Gas-liquid phase coexistence and finite-size effects in a two-dimensional Lennard-Jones system

The gas-liquid phase coexistence in a two-dimensional Lennard-Jones system is investigated using Maxwell construction method together with molecular dynamics simulations.The results of phase coexistence in different truncations of the potential are compared with data obtained from the literature,and the corresponding critical properties calculated.The crossover from Ising-like to mean field behavior is observed and confirmed as the temperature approaches the critical point from below.Performing simulations on systems with different sizes,we find that a finite size effect is more significant than those shown in most of the previous results,and a lower critical temperature is obtained when the full extent of this finite size effect is considered.     

Spatial prisoner’s dilemma games with increasing size of the interaction neighborhood on regular lattices

We studied the evolution of cooperation in the prisoner’s dilemma game on a square lattice where the size of the interaction neighborhood is considered. Firstly, the effects of noise and the cost-to-benefit ratio on the maintenance of cooperation were investigated. The results indicate that the cooperation frequency depends on the noise and cost-to-benefit ratio: cooperation reaches a climax as noise increases, but it monotonously decreases and even vanishes with the ratio increasing. Furthermore, we investigated how the size of the interaction neighborhood affects the emergence of cooperation in detail. Our study demonstrates that cooperation is remarkably enhanced by an increase in the size of the interaction neighborhood. However, cooperation died out when the size of the interaction neighborhood became too large since the system was similar to the mean-field system. On this basis, a cluster-forming mechanism acting among cooperators was also explored, and it showed that the moderate range of the neighborhood size is beneficial for forming larger cooperative clusters. Finally, large-scale Monte Carlo simulations were carried out to visualize and interpret these phenomena explicitly.     

边染色9-临界图边数的新下界

针对Vizirtg猜想△为9的情况，运用Discharging差值转移方法研究了9-临界图的边数下界，得到了新结论：m≥10^-36n,改进了已有结果。     

试论吐蕃时期布达拉宫的建筑规模

举世闻名的布达拉宫是西藏的标志性建筑，也是西藏文明的象征。在一千余年的历史发展过程中，布达拉宫的建筑规膜发生了巨大变化。文章试图从吐蕃时期的重要历史事件中提取有关布达拉宫的零星记栽，分析自吐蕃时期布达拉宫建筑规模的变化，为还原布达拉宫的原貌提供一些历史的线索和依据。     

考虑大宗交易的均值-方差投资组合优化模型及其分支定界算法

由于大宗交易下边际交易费用递减,因此用线性加凹的函数拟合实际交易费用函数, 建立了均值-方差框架下的组合优化模型并给出了相应的求解算法.通过对恒生指数样本股的实证分析发现:考虑大宗交易的组合有效边缘介于线性交易费用和无交易费用的组合有效边缘之间; 大宗交易稀释了“分散化降低风险”的效应; 大宗交易下交易费用越大, 相对于线性交易费用而言组合集中度越高.     

等效性/非劣性检验在方法学研究中的应用尝试

在方法学研究和比较试验中引入等效性/非劣性判定检验,介绍此类试验样本数的估算、判定界值的确定及进行非劣性判定的假设检验理论和实际过程,并举例进行计量数据方法的非劣性判定.     

粉煤灰性能与其最优掺量的灰色关联分析

为研究粉煤灰品质对混凝土开裂性能的影响,利用改进的平板法分析粉煤灰的品质和掺量对混凝土的开裂性能的影响.同时,采用灰色关联分析方法研究粉煤灰粒径分布与化学成分对其最优掺量的影响.研究结果表明:粒径小于20.4μm的粉煤灰颗粒与其最优掺量是正关联;适当提高粉煤灰中MgO,K2O,CaO与SO3的质量分数和降低烧失量可以提高其最优掺量.     

大熊猫体型变化及兴衰分析

利用收集到的47号现生大熊猫头骨标本与古代化石标本禄丰祖熊猫，小型大熊猫，大熊猫武陵山亚种和大熊猫巴氏亚种进行比较，表明大熊猫的体型变化是由小→大→小，并分析了体型变化的原因，从内外因素的相互作用方面剖析了大熊猫目前的处境及濒危原因，提出了延缓哀亡进程的措施。     

砂轮粒度及其修整影响GCr15钢磨削表面质量的研究

本文探讨了砂轮粒度及其修整对滚动轴承钢Gcr15磨削表面质量的影响。采用不同粒度、不同修整导程的砂轮分别在外圆磨床上进行切入式横磨,对磨削力、磨削温度、工件表层显微硬度及其表面粗糙度等影响均作了试验研究。结果表明,合理选择砂轮粒度与修整导程是提高滚动轴承钢磨削表面质量的重要途径之一。