Temporal Homogenization of Linear ODEs,with Applications to Parametric Super-Resonance and Energy Harvest

We consider the temporal homogenization of linear ODEs of the form \({\dot{x}=Ax+\epsilon P(t)x+f(t)}\), where P(t) is periodic and \({\epsilon}\) is small. Using a 2-scale expansion approach, we obtain the long-time approximation \({x(t)\approx {\rm exp}(At) \left( \Omega(t)+\int_0^t {\rm exp}(-A \tau) f(\tau) {\rm d}\tau \right)}\), where \({\Omega}\) solves the cell problem \({\dot{\Omega}=\epsilon B \Omega + \epsilon F(t)}\) with an effective matrix B and an explicitly-known F(t). We provide necessary and sufficient conditions for the accuracy of the approximation (over a \({{\mathcal{O}}(\epsilon^{-1})}\) time-scale), and show how B can be computed (at a cost independent of \({\epsilon}\)). As a direct application, we investigate the possibility of using RLC circuits to harvest the energy contained in small scale oscillations of ambient electromagnetic fields (such as Schumann resonances). Although a RLC circuit parametrically coupled to the field may achieve such energy extraction via parametric resonance, its resistance R needs to be smaller than a threshold \({\kappa}\) proportional to the fluctuations of the field, thereby limiting practical applications. We show that if n RLC circuits are appropriately coupled via mutual capacitances or inductances, then energy extraction can be achieved when the resistance of each circuit is smaller than \({n\kappa}\). Hence, if the resistance of each circuit has a non-zero fixed value, energy extraction can be made possible through the coupling of a sufficiently large number n of circuits (\({n\approx 1000}\) for the first mode of Schumann resonances and contemporary values of capacitances, inductances and resistances). The theory is also applied to the control of the oscillation amplitude of a (damped) oscillator.     

Photoswitchable nanoparticles for triggered tissue penetration and drug delivery

We report a novel nanoparticulate drug delivery system that undergoes reversible volume change from 150 to 40 nm upon phototriggering with UV light. The volume change of these monodisperse nanoparticles comprising spiropyran, which undergoes reversible photoisomerization, and PEGylated lipid enables repetitive dosing from a single administration and enhances tissue penetration. The photoswitching allows particles to fluoresce and release drugs inside cells when illuminated with UV light. The mechanism of the light-induced size switching and triggered-release is studied. These particles provide spatiotemporal control of drug release and enhanced tissue penetration, useful properties in many disease states including cancer.     

切向气流对激光辐照树脂基复合材料的影响

为了考察切向强迫气流对激光辐照下树脂基复合材料热响应的影响,基于边界层换热理论,研究了切向气流与靶面的对流换热系数和热分解气体对表面热交换的覆盖效应,并用有限差分法对激光辐照下树脂基复合材料的1维热响应模型进行数值求解。数值计算表明：高速切向气流的存在会加速靶材表面与外部环境的热交换,从而明显降低激光对靶材的加热效率;边界层换热理论给出的对流换热系数和覆盖因子是合理有效的,适用于数值模拟切向气流对激光辐照下树脂基复合材料热响应的影响;向靶材表面溢出的热分解气体对靶材表面与外部环境的热交换有一定的抑制作用,但影响较小,基本可以忽略不计。     

水母雪莲化学成分研究(Ⅰ)

从水母雪莲3地上部分分离出四种黄酮甙,经鉴定为柯伊利素7-O一β-D-葡萄糖甙、洋芹素7-O-β-D葡萄糖甙、木樨草素7-O-β-D-葡萄糖甙,芦丁。     

Hybrid phase at the quantum melting of the Wigner crystal

We study the quantum melting of the two-dimensional Wigner crystal using a fixed node quantum Monte Carlo approach. In addition to the two already known phases (Fermi liquid at large density and Wigner crystal at low density), we find a third stable phase at intermediate values of the density. The third phase has hybrid behaviors in between a liquid and a solid. This hybrid phase has the nodal structure of a Slater determinant constructed out of the bands of a triangular lattice.     

Super-Diffusivity in a Shear Flow Model¶from Perpetual Homogenization

This paper is concerned with the asymptotic behavior solutions of stochastic differential equations dy _t =dω _t −∇Γ(y _t ) dt, y ₀=0 and d=2. Γ is a 2 &\times; 2 skew-symmetric matrix associated to a shear flow characterized by an infinite number of spatial scales Γ₁₂=−Γ₂₁=h(x ₁), with h(x ₁)=∑ _{n =0} ^∞γ _n h ⁿ (x ₁/R _n ), where h ⁿ are smooth functions of period 1, h ⁿ (0)=0, γ _n and R _n grow exponentially fast with n. We can show that y ^t has an anomalous fast behavior (?[|y ^t |²]∼t ^1+ν with ν > 0) and obtain quantitative estimates on the anomaly using and developing the tools of homogenization. Received: 1 June 2001 / Accepted: 11 January 2002     

Simplification des cartes géographiques par minimisation de la déformation localeTerrain simplification by minimization of the local deformation

In cartography, the geographic regions are usually represented using regular dense maps corresponding to heights values associated with the nodes of a regular grid of R². The simplification of such maps is an absolute requirement in order to make storage, simulation and display possible. In this Note, we propose a new simplification method based on a measure of the local deformation of the surface. The latter allows, in particular, minimization of the approximation error during the simplification. A numerical example is provided to emphasize the efficiency of this approach. To cite this article: P.J. Frey, H. Borouchaki, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 227–232.     

Hybrid nanoparticle swirl flow due to presence of turbulator within a tube

Journal of Thermal Analysis and Calorimetry - The goal of the current attempt is to offer a new effective turbulator for increasing performance of a thermal system. Incorporating hybrid nanopowders...     

激光辐照下高反射镜热变形问题的尺度律

基于热力解耦的热弹性模型,采用常用假设,通过方程分析法,导出了激光辐照下高反射镜热变形问题的尺度律。同时,还发现了对同一模型,当其他条件不变时,变形、温升、应力与激光功率密度之间具有线性关系。数值结果证明了该问题尺度律的成立及线性关系的正确性。该结论是利用缩比模型研究大尺寸反射镜在激光辐照下的热变形问题的依据,且为解决缩比模型设计、辐照条件设计和模型实验数据反推到原型等相关问题提供了参考准则。