Uncontrollable expansion of PbZn1/3Nb2/3O3-PbTiO3 perovskite⇒pyrochlore transition during spark plasma sintering: Mechanism proposal using infinite periodic minimal surfaces

The PbZn_1/3Nb_2/3O₃-PbTiO₃ phase (PZN-PT) prepared by mechanosynthesis exhibits interesting relaxor properties when transformed into nanostructured ceramic by spark plasma sintering. When trying to obtain denser ceramic to enhance physical properties, the PZN-PT phase transformation from perovskite to pyrochlore structure induces the graphite die explosion. An explanation of this phenomenon is based on the reorganization of the lone pairs corresponding to Pb²⁺ cations into the large cavities of pyrochlore network, inducing an important cell volume increase, together with the speed of transformation depicted in the light of infinite periodic minimal surfaces describing the perovskite (P-surface) and the pyrochlore (F-surface) networks, respectively.     

随机环境中马氏链的最小闭集

主要研究了随机环境中马氏链的最小闭集的一些性质,并就保守集C在何种情况下存在最小闭子集的开问题结合Foguel的L1-理论进行了讨论,得到了一些结果.     

A Direct Search Frame-Based Adaptive Barzilai-Borwein Method

This paper proposes a direct search frame-based adaptive Barzilai-Borwein method for unconstrained minimization. The method is based on the framework of frame-based algorithms proposed by Coope and Price, but we use the strategy of ABB method and the rotational minimal positive basis to reduce the computation work at each iteration. Under some mild assumptions, the convergence of this approach will be established. Through five hundred and twenty numerical tests using the CUTEr test problem library, we show that the proposed method is promising.     

Quantization of Space in the Presence of a Minimal Length

In this article,we apply the Generalized Uncertainty Principle(GUP),which is consistent with quantum gravity theories to an elementary particle in a finite potential well,and study the quantum behavior in this system.The generalized Hamiltonian contains two additional terms,which are proportional to αp~3(the result of the maximum momentum assumption) and α~2p~4(the result of the minimum length assumption),where α ~ 1/M_(PIC) is the GUP parameter.On the basis of the work by Ali et al.,we solve the generalized Schrodinger equation which is extended to include the α~2 correction term,and find that the length L of the finite potential well must be quantized.Then a generalization to the double-square-well potential is discussed.The result shows that all the measurable lengths especially the distance between the two potential wells are quantized in units of α_0l_(PI) in GUP scenario.     

快速多极虚边界元法对含圆孔薄板有效弹性模量的模拟分析

针对虚边界元法,引入快速多极展开和广义极小残值法(GMRES)的思想,以形成快速多极虚边界元法的求解思想,并将此方法用于含圆孔薄板有效弹性模量的模拟分析.由于本文方法采用了"源点"多极展开和"场点"局部展开的组合处理方案,从而使得原问题方程组求解的计算耗时量和储存量降至与所求问题的计算自由度数成线性比例.本文工作的研究目的在于:提高虚边界元法在普通台式机上的运算能力和拓宽虚边界元法对大规模复杂问题的求解(或数值模拟).文中给出了均布圆孔的正方形薄板和之字形分布圆孔薄板二个算例,以验证该方法的可行性,计算精度和计算效率.     

R-宇称破缺的相互作用研究

在LHC上,最小超对称标准模型中R-宇称破缺相互作用使LHC上tt对的产生有两种过程,一种是交换slepton粒子的t道的d_Rd_R→t_Lt_L过程,一种是交换squark粒子的u道的d_Rd_R→t_Rt 关键词： 最小超对称标准模型 R-宇称破缺相互作用 top夸克极化     

小球与均质定轴杆的碰撞

从小球与均质定轴杆（质心轴）的碰撞问题出发,讨论了不同类型碰撞所遵循的物理规律,总结了完全非弹性碰撞过程的能量特征．     

一种基于光谱库的雪粒径及形状参数反演新方法

雪粒径的形状因素对积雪的反射光谱曲线影响较大,如何有效地刻画雪粒径的形状参数成为研究的热点。渐进辐射传输模型被广泛地应用于雪粒径反演,其对雪粒径形状的描述只采用了2个值(3.62对应于片状雪粒径,4.53为球形雪粒径),较难描述积雪的形状参数,同时为了反演积雪的雪粒径,这两个形状参数必须被提前固定,这大大降低了雪粒径的反演精度,为此提出了一种基于光谱库的雪粒径及形状参数反演算法(LUTMA)。首先利用渐进辐射传输模型建立不同粒径,不同形状参数的光谱库,然后采用光谱角指标进行匹配,最终获取积雪的粒径与形状参数。实验表明,基于光谱库的雪粒径及形状参数反演新方法与实测数据较为吻合。     

基于历史故障数据的租赁设备预防维护策略优化

针对租赁设备的特殊性,提出了一种周期预防维护策略模型。该策略综合考虑设备的当前维护周期、预防维护、小修以及惩罚机制等因素对维护成本的影响,从设备的当前维护周期出发,构造出故障率分布的平滑函数,以设备的历史故障数据信息为依据,使用最大似然估计解析方法对设备的故障率分布函数参数进行有效估计,建立以租赁企业维护成本最小化为目标的周期预防维护策略模型。最后是算例分析,研究表明,该策略符合租赁设备维护的实际情况,可为租赁企业提供有效的维护解决方案。     

欠匹配型磁绝缘感应电压叠加器次级阻抗优化方法

磁绝缘感应电压叠加器(MIVA)次级阻抗对脉冲功率驱动源和负载之间的功率耦合具有重要影响.基于稳态磁绝缘Creedon层流理论和鞘层电子流再俘获(re-trapping)理论,建立了负载欠匹配型MIVA电路分析方法,数值分析获得了MIVA输出参数(输出电压、阴/阳极电流和电功率)随负载欠匹配程度的变化规律.考虑阴极传导电流作为闪光X射线照相二极管的有效电流,建立了以MIVA末端X射线剂量率最大为目标的次级阻抗优化方法.获得了欠匹配型MIVA次级优化阻抗Z_(op)~*的变化规律:随着X射线剂量率对电压依赖程度提高,欠匹配型MIVA次级优化阻抗Z_(op)~*呈指数降低;负载阻抗越大,Z_(op)~*越大.