一个基于Keeping Up with the Joneses的随机内生增长模型

本文建立了一个基于Keeping up with the Joneses的随机内生增长模型,利用"伪双状态变量"法得到了均衡时的最优消费、最优经济增长率和最优福利,讨论了相对消费对它们的影响.     

CO_2激光光栅式扫描修复熔石英表面缺陷的实验研究与数值模拟

基于熔石英材料对波长为10.6μm的CO2激光具有强吸收作用这一特点,提出采用CO2激光光栅式多次扫描修复熔石英光学元件表面密集分布的划痕和抛光点等缺陷的方法.实验结果表明,在合理的扫描参数下,元件表面的划痕和抛光点等缺陷可被充分地消除.损伤阈值测试结果表明,表面划痕和抛光点等缺陷被完全消除的元件的损伤阈值可回复到或超过基底的损伤阈值.同时结合有限元软件Ansys的模拟结果分析了CO2激光扫描修复及消除元件表面划痕和抛光点等缺陷的过程.本文为消除元件表面划痕和抛光点等缺陷提供了非常有意义的参考.     

双环掺铒光纤激光器混沌偏振控制方法研究

提出双环掺铒光纤激光器激光混沌的偏振耦合控制以及部分偏振控制方法,偏振耦合控制能控制耦合相互作用以控制激光混沌,部分偏振控制是控制部分偏振耦合效应以控制激光混沌.数值模拟了偏振耦合控制混沌和某一个环的部分偏振控制混沌,它们都能实现把双环掺铒光纤激光器激光混沌控制到稳定态和周期态上;通过实时调控光的偏振方向,这两种混沌控制方法都能实时地、动态地、有效地控制激光混沌进入到稳定态和周期态上.     

Translocation of Single Polymer Chain from Nanopore on a Membrane： Solvent Effect

We investigate the translocation of single polymer chain through a nanopore located on a membrane with different solvents in the two sides of the membrane. For the case under study, the effect of solvents on the translocation dynamics is significant, and as a result, the mean first passage time shortens remarkably compared with that calculated in the case of good solvents on both the sides of the membrane. In addition, we also discuss the condition such that the present result holds true.     

_(a_1)_(d_1)-A_(a_2)D_(d_2)型氢键体系的网络结构参数

利用溶胶-凝胶分配理论对氢键溶液的模型体系进行研究,给出了体系的凝胶化条件以及凝胶点后氢键网络中各类结构参数的计算方案,并进行了相应的数值计算.结果表明,当两类质子受体基团的活性不同时,质子受体基团的竞争作用对网络结构有一定影响.这为控制氢键网络结构特征提供了可能的理论线索.     

含气率对PTS时压力容器内流动与传热的影响

本文对反应堆压力容器紧急安注时的流动与传热特性在1/10的模型上进行了流动可视化、局部传热系数以及混合函数的试验研究。针对三个热冲击敏感区域的部分测点,比较了环腔流速为0.5m/s、安注流速为1～30 m/s时不同含气率对下降环腔内流动与传热特性的影响,得出并分析了不同测点传热系数、混合函数的变化规律。研究结果表明:随着含气率增大,安注流体与环腔流体的混合增强;下降环腔内的含气率对小安注流速时的流动与传热影响显著,而对大安注流速时影响较小。     

动态键型凝胶自修复行为的Monte Carlo模拟

根据动态键型自修复凝胶的结构特征构建了凝胶断面的格气(Lattice-gas)模型,并利用Monte Carlo模拟方法对其自修复过程进行研究.基于格气模型与Ising模型的等价性指出动态键型凝胶的自修复行为在本质上是一个相变过程,并根据自修复过程中的比热变化进行证明,进而确定临界联结分数.模拟了不同条件下凝胶的自修复行为,重点考察了联结强度、合作效应及断面间距对自修复行为的影响.     

Af型自由基均聚反应的固化理论（1）

利用高分子统计方法，通过引入引发几率及链增长几率，得到了Ａｆ型非线性自由基均聚反应的溶胶及凝胶化条件，进一步利用Ｌａｇｒａｎｇｅ展开定理，得到了体系的数量分布函数，并证明了分布函数的不变性，从而简化了凝胶点后各种平均高分子物理量的表征。     

Af型自由基均聚反应的固化理论（Ⅱ）：凝胶网络的结构参数

用高分子反应统计理论，给出Ａｆ型自由基均聚反应在不同反应程度时的弹性有效链及悬吊链的链数，链节数和平均链长，也得到了体系的有效交联点数和弹性模量，进而给出弹性有效链的数量和重量分数，以此可进一步揭示该反应体系凝胶网络的粘弹性及相关的力学性质。     

Structural and thermodynamic properties of inhomogeneous fluids in rectangular corrugated nano-pores

Based on the free-energy average method, an area-weighted effective potential is derived for rectangular corrugated nano-pore. With the obtained potential, classical density functional theory is employed to investigate the structural and thermodynamic properties of confined Lennard-Jones fluid in rectangular corrugated slit pores. Firstly, influence of pore geometry on the adsorptive potential is calculated and analyzed. Further, thermodynamic properties including excess adsorption, solvation force, surface free energy and thermodynamic response functions are systematically investigated. It is found that pore geometry can largely modulate the structure of the confined fluids, which in turn influences other thermodynamic properties. In addition, the results show that different geometric elements have different influences on the confined fluids. The work provides an effective route to investigate the effect of roughness on confined fluids. It is expected to shed light on further understanding about interfacial phenomena near rough walls, and then provide useful clues for the design and characterization of novel materials.