反常扩散:定向通过一个势能鞍点

考虑一个处于非Ohmic环境下的系统定向通过一个倒谐振子势鞍点的输运过程,给出了通过几率的解析式。结果表明在欠扩散情况下,时间有关的通过几率出现一个很强的超前峰和回流,这可能有助于理解重核熔合系统的激发函数随质心能量的慢增长机制。Directional transport of a particle in a non-Ohmic environment passing over the saddle point of a potential is considered and the analytical expression of the passing probability is obtained. Our results has shown that both overshooting and backflow are observed in the case of subdiffusion. This is a possible for understanding slow increasing of the fusion probability with the center-of-mass energy.     

Satellite infrared imagery, rawinsonde data, and gravity wave remote sensing of severe convective storms

GOES digital infrared data during the time period between two hours before the touchdown of tornado and the tornado touchdown time were used in this study. Comparison between tornado-associated clouds and non-tornado-associated clouds indicates that the difference between overshooting cloud top temperature and the tropopause temperature, or how much the cloud has penetrated above the tropopause, rather than either the absolute temperature of penetrative cloud top or the height of the top of overshooting turret is significant for the possible formation of severe storms. The penetrative overshooting cloud top collapses about 15 to 30 minutes before the touchdown of tornado. Gravity waves were detected from the severe convective storms.     

Flow overshooting in crossing flow of lattice gas

We study the lattice gas flow of two components of biased-random walkers at a crossing under a periodic boundary. The lattice gas mixture consists of two components of particles (walkers) in which one component of particles moves north and the other component of particles moves east. The current (flow) increases with ρ_x (density of the east-bound particles) at low density and displays overshooting at an intermediate density. The flow overshooting occurs only for a certain range of ρ_y (density of the north-bound particles). Then clogging occurs and the current saturates. Furthermore, when the density is high, the current decreases with increasing density. The overshooting shown in the current-density (fundamental) diagram is due to the formation of an unstable oscillating jam just before clogging occurs. It is shown that flow overshooting does not occur in unidirectional flow through a porous medium but occurs in unidirectional flow through a group of Brownian particles.     

羧甲基纤维素与丙烯酸接枝共聚凝胶的溶胀动力学及过溶胀平衡特性的研究

采用接枝共聚合成了羧甲基纤维素钠、丙烯酸与N,N′-亚甲基双丙烯酰胺的交联凝胶, 研究了这类凝胶在不同pH值的缓冲溶液中的溶胀行为, 发现在酸性介质中凝胶的溶胀动力学行为表现出过溶胀平衡特性(overshooting effect), 即凝胶先发生溶胀到最大值, 然后再逐渐消溶胀到平衡. 这种现象可归因于凝胶溶胀过程中羧基之间通过氢键所产生的协同物理交联. 较之凝胶的组成, 缓冲溶液的pH值对过溶胀平衡现象的影响更为显著. 前者是因为凝胶羧基的总摩尔分数并不随两组分结构单元摩尔数的改变而改变, 羧基之间通过氢键形成的物理交联程度在交联剂摩尔分数接近的条件下变化不大; 后者是由于溶液的pH值显著影响凝胶羧基的质子化程度, 进而影响羧基之间通过氢键形成的物理交联程度. 凝胶在酸性介质中的溶胀过程符合E. Díez-Peña等提出的溶胀动力学定量模型, 理论曲线与实验数据有较好的相关性. 凝胶在pH≥5.0的缓冲溶液中的溶胀不产生过溶胀平衡现象, 这一现象归因于完全离子化的羧基之间不能形成物理交联. 凝胶的溶胀过程遵循Schott二级溶胀动力学.     

基于灰色系统的支持向量回归预测方法

根据部分时间序列数据贫信息、高噪声和非线性等特点,采用含边值修正的灰色模型进行预测,获取残差序列后运用支持向量回归（SVR）方法对模型进行残差修正得到复合的灰色支持向量回归模型．在支持向量回归中构造具有自适用性的动态惩罚参数G替代传统SVR中的不变参数来提高模型的准确性,同时构造算法决定￡以平滑过度调节．广东省工业生产指数的预测试验结果表明,复合模型具有比其他简单模型更理想的预测效果．     

Global Dynamics in Binary Choice Models with Social Influence

A discrete-time dynamical system is proposed to model a class of binary choice games with externalities as those described by Schelling (1973 Schelling , T. C. ( 1973 ). Hockey helmets, concealed weapons, and daylight saving . Journal of Conflict Resolution , 17 ( 3 ), 381 – 428 .[Crossref], [Web of Science ®] , [Google Scholar], 1978 Schelling , T. C. ( 1978 ). Micromotives and Macrobehavior . New York : W. W. Norton . [Google Scholar]). In order to analyze some oscillatory time patterns and problems of equilibrium selection that were not considered in the qualitative analysis given by Schelling, we introduce an explicit adjustment mechanism. We perform a global dynamic analysis that allows us to explain the transition toward nonconnected basins of attraction when several coexisting attractors are present. This gives a formal explanation of some overshooting effects in social systems and of the consequent cyclic behaviors qualitatively described in Schelling (1978 Schelling , T. C. ( 1978 ). Micromotives and Macrobehavior . New York : W. W. Norton . [Google Scholar]). Moreover, we show how the occurrence of a global bifurcation may lead to the explanation of situations of path dependence and the creation of thresholds observed in real life situations of collective choices, leading to extreme forms of irreversible departure from an equilibrium and uncertainty about the long run evolution of the some social systems.