher-dimensional Lie algebras is given.