Finite temperature Cornwall-Jackiw-Tomboulis formalism of Φ6 theory

The finite temperature effective potential for a scalar field with Φ⁶ interaction is calculated by extending the CJT formalism for composite operators. It is found that unrenormalized terms appear in the effective potential due to the presence of an unrenormalized mass term. Nonzero turning points are obtained both for positive and negativeλ. High temperature expansion is performed and the results are analysed numerically. Graphical analysis indicates symmetry restoration whenT→0.     

Small-Mass Behavior of Quantum Gibbs States for Lattice Models with Unbounded Spins

We construct the distribution of the infinite-dimensional Markov process associated with a finite-temperature Gibbs state for a quantum mechanical anharmonic crystal. The corresponding state is constructed via a cluster expansion technique for an arbitrary fixed temperature and, correspondingly, small enough masses of particles.     

Quantum Phase Transitions in Anisotropic Spin Ladders with Antiferromagnetic Rungs

We apply perturbation theory to study quantum phase transitions in anisotropic two-leg spin ladders with antiferromagnetic rungs in the strong interchain coupling limit. The energy gap is expanded up to the fourth order in the ratio of the intrachain to interchain couplings. The transition point is determined by examing the disappearance of the energy gap. Present results for the anisotropic ferromagnetic-leg spin ladder are consistent qualitatively with the nonlinear σ-model analysis and in good agreement with the numerical results by the diagonalization method.     

AlH_2 ( ~2 A_1)体系的结构与势能函数

在QCISD/6311 (3df,3pd)水平上,优化出AlH2(X2A1)分子稳定构型为C2v,其平衡核间距Re=1.592、∠HAlH=118.68°,同时也计算出振动频率。在此基础上,根据微观可逆性原则,正确地判断了离解极限。使用多体项展式理论方法,导出了基态AlH2分子的分析势能函数,该势能表面准确地再现了AlH2(C2v)平衡结构,然后根据势能函数等值图讨论了H AlH反应和Al H2反应的势能面静态特征。结果表明在H AlH及Al H2两个通道上均存在鞍点,垒高前者为0.61eV,后者为3.28eV。     

The Molecular Structure and Potential Energy Function for Ne-HF System

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Analysis of thermal expansion coefficients under the effect of high temperature for minerals

A simple and straightforward method for the determination of thermal expansion is investigated and applied for four minerals of geophysical importance. The results obtained for four minerals such as Mg₂SiO₃, Al₂O₃, Grossular garnet and Pyrope garnet at different temperatures are found to be in excellent agreement with the experimental data. The simplicity of the method is discussed in the light of another method in high temperature research on minerals.     

BRS Cohomology and the Chern Character in Noncommutative Geometry

We briefly report on new results concerning a perturbation expansion structure within the framework of an analytic version of perturbative quantum chromodynamics (pQCD). This approach combines the RG symmetry with the Källén–Lehmann analyticity in the Q² variable. The procedure of analytization matches this analyticity with the RG invariance by adding to the analytized invariant coupling some nonperturbative contributions containing no adjustable parameters. In turn, the new perturbative expansion (the APT expansion) for an observable represents asymptotic expansion over a nonpower set of specific functions rather than in powers of . We analyze this set and show that it obeys different properties in various ranges of the Q² variable. In the UV, it is close to the power set used in the pQCD calculation. However, generally, this set is of a more complicated nature. In the low Q² region the behavior of is oscillating. Here, the APT expansion has a feature of asymptotic expansion à la Erdélyi. The issue of the consistency of an analytization procedure with the RG structure of observables is also discussed.     

再入过载的匹配渐进展开分析与卸载方法研究

探月飞船返回地球时将以第二宇宙速度再入地球大气层,面临极其严苛的气动环境,因此对于再入气动过载的分析具有重要意义.再入运动方程是一组非线性很强的常微分方程,数值方法计算量大,不适用于在线任务.因此,本文采用一种近似解法对气动过载进行分析.首先,基于匹配渐进展开方法将再入纵向运动解在大气外层区域与内层区域分别展开,得到统一形式的闭型近似解,在此基础上分段求解气动过载,并与精确解进行对比分析.其次,利用闭型近似解,通过当前状态反解虚拟初始条件,在此基础上提出初次过载峰值的解析预测方法,并分析了不同条件下预测的相对误差变化规律.最后,基于过载峰值的解析预测对飞船的初次再入过程进行卸载,将飞船在再入过程中耗散的总能量进行重新分配,并通过蒙特卡罗飞行仿真试验验证了卸载方法的有效性.     

电子膨胀阀对电动汽车空调系统的调节特性研究

电子膨胀阀是电动汽车空调系统的主要调控部件,探究其调节特性对于制定系统控制策略具有重要意义.本文搭建了以R134a为制冷剂的电动汽车空调系统实验台,研究了电子膨胀阀调节过程中,空调系统内制冷剂流量和压力的动态变化规律,分析了不同压缩机转速下,阀开度对系统制冷量、空调箱出风温度、压缩机功耗和系统COP等性能参数的影响.结果表明：阀前制冷剂相态是影响电子膨胀阀调节时系统压力变化强弱的重要因素.在阀前制冷剂为过冷液态时,调节阀开度对系统压力影响更大,并且在阀前制冷剂具有较大过冷度(大于10℃)时,下调阀开度会导致短时间的过节流造成系统压力大幅波动;系统中制冷剂循环流量与阀开度呈线性变化趋势,不受阀前制冷剂相态的影响.在实验工况下,100%阀开度对应的制冷剂循环流量为97.2～115.5 kg/h,阀开度每下调10%,系统中制冷剂循环流量下降6%～9%.     

Near-zero thermal expansion in β-CuZnV2O7 in a large temperature range

We report a new type of near-zero thermal expansion material β-CuZnV₂O₇ in a large temperature range from 173 K to 673 K. It belongs to a monoclinic structure (C2/c space group) in the whole temperature range. No structural phase transition is observed at atmospheric pressure based on the x-ray diffraction and Raman experiment. The high-pressure Raman experiment demonstrates that two structural phase transitions exist at 0.94 GPa and 6.53 GPa, respectively. The mechanism of negative thermal expansion in β-CuZnV₂O₇ is interpreted by the variations of the angles between atoms intuitively and the phonon anharmonicity intrinsically resorting to the negative Grüneisen parameter.