Effects of phonon-phonon coupling on low-lying states in neutron-rich Sn isotopes

Starting from an effective Skyrme interaction we present a method to take into account the coupling between one- and two-phonon terms in the wave functions of excited states. The approach is a development of a finite rank separable approximation for the quasiparticle RPA calculations proposed in our previous work. The influence of the phonon-phonon coupling on energies and transition probabilities for the low-lying quadrupole and octupole states in the neutron-rich Sn isotopes is studied.     

Numerical approximation of a viscoelastic frictional contact problemApproximation numérique d'un problème viscoélastique de contact avec frottement

We consider a fully discrete scheme for a quasistatic frictional contact problem between a viscoelastic body and an obstacle. The contact is bilateral, the friction is modeled with Tresca's law and the behavior of the material is described with a viscoelastic constitutive law with long memory. We state an existence and uniqueness result for the discrete solution, followed by error estimate results. Then, we present numerical simulations in the study of a two-dimensional test example. To cite this article: Á. Rodríguez-Arós et al., C. R. Mecanique 334 (2006).     

Estimation of the mesoscopic thermoplastic dissipation in High-Cycle FatigueEstimation de la dissipation thermoplastique en fatigue à grand nombre de cycles

A series of High-Cycle Fatigue (HCF) criteria for polycrystalline materials is based on a multiscale interpretation, proposed initially by Dang Van, in which the principal concepts are a two scales model and a shakedown condition. The purpose of this Note is to extend the study of the different dissipative regimes during cyclic loading within this framework by using a self consistent homogenization scheme in coupled thermoplasticity. It is shown that the Sachs and Lin-Taylor schemes are not able to represent the thermal evolutions observed during fatigue tests. To cite this article: E. Charkaluk, A. Constantinescu, C. R. Mecanique 334 (2006).     

Pigment identification and decoration analysis of a 5th century Chinese lacquer painting screen: a micro‐Raman and FTIR study

To investigate the pigments and decoration applied to a wood‐based lacquer painting screen from the tomb of Si‐ma Jin‐long, Shanxi Province, central China, made by Chinese craftsmen in the 5th century, a combination of micro‐Raman spectroscopy, Fourier transform infrared spectroscopy (FTIR), wavelength dispersive X‐ray fluorescence (WDXRF), and microscopic examination was used. The obtained results are as follows: (1) the black, yellow, and red colors are identified as carbon black, orpiment and realgar, and cinnabar, respectively, by using micro‐Raman spectroscopy. The FTIR result shows that the white pigment filled in the leaves is not lead white, as assumed in the literature, but gypsum. Whether lead white was used at other locations remains unanswered and requires more samples for further work; (2) the thickness of each discernable pigment layer, as observed under the microscope, is approximately equal and the differences among them are small, suggesting a superfine painting skill; besides, a noticeable smooth interface between wood and the red grounding substance indicates that a polishing process might have been applied before the painting; (3) the red background was proved to contain cinnabar, but further FTIR analyses found no evidence for the presence of Chinese wood oil; and (4) the most interesting finding, rarely reported before, is that white grains of different sizes are found in both pigment layers and the grounding substance, which are perhaps an intentional addition. Further, in situ XRF and Raman analyses indicate that they are sourced from hydroxyapatite, coming probably from the intentional addition of animal bone ash to the lacquer. But how such a process could be finished and what purpose it served have not yet been answered. Copyright © 2009 John Wiley & Sons, Ltd.     

An invariance principle for Azéma martingales

An invariance principle for Azéma martingales is presented as well as a new device to construct solutions of Emery's structure equations.     

Un contre-exemple sur les families de courbes gauches

In this paper we give an example of two composants X and X,_o of the Hilbert scheme of space curves (i.e. components of subschemes with constant cohomology) satisfying the condition of semi-continuity (the cohomology of curves in X is less than the cohomology of curves in X,_o) but not the property X ₀?[Xbar]≠Ø.     

Counting SL2（F2^s） Representations of Torus Knot Groups

In this paper,we count the number of SL2(F2^s)-representations of torus knot groups up to a conjugacy.For the finite field F2^s with character 2,the counting method is similar to that in out previous work[1].Explicit formulae of the effective counting are given in this paper.Twisted Alexander polynomials related to those reprsentations are discussed.     

三元无皂乳液共聚合动力学及其模型的研究

以苯乙烯（ Ｓｔ） 和甲基丙烯酸甲酯（ Ｍ Ｍ Ａ） 为主单体,以丙烯酸（ Ａ Ａ） 为功能单体进行了无皂乳液批量共聚合．考察了功能单体浓度、引发剂过硫酸铵（ Ａ Ｐ Ｓ） 浓度及聚合温度对其动力学行为的影响．建立了转化率 时间关系曲线的模型函数——— Ｇａｍ ｍａ 积分函数,用它拟合了转化率 时间关系曲线,获得了聚合过程的重要特征参数,如平均成核速率（ Ｎ Ｖ） ,聚合最大速率（ Ｍ Ｖ） 和平稳期平均聚合速率（ Ａ Ｖ） 及成核结束和聚合进入完成期对应的转化率．同时对聚合速率与以上各聚合参数的关系数据进行了非线性拟合,得到了它们之间的关系式．研究发现拟合误差很小,成核结束时转化率在１５ ％ 以内,成核及聚合速率均随以上参数增大而增大,引发剂过硫酸铵在聚合过程中起决定作用．     

晶界结构及其对力学性质的影响(Ⅰ)

许多实验结果表明晶界对多晶材料的力学性能产生很大影响.本文简要总结了研究晶界结构及其对多晶材料力学性能的影响方面的理论和实验工作.第一部分介绍了描述晶界结构的各种模型,包括小角晶界位错模型,大角晶界重合点阵模型、O点阵模型和位移移动重位点阵理论,还讨论了晶界原子和电子结构,以及晶界结合力和晶界能.第二部分总结了晶界结构对力学性能的影响,包括强度,断裂韧度,蠕变,疲劳,沿晶断裂(应力腐蚀开裂,氢脆,液态金属腐蚀等).文中还介绍了最近发展起来的利用控制晶界结构改进多晶材料力学性能方面的新成果,晶界设计和毫微晶材料.      

Omega diffusion risk model with surplus-dependent tax and capital injections

In this paper, we propose and study an Omega risk model with a constant bankruptcy function, surplus-dependent tax payments and capital injections in a time-homogeneous diffusion setting. The surplus value process is both refracted (paying tax) at its running maximum and reflected (injecting capital) at a lower constant boundary. The new model incorporates practical features from the Omega risk model (Albrecher et al., 2011), the risk model with tax (Albrecher and Hipp, 2007), and the risk model with capital injections (Albrecher and Ivanovs, 2014). The study of this new risk model is closely related to the Azéma–Yor process, which is a process refracted by its running maximum. We explicitly characterize the Laplace transform of the occupation time of an Azéma–Yor process below a constant level until the first passage time of another Azéma–Yor process or until an independent exponential time. We also consider the case when the process has a lower reflecting boundary. This result unifies and extends recent results of Li and Zhou (2013) and Zhang (2015). We explicitly characterize the Laplace transform of the time of bankruptcy in the Omega risk model with tax and capital injections up to eigen-functions, and determine the expected present value of tax payments until default. We also discuss a further extension to occupation functionals through stochastic time-change, which handles the case of a non-constant bankruptcy function. Finally we present examples using a Brownian motion with drift, and discuss the pricing of quantile options written on the Azéma–Yor process.