Maximum norms of random sums and transient pattern formation

Many interesting and complicated patterns in the applied sciences are formed through transient pattern formation processes. In this paper we concentrate on the phenomenon of spinodal decomposition in metal alloys as described by the Cahn-Hilliard equation. This model depends on a small parameter, and one is generally interested in establishing sharp lower bounds on the amplitudes of the patterns as the parameter approaches zero. Recent results on spinodal decomposition have produced such lower bounds. Unfortunately, for higher-dimensional base domains these bounds are orders of magnitude smaller than what one would expect from simulations and experiments. The bounds exhibit a dependence on the dimension of the domain, which from a theoretical point of view seemed unavoidable, but which could not be observed in practice.

In this paper we resolve this apparent paradox. By employing probabilistic methods, we can improve the lower bounds for certain domains and remove the dimension dependence. We thereby obtain optimal results which close the gap between analytical methods and numerical observations, and provide more insight into the nature of the decomposition process. We also indicate how our results can be adapted to other situations.

     

FeCoB-SiO2磁性纳米颗粒膜的微波电磁特性

采用交替沉积磁控溅射工艺制备了超薄多层的FeCoB SiO2 磁性纳米颗粒膜 .利用x射线衍射仪、扫描探针显微镜、透射电子显微镜分析了薄膜的微结构和形貌特征 .采用振动样品磁强计、四探针法、微波矢量分析仪及谐振腔法测量薄膜试样的磁电性能和微波复磁导率 .重点对SiO2 介质相含量、薄膜微结构对电磁性能产生重要影响的机理做了分析和探讨 .结果表明 :这类FeCoB SiO2 磁性纳米颗粒膜具有良好的软磁性能和高频电磁性能 ,2GHz时的磁导率 μ′高于 70 ,可以应用于高频微磁器件或微波吸收材料的设计     

低进汽压力下超音速两相流升压特性实验研究

本文采用实验方法研究了进汽压力为0.2 MPa以下时,由蒸汽喷嘴、混合腔及相应的阀门和管道组成超音速汽液两相流升压加热装置的运行特性。实验表明在进汽压力为0.1 MPa-0.2 MPa时,超音速汽液两相流升压加热装置都可稳定可靠地运行,且升压效果明显,可满足电力、供暖、轻工等许多行业蒸汽加热的要求。     

某轴流压气机叶尖间隙效应实验研究

本文对某低速轴流压气机叶尖间隙尺度对性能的影响进行了实验研究,并通过不同的机匣结构情况研究一种叶尖漏流不敏感机匣。实验表明,不同的间隙尺度对叶轮机总体性能存在十分明显的影响。对绝大部分运行状态,小间隙下的压升和效率均明显高于大间隙的情况。另外,所采用的毛刷式和篦齿式的机匣实验结果表明,不论毛刷式还是篦齿式机匣,在大流量负攻角情况下对性能的影响不大,但毛刷式机匣并不能达到提高失速裕度的目的,而篦齿式机匣在小流量情况下对压升有所提高,但对效率影响不大。     

红光激发下掺Ho3+氟化物薄膜的上转换发光

利用激光脉冲沉淀法制备了稀土Ho~(3 )掺杂的氟化物薄膜。观测到处于薄膜中的Ho~(3 )离子在632.8nm红光激发下的上转换发射。这些上转换发射包括:~5S_2→~5I_7,~5F_4→~5I_7和~5S_2→~5I_8。     

热丝加热电流对CH薄膜沉积速率和表面形貌的影响

 热丝辅助裂解法是结合气相沉积制备聚对二甲苯薄膜和热丝化学气相沉积而形成的一种制-CH薄膜的新方法。热丝辅助裂解法的最大特点就是在保持低衬底温度情况下可以获得高沉积速率，而热丝加热电流对薄膜沉积速率和薄膜表面形貌具有重要影响。研究表明，热丝加热电流越大，薄膜沉积速率越高，在加热电流9A时，薄膜沉积速率可达0.002mm/min，同时薄膜表面粗糙度随之增加，薄膜表面也开始出现其它元素污染，因此，一般热丝加热电流选择为7A附近。     

可调谐液晶法-珀滤光片的研究

提出了一种可用于密集波分复用系统中的新型可调谐滤光片的设计方法,该设计利用了液晶的双折射现象,以及液晶盒内法-珀效应,从理论上分析了器件的光谱特性,计算了液晶分子的折射率调制和其分子转动角度的关系.并对器件进行了性能测试.实验结果与理论吻合较好.     

On the Second Law of Thermodynamics and the Piston Problem

The piston problem is investigated in the case where the length of the cylinder is infinite (on both sides) and the ratio m/M is a very small parameter, where m is the mass of one particle of the gaz and M is the mass of the piston. Introducing initial conditions such that the stochastic motion of the piston remains in the average at the origin (no drift), it is shown that the time evolution of the fluids, analytically derived from Liouville equation in a previous work, agrees with the Second Law of thermodynamics. We thus have a non equilibrium microscopical model whose evolution can be explicitly shown to obey the two laws of thermodynamics.     

Tunable microlens arrays using polymer network liquid crystal

A tunable-focus microlens array based on polymer network liquid crystal (PNLC) is demonstrated. The PNLC was prepared using an ultraviolet (UV) light exposure through a patterned photomask. The photocurable monomer in each of the UV exposed spot forms an inhomogeneous centro-symmetrical polymer network which acts as a lens when a homogeneous electric field is applied to the cell. The focal length of the microlens arrays is tunable with the applied voltage.