Bouncing universe models in an extended gravity theory

Some bouncing models are investigated in the framework of an extended theory of gravity. The extended gravity model is a simple extension of the General Relativity where an additional matter geometry coupling is introduced to account for the late time cosmic speed up phenomena. The dynamics of the models are discussed in the background of a flat FRW universe. Some viable models are reconstructed for specifically assumed bouncing scale factors. The behavior of the models are found to be decided mostly by the parameters of the respective models. The extended gravity based minimal matter-geometry coupling parameter has a role to remove the omega singularity occurring at the bouncing epoch. It is noted that the constructed models violate the energy conditions, however, in some cases this violation leads to the evolution of the models in phantom phase. The stability of the models are analyzed under linear homogeneous perturbations and it is found that, near the bounce, the models show instability but the perturbations decay out smoothly to provide stable models at late times.     

Exponential Stability for Time-changed Stochastic Differential Equations

Acta Mathematicae Applicatae Sinica, English Series - So far there have been few results presented on the exponential stability for time-changed stochastic differential equations. The main aim of...     

Construction of a novel ZnCo2O4/Bi2O3 heterojunction photocatalyst with enhanced visible light photocatalytic activity

A novel ZnCo₂O₄/Bi₂O₃ heterojunction photocatalyst was prepared via balling method. The enhanced photocatalytic activity is mainly attributed to the broad photoabsorption and low recombination rate of photogenerated electron-hole pairs, which is driven by the photogenerated potential difference formed at the ZnCo₂O₄/Bi₂O₃ heterojunction interface.     

An improved implicit method with dissipation control capability: The simple generalized composite time integration algorithm

In this paper, a simple and accurate implicit composite time integration scheme is newly developed for more efficient transient analyses of structural problems. The new scheme does not require the acceleration vector of the previous time step, and the initial acceleration vector is not needed, either. As a result, the factorization of the mass matrix is unnecessary, while factorizations of the effective coefficient matrix are still needed. Besides, the new method is designed to possess controllable algorithmic dissipation. Despite the absence of the acceleration vector of the previous time step, the numerical performance of the new method is equivalent to those of the existing methods. The excitation of an elastic bar problem and the simple nonlinear pendulum problem are numerically analyzed for the test of the new scheme. In the numerical experiments, the effects of consistent and lumped mass matrices are also discussed.     

Controllable annulus micro-/nanostructures on copper fabricated by femtosecond laser with spatial doughnut distribution

In this study,we propose an effective method for the fabrication of annulus micro-/nanostructures by a femtosecond laser doughnut beam.Compared with the traditional Bessel annulus beam shaping system,this method greatly compresses the light propagation path.It is theoretically and experimentally demonstrated that the obtained axial section of the peak envelope in the processing area is two waists of the isosceles triangle.By moving the relative position of the sample,annulus microstructures with different diameters on copper sheet could be fabricated.In addition,laser induced periodic surface structures with controllable direction are fabricated by this optical system.     

大断面隧道钻爆冲击波的衰减规律

隧道开挖爆破产生的空气冲击波的破坏效应，将会对人员、机具设备与周围环境造成危害。隧道钻孔爆破冲击波的影响因素比裸露药包爆炸更多、更复杂，研究其衰减规律对采取合适的防护措施意义重大。本文中开展了时速350 km双线铁路大断面隧道钻孔爆破空气冲击波的现场测试，分析了不同工况下冲击波传播规律及影响因素。结果表明:钻爆冲击波超压时程曲线存在多个不同幅值的超压波峰，波峰之间具有明显微差延时的短间隔性，传播至远场未形成稳定的单一平面波，与单一药包爆炸冲击波的传播规律存在差异；钻爆冲击波超压信号由多段与微差延时相对应的子信号叠加而成，子信号数量与毫秒延期雷管段数相同，呈现出典型的时域特征；相同爆破条件下，大断面隧道钻爆时的乳化炸药冲击波转化因数小于小断面巷道工况下的；相较于总药量及最大段药量，按掏槽药量计算的超压峰值与实测超压峰值之间的相关性最强，钻爆冲击波最大超压峰值宜按掏槽段炸药TNT当量确定；隧道内大型机械设备等障碍物改变了钻爆冲击波流场的传播规律，呈现较明显的叠加放大效应。