Relaxation Dynamics in Condensation on Weighted Scale-Free Networks

Most of the realistic networks are weighted scale-free networks. How this structure influences the condensation on it is a challenging problem. Recently, we make a first step to discuss its condensation [Phys. Rev. E 74 （2006） 036101] and here we focus on its evolutionary process of phase transition. In order to show how the weighted transport influences the dynamical properties, we study the relaxation dynamics in a zero range process on weighted scale-free networks. We find that there is a hierarchical relaxation dynamics in the evolution and there is a scaling relation between the relaxation time and the jumping exponent. The relaxation dynamics can be illustrated by a mean-field equation. The theoretical predictions are confirmed by our numerical simulations.     

弯梁斜跨拱桥合理恒载状态研究

弯梁桥和拱桥相互协作形成的弯梁斜跨拱桥,充分结合了弯梁桥的行车舒适性与拱桥易于布索的特点,大幅度提高了弯梁的跨越能力。本文首先综合斜拉桥索力调整和拱桥合理拱轴线设计方面的经验,研究弯梁斜跨拱桥合理恒载状态的实用设计方法;然后提出了约束松弛的二次规划算法和基于刚度矩阵减少重分析的策略,提高计算的收敛性和求解速度;最后经实桥分析指出设计中应注意的问题,为弯梁斜跨拱桥的应用提供依据。     

ASYMPTOTIC LIMITS OF ONE－DIMENSIONAL HYDRODYNAMIC MODELS FOR PLASMAS AND SEMICONDUCTORS

51. IntroductionIn mathematica1 modeling and numerical simulation for plasmas and semiconductorsdevices, the hydrodynamic model like the Euler-Poisson system is wildly used. Due tothe hyperbolic feature of the Euler equations, the study of weak solutions to the Euler-Poisson system is limited in one space dimension. In such situation, the existence of globalweak solutions can be proved under natural assumptions (see [22, 20, 17, 5, 18]). In aseries of papersl1l'l2'l31l4J l we are interested…     

A BRANCH-AND-PRICE ALGORITHM FOR SOLVING THE CUTTING STRIPS PROBLEM

After giving a suitable model for the cutting strips problem, we present a branch-and-price algorithm for it by combining the column generation technique and the branch-and-hound method with LP relaxations. Some theoretical issues and implementation details about the algorithm are discussed, including the solution of the pricing subproblem, the quality of LP relaxations, the branching scheme as well as the column management. Finally, preliminary computarional experience is reported.     

Molecular Dynamics Simulation on Charge Transfer Relaxation between Myoglobin and Water

Dynamical processes of myoglobin after photon-excited charge transfer between Fe ion and surrounding water anion are simulated by a molecular dynamics model. The roles of Coulomb interaction effect and water effect in the relaxation process are discussed. It is found that the relaxations before and after charge transfer are similar. Strong Coulomb interactions and less water mobility decrease Coulomb energy fluctuations. An extra transferred charge of Fe ion has impact on water packing with a distance up to 0.86nm.     

1,2-丙二醇协同松弛的DSC研究

利用差示扫描量热法(DSC)研究了1,2-丙二醇在不同降温速率下的协同松弛行为，以曲线拟合方法获得非线性Adam-Gibbs焓松弛参数．结果表明，模型参数强烈依赖于降温速率．在较高降温速率下获得的模型参数和用比热频谱及介电方法得到的结果很接近．利用DSC测得的比热容数据和拟合结果估算了1,2-丙二醇体系非线性AG理论的两个主要微观参数，即协同重排域(CRR)尺寸z*和对应的位形态数量W*．结果表明，如果采用聚合物玻璃推荐的W*，则会导致1,2-丙二醇在玻璃化温度处的CRR中的分子数小于1．而如果采用Johari的方法，则可得到玻璃化温度处的CRR中约有3个1,2-丙二醇分子，但随之产生的W*却异常的大．利用Donth的热力学温度波动公式估算得到的1,2-丙二醇在玻璃化温度处的CRR中的分子数为355，这和Johari方法得到结果难以统一．表明对于小分子氢键液体而言，非线性AG理论中z*的物理意义应重新审视．     

Geometric interpretation of several classical iterative methods for linear system of equations and diverse relaxation parameter of the SOR method

Two kinds of iterative methods are designed to solve the linear system of equations, we obtain a new interpretation in terms of a geometric concept. Therefore, we have a better insight into the essence of the iterative methods and provide a reference for further study and design. Finally, a new iterative method is designed named as the diverse relaxation parameter of the SOR method which, in particular, demonstrates the geometric characteristics. Many examples prove that the method is quite effective.     

稳健交通均衡模型的SDP松弛

交通均衡问题在城市交通管理中具有重要意义.研究均衡交通的目的是通过对稳定交通流进行量化分析、,为决策者提供交通规划及管理的依据.Wardrop交通均衡原理是描述交通均衡问题的基石,本文在其扩展之一的稳健Wardrop(Robust Wardrop,简记为RW)互补均衡模型的基础上,将不确定因素的盒子约束改进为球约束,以改善原有模型的保守度.其次给出带有不确定因素的稳健Wardrop极小化形式及其确定性稳健对应模型(Robust Counterpart,简记为RC).最后通过SDP松弛手段将稳健对应模型(RC)松弛为容易的线性半定规划问题进行求解,并给出实例说明,为不确定因素影响下的交通均衡问题提供了一种新的有效模型及解法.     

一类非负二次整数规划问题的分支定界缩减方法

针对一类非负整数二次规划问题,提出了一个新的分枝定界缩减方法.在这个方法里,使用了一个新的超矩形二分技术和一个新的线性规划松弛定下界技术,同时为了提高逼近程度和加快收敛速度,使用了超矩形缩减策略.数值结果表明所提出的算法是可行的和有效的.     

高聚物黏弹性力学模型计算中容易被忽视的基本问题(Ⅱ)——有关Voigt-Kelvin模型和四元件模型的计算

以高分子物理教学中的几道典型习题及解析为例,阐述了在应用黏弹性力学模型模拟高聚物力学松弛现象时,不能忽视的一些基本问题.