Zero-determinant strategy:An underway revolution in game theory

Repeated games describe situations where players interact with each other in a dynamic pattern and make decisions according to outcomes of previous stage games. Very recently, Press and Dyson have revealed a new class of zero-determinant(ZD) strategies for the repeated games, which can enforce a fixed linear relationship between expected payoffs of two players, indicating that a smart player can control her unwitting co-player’s payoff in a unilateral way [Proc. Acad. Natl. Sci.USA 109, 10409(2012)]. The theory of ZD strategies provides a novel viewpoint to depict interactions among players,and fundamentally changes the research paradigm of game theory. In this brief survey, we first introduce the mathematical framework of ZD strategies, and review the properties and constrains of two specifications of ZD strategies, called pinning strategies and extortion strategies. Then we review some representative research progresses, including robustness analysis,cooperative ZD strategy analysis, and evolutionary stability analysis. Finally, we discuss some significant extensions to ZD strategies, including the multi-player ZD strategies, and ZD strategies under noise. Challenges in related research fields are also listed.     

具有非均匀渐变界面DBR的光学特性分析

应用特征矩阵法研究了非均匀渐变界面Al_0.9Ga_0.1As/Al_yGa_1-yAs/GaAs/Al_xGa_1-xAs DBR的光学特性.建立了非均匀渐变界面Al_yGa_1-yAs的折射率模型，并得到了渐变界面特征矩阵的解析解，通过特征矩阵法分别计算了突变GaAs/Al_0.9Ga_0.1As DBR和渐变DBR的反射谱和反射相移，分析了非均匀渐变层对DBR光学特性的影响，对渐变DBR，需要在DBR前面再增加一定厚度的非均匀渐变相位匹配层才能使整个DBR满足中心波长相位匹配条件，并通过光学厚度近似方法求出相位匹配层厚度. 关键词： DBR 反射谱 反射相移 特征矩阵法     

Transport properties and anomalous fatigue effect of Ag/Bi0.9La0.lFeO3/La0.7Sr0.3MnO3 heterostructures

The transport properties and fatigue effect of Ag/Bi0.9La0.lFeO3/La0.7Sr0.3MnO3 heterostructures are described. By examining the I-V curves, an anomalous fatigue effect was found and its influences on resistive states were studied. I-V curves combined with C-f spectra were used to directly analyze the transport properties and fatigue effect. Compared to the first I-V cycle state, this structure shows more than one order increase of resistance after 100 cycles of ＂I-V curve training＂. The redistribution of oxygen vacancies in the depletion layer of Ag/Bi0.9La0.lFeO3 is believed to be responsible for the different resistance mechanisms and tenfold magnitude drop in resistance. The resistive switching is understood to be caused by electric field-induced carrier trapping and detrapping, which changes the depletion layer thickness at the Ag/Bi0.9La0.lFeO3 interface.     

四杆型射频四极场加速器的极间电压调谐及测定北大核心CSCD

为了提高射频四极场加速器(RFQ)的束流传输效率,需要对纵向分布不均匀的极间电压进行补偿,并且准确测量束流实验中极间电压的绝对数值。考虑到极间电压分布不均匀是由于分布电容和端部效应造成的,而采用调谐块可以调节分布电感,通过电磁场数值模拟研究了调谐块对极间电压分布的影响,最终极间电压的平整度被调整到优于95%。在束流实验中,通过测量轫致辐射谱测定了极间电压的数值,通过束流动力学模拟研究了多能峰产生的原因,并最终标定了70kV极间电压对应的输入功率值284kW。     

体积排阻高效液相色谱-电感耦合等离子体质谱法测定海产贝类中镉的形态

运用体积排阻高效液相色谱-电感耦合等离子体质谱联用技术(SEC-HPLC-ICP-MS)分析了高镉积累扇贝和低镉积累菲律宾蛤仔中镉的存在形态,并结合体外全仿生消化技术,研究了在唾液、胃、肠无机物和有机物(含消化酶)作用下,扇贝和菲律宾蛤仔中镉的主要存在形态.结果发现:扇贝中Cd总量约为菲律宾蛤仔的10倍;在扇贝中检测到3种Cd形态:金属硫蛋白(MT)-Cd、谷胱甘肽(GSH) Cd和半胱氨酸(Cys)-Cd;在菲律宾蛤仔中检测到2种Cd形态:MT-Cd和GSH-Cd;以峰面积作参考进行比较,扇贝中MT-Cd和GSH-Cd含量分别约为菲律宾蛤仔的5 6和2.0倍.结合体外全仿生模型发现,在扇贝胃全仿生提取液中,检测到1种未知小分子有机镉形态(Cd-X),在扇贝肠全仿生提取液中检测到4种Cd形态,其中MT-Cd是主要形态;而在菲律宾蛤仔胃、肠全仿生提取液中均仅检测到1种未知小分子有机态镉(Cd-X).本实验证明贝类中的MT-Cd,GSH-Cd,Cys-Cd中络合的Cd在生物体胃肠消化液作用下会发生解离.     

普通凝固Mg-Zn-Y准晶材料的摩擦磨损特性

采用普通凝固方法制备Mg-Zn-Y准晶材料,在不同试验条件下对普通凝固Mg-Zn-Y准晶材料进行了干摩擦试验,研究了载荷和磨损时间对准晶材料摩擦特性的影响,并对磨损表面形貌及磨屑进行了观察与分析.结果表明:随着载荷的增加,摩擦系数减小;在相同载荷条件下,随着Y含量的增加,摩擦系数及磨损质量损失均逐渐减小,耐磨性逐渐增强.     

高功率脉冲非平衡磁控溅射放电特性和参数研究

用线圈电流控制非平衡磁场,用汤森放电击穿形成深度自触发放电,用磁阱捕获放电形成的二次电子和导致漂移电流,形成了高功率非平衡磁控溅射放电。采用偏压为-100V相对磁控靶放置的圆形平面电极收集饱和离子电流;在距离磁控靶14cm的位置由Langmuir探针测量浮置电位;示波器测量磁控靶的脉冲电压、电流、浮置电位和饱和离子电流信号。装置的放电脉冲功率达到0.9MW,脉冲频率最大值为40Hz左右,空间电荷限制条件是控制电子电流和离子电流的主要机制。     

A close-form solution to simply supported piezoelectric beams under uniform exterior pressure

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Initial-boundary value problems for a class of nonlinear thermoelastic plate equations

This paper studies initial-boundary value problems for a class of nonlinear thermoelastic plate equations. Under some certain initial data and boundary conditions, it obtains an existence and uniqueness theorem of global weak solutions of the nonlinear thermoelstic plate equations, by means of the Galerkin method. Moreover, it also proves the existence of strong and classical solutions.