Effects of Continuous Size Distributions on Pressures of Granular Gases

Direct Monte Carlo simulations are employed to investigate the granular pressures in granular materials with a power-law particle size distribution. Specifically, smooth circular discs of uniform material density are engaged in a two-dimensional rectangular box, colliding inelastically with each other and driven by a homogeneous heat bath at zero gravity. The resulting pressures are found to decrease as the widths of particle size distribution are increased. Moreover, the granular pressures in power-law systems are found to be unequally distributed among the various sizes of particles, with large particles possessing more pressure than their smaller counterparts. The width-dependent nature of the total pressures is induced by the more dispersion of smaller particles in the system as the particle size distribution is widened.     

Sandpile Dynamics Driven by Degree on Scale-Free Networks

We introduce a sandpile model driven by degree on scale-free networks, where the perturbation is triggered at nodes with the same degree. We numerically investigate the avalanche behaviour of sandpile driven by different degrees on scale-free networks. It is observed that the avalanche area has the same behaviour with avalanche size. When the sandpile is driven at nodes with the minimal degree, the avalanches of our model behave similarly to those of the original Bak-Tang-Wiesenfeld （BTW） model on scale-free networks. As the degree of driven nodes increases from the minimal value to the maximal value, the avalanche distribution gradually changes from a clean power law, then a mixture of Poissonian and power laws, finally to a Poisson-like distribution. The average avalanche area is found to increase with the degree of driven nodes so that perturbation triggered on higher-degree nodes will result in broader spreading of avalanche propagation.     

脉冲激光制膜过程中等离子体演化规律的研究

利用有限差分法对脉冲激光沉积(PLD)技术制备KTa065Nb035O3(KTN)薄膜过程中等离子体在等温和绝热两个阶段的速度演化进行了模拟，并给出了其中主要粒子在空间的具体演化规律，对等离子体在空间膨胀的物理机制，进行了深入的讨论，给出了相应演化过程的物理图像，并揭示了等离子体羽辉在膨胀过程中呈现椭球外形的内在原因.     

Temperature Properties in Polydisperse Granular Mixtures

Numerical simulations are employed to consider the problem of determining the granular temperatures of the species of a homogeneous heated granular mixture with a power-law size distribution. The partial granular temperature ratios are studied as functions of the fractal dimension D, the restitution coefficient e, the rescaled viscosity time, the average occupied area fraction φ, the total particle number N and the number fraction. Different species of particles in a power-law system typically do not have the same mean kinetic energy, namely the granular temperature. It is found that the extent of nonequipartition of kinetic energy is determined by the fractal dimension D, the restitution coefficient e and the rescaled viscosity time, while is insensitive to the total particle number N , the area fraction φ and the number fraction.     

KTN薄膜脉冲激光沉积过程的机理研究

根据能量平衡原理,导出了脉冲激光作用靶材的烧蚀率公式,并根据流体动力学理论,得出了脉冲激光产生的等离子体的空间运动特性方程,将靶材烧蚀率公式与等离子体空间动力学方程结合起来,根据实验研究了不同激光功率密度和波长对Kta_0.65Nb_0.35O₃(KTN)薄膜沉积特性的影响,得到了一些有价值的结果,并对结果进行了详细的讨论,理论计算结果与实验大体符合. 关键词： PLD技术 烧蚀率 等离子体 KTN薄膜     

脉冲激光制备薄膜材料的机理

给出脉冲激光作用块状靶材的烧蚀模型.根据能量平衡原理,导出烧蚀面的位置随时间的变化关系.利用绝热近似、温度连续性条件和能量平衡原理来获得烧蚀面与固液相界面边界条件.结合热传导方程,利用精确解与积分近似法相结合的方案,给出固液两相的温度分布与时间和位置的变化关系,以及固液相界面的位置随时间的变化规律,并将理论结果与实验数据进行比较.由流体动力学理论,得出了脉冲激光产生的等离子体的空间输运方程,将此方程与靶材烧蚀率公式结合起来,根据实验数据研究了不同激光功率密度和波长对KTN(KTa_0.65Nb_0.35O₃)薄膜沉积特性的影响,得到了一些有价值的结果,并对结果进行了详细的讨论.     

脉冲重复频率对脉冲激光沉积薄膜的生长过程的影响

脉冲重复频率在脉冲激光沉积技术中起重要的作用,影响最终的薄膜材料的性能.利用动力学蒙特卡罗方法,我们研究了脉冲激光沉积技术中,在不同脉冲重复频率条件下的薄膜生长的初期阶段.模拟结果显示,在低脉冲频率时,前后脉冲之间的间隔时间较长,生长岛有足够的时间熟化.因此,生长岛的密度会比较小且岛的形貌比较规则.而当脉冲重复频率增大时,岛的密度则随之增加,岛呈现出松散的或者枝杈状的形貌.另外,脉冲占空比也就是沉积时间在一定程度上也会对岛的凝聚过程有影响.最后我们将模拟结果与实验结果进行了对比和讨论.     

基于无标度网络拓扑结构变化的舆论演化模型

基于BA无标度网络,构建了舆论和网络结构相互影响的自适应舆论演化模型.舆论的演化不仅受制于网络拓扑结构,而且也导致拓扑结构的变化.研究表明,演化达到稳态后,网络结构不再是初始的无标度网络而呈现泊松分布,而且随着时间的推移,系统中的舆论演化表现出很强的趋同效应,原来初始状态的几十个舆论,在长时间的演化后,大部分舆论灭亡,只有少数的舆论存留,且发展壮大.这种趋向与社会上的舆论、意见、信仰的演化大体上是符合的.     

飞秒多脉冲激光烧蚀金属过程中的能量剩余现象

 提出了描述整个飞秒多脉冲激光烧蚀过程的物理模型,模型考虑了多脉冲烧蚀的新的特点,考虑靶材吸收率随温度的变化和蒸发效应,建立了激光烧蚀不同阶段的热传导方程,给出了相应的定解条件。以金靶材为例,利用有限差分法,求解了热传导动力学方程,分别给出单脉冲和多脉冲作用下相应的靶材电子和离子亚系统的温度演化图像,及多脉冲激光作用下能量剩余系数和脉冲个数的变化规律,发现理论曲线与相应的实验数据吻合较好。研究结果充分证明多脉冲激光烧蚀过程中剩余能量的存在。