Superfluid-Mott-Insulator Phase Transition Phases of Bosons in an and Collective Fluctuations in both Optical Lattice

The Bose Hubbard model describing interacting bosons in an optical lattice is reduced to a simple spin-1 XY model with single-ion anisotropy in the vicinity of the Mott phase. In the strong coupling Mott insulating regime, we propose a mean t~eld theory based on a constraint SU（3） pseudo-boson representation on the effective model and discuss the excitation spectra and the phase transition to the superfluid state. Further to the superfluid phase, we use the coherent-state approach to derive the collective excitation modes. It is found that the Mort phase has two degenerate gapped quadratic excitation spectra which graduate into two degenerate gapless linear ones at the transition point, and one gapless linear mode with one gapped quadratic mode in the superfluid phase.     

Vapour-to-Liquid Nucleation in Associating Lennard-Jones Fluids with Multiple Association Sites

The excess Helmholtz free energy functional for associating Lennard-Jones （L J） fluid is formulated in terms of a weighted density approximation for short-ranged interactions and a Weeks-Chandler-Andersen approximation for long-range attraction. Within the framework of density functional theory, phase equilibria, vapour-liquid surface tension and vapour-liquid nucleation properties including the density profile, work of formation, excess number of particles and critical supersaturation are investigated for associating LJ fluids with different numbers of association sites （M =1,2, 3, 4） per particle. The influences of association energy and association sites on phase equilibria, surface tension and vapour-liquid nucleation properties are discussed.     

Electrical Characterization of Metal-Insulator-Metal Capacitors with Atomic-Layer-Deposited HfO2 Dielectrics for Radio Frequency Integrated Circuit Application

Metal-insulator-metal （MIM） capacitors with atomic-layer-deposited HfO2 dielectric and TaN electrodes are investigated for rf integrated circuit applications. For 12nm HfO2, the fabricated capacitor exhibits a high capacitance density of 15.5fF/μm2 at 100kHz, a small leakage current density of 6.4 × 10^-9 A/cm^2 at 1.8V and 125℃, a breakdown electric field of 2.6 MV//cm as well as voltage coefficients of capacitance （VCCs） of 2110ppm/V^2 and -824 ppm/V at 100kHz. Further, it is deduced that the conduction mechanism in the high field range is dominated by the Poole-Frenkel emission, and the conduction mechanism in the low field range is possibly related to trap-assisted tunnelling. Finally, comparison of various HfO2 MIM capacitors is present, suggesting that the present MIM capacitor is a promising candidate for future rf integrated circuit application.     

Cr原子气的玻色-爱因斯坦凝聚——量子铁磁流体

具有电偶极矩或磁偶极矩的原子（或分子）气，在逼近绝对零度的降温过程中，可能发生对称破缺的玻色-爱因斯坦凝聚（BEC）．最近，来自德国斯图加特大学物理研究所的Lahaye等，对^52Cr原子气首次实现了伴有强偶极相互作用的BEC．^52Cr原子气的各向同性BEC，已于2005年被实现（A．Griesmaier et al．Phys．Rev．Lett．2005，94：160401），Lahaye等的创新之处在于：通过Feshbach共振，减弱原子间通常的接触相互作用，以至于^52Cr原子间的各向异性磁偶极相互作用相对于前者大大增强．     

实施分层作业的若干策略

《数学课程标准》明确指出"义务教育阶段的数学课程应突出体现基础性、普及性和发展性,使数学教育面向全体学生,实现人人学有价值的数学,人人都能获得必需的数学,不同的人在数学上得到不同的发展".随着班额的逐渐增大,学困生的比例随之增大,不交作业的学生逐渐增多,而交作业的学生敷衍了事的数量也居高不下.     

植物导水模型初探

目前世界上对于植物长距离水分运输的微观机理假说存在争论。据此本文初步讨论了植物的导水模型。从流体力学角度讨论了水分在植物体内的运动状态,得出导管中的水分流动是在层流的状态下进行,且必须考虑粘性的作用;通过分析流体的层流运动,建立了导管中一维的流体模型,并简化导管以连续的梯形圆柱排列;分析受力,列出N-S方程,并求解出了一维导管模型的半径与压力梯度和各节管长的关系表达式。研究结果表明,模型中每一节导管的水受力都是平衡的,且各节之间相互独立。     

中国城市竞争力评价量化模型研究

本文建立一种将主、客观指标赋权方法优点相结合的城市竞争力综合评价分层构权主成分分析模型,在构建中国城市竞争力综合评价指标体系的基础上,基于该模型方法给出31个中国主要城市的城市竞争力的评价实例。并以并以判别分析方法对相关评价结果进行校验,实证分析的结果表明:这是一种适合于城市竞争力定量评价、稳定性较好且切实有效的方法模型。     

打水漂与物理学规律

打水漂是人类最古老的游戏之一.通过对打水漂进行简化定量分析得出,石块弹跳,只有在抛掷的初速度超过某个临界值时才会发生,并且给出了石块的最大弹跳次数.     

分段函数在生活中的应用

分段函数在生活中的应用既能很好地考查学生对一些基本函数、基础知识的掌握情况,又能考查学生灵活运用知识解决实际问题的能力,同时又能考查学生是否能运用运动与静止、变化与不变、特殊与一般的辩证思想.解答这类问题的关键是要紧扣题设条件(分段函数),根据自变量的不同取值范围,实施分类解答,做到不重不漏,分层讨论求解.……