A modern approach to the solution and analysis of the Simha-Somcynsky model for the description of pressure-volume-temperature properties of polymer fluids

We revisit the Simha-Somcynsky model of polymer fluids with the purpose of developing novel theoretical and computational approaches to simplify and speed up its solution as well as the fitting of experimental data, and decrease its level of mathematical complexity. We report a novel method that allows us to solve one of the two equations of the model exactly, thus putting the level of mathematical difficulty on a par with the one of other models for polymer fluids. Moreover, we describe a computational algorithm capable of fitting all five parameters of the model in an unbiased way. The results obtained reproduce literature results and fit experimental pressure-volume-temperature and solubility parameter data for three polymers very accurately. Moreover, the new techniques allow for the investigation of the model at very low temperatures. Unexpectedly, the model predicts behaviors that could be interpreted as a glass transition, as routinely observed in dilatometry and differential scanning calorimetry, and a glass phase. We compared the predicted and experimental T g’s for cis poly(1,4-butadiene) and found an excellent quantitative agreement.     

Optical Properties of One-dimensional Three-component Photonic Band Gap Structure

1　IntroductionMaterialswithPhotonicBandGaps (PBG’s)havebeenwidelystudiedboththeoreticallyandex perimentallyinthepastfew years[1～ 4] .Theexis tenceofgaps,which prohibitthepropagationofelectromagnetic (EM )wavesinacertainrangeoffrequencies,canhavesignificantimpactsbothinsci enceandtechnology .Manypracticalapplicationsofthesestructureshavebeensuggestedanddemon strated ,suchasPhotonicCrystal (PC)microcavi ties[5] ,infraredPC[6] ,PClens[7] ,suppressingspontaneousemission ,manipulatinglight…     

论道英特尔无线通信发展策略——对话Kevin C.Kahn博士

2006年6月7日,以"创新科技,超越未来"为主题的"2006英特尔中国研究论坛"在北京召开.来自国内一流高校的600多位博士及硕士研究生,与英特尔公司的多位院士、高级科学家以及国内著名专家济济一堂,在浓郁的学术氛围中,共同交流IT业界前沿核心技术的研究进展.英特尔资深院士兼通信技术实验室总监Kevin Kahn博士展示了公司在无线通信领域的最新研发进展,包括英特尔在单一平台上支持更多无线通信数量所进行的技术和行业标准开发.     

全数字LCoS器件向业界发起挑战

一种命名为Carley的创新型全数字LCoS技术有望使价格低廉、品种繁多且易于扩缩的反射器件在市场上大行其道,这些器件将造就分辨率达1080p的低成本、宽屏高清晰度电视(HDTV)。     

研究性学习在高三教学中的实践与尝试--例析椭圆定义的教学

“素质教育轰轰烈烈 ,应试教育扎扎实实”,这是对长期以来的中学教育的真实写照 .特别是高三教学 :三年的内容二年光 ,三轮复习不可少 .第一轮 ,基础复习 ;第二轮 ,专题复习 ;第三轮 ,综合训练 .前二轮是学生被教师牵着走 ,后一轮是“熟能生巧”、低效高耗的题海战 .在这一轮又一轮的复习中 ,教师是越俎代疱 ,过度干预 ,忙于猜题押题 ;学生是既没头绪 ,又没有主动 ,只是埋头做题 ,穷于应付 .因此 ,使素质教育在严峻的就业、升学竞争面前 ,只好“望试兴叹”.那么 ,怎样才能走出应试教育的怪圈 ?或者说怎样才能反其道而行之 :在扎扎实实的应试…     

EXISTENCE OF PERIODIC SOLUTIONS OF SYSTEM OF DIFFERENCE EQUATIONS

This paper studies the nonautonomous nonlinear system of difference equationsΔx(n)=A(n)x(n)+f(n,x(n)),n∈Z,(*) where x(n)∈R~N,A(n)=(a_(ij)(n))N×N is an N×N matrix,with a-(ij)∈C(R,R) for i,j= 1,2,3,...,N,and f=(f_1,f_2,...,f_N)~T∈C(R×R~N,R~N),satisfying A(t+ω)=A(t),f(t+ω,z)=f(t,z) for any t∈R,(t,z)∈R×R~N andωis a positive integer.Sufficient conditions for the existence ofω-periodic solutions to equations (*) are obtained.     

钨点阵技术提高白炽灯泡的发光效果

一种精微的3D钨光电晶体点阵（TPCL）已经由Sandia国家实验室开发出来,并且试验证明了可以将白炽灯泡浪费的大多数红外能量（热能）转换为可见光的频率。该方法使用标准的MEMS改进技术,并且TPCL技术可以将目前灯泡的发光效率从5％提高到60％以上。     

贵金属与GaAs(110)界面上费米能级位置的测定

本文报道了用I-I＇法测量在超高真空中n型GaAs(110)解理面上制备的Cu、Ag、Au二极管的肖特基势垒高度,以及用同步辐射的软X射线光电子谱测定的Cu在n型GaAs(110)上界面费米能级的位置.两种方法的结果符合得很好.贵金属在n型GaAs(110)上界面费米能级的位置处于导带以下0.9±0.05eV处,相当于同样数值的势垒高度,并与缺陷模型中的施主能级的位置相对应.     

τ-CHEBYSHEV AND τ-COCHEBYSHEV SUBPSACES OF BANACH SPACES

The concepts of quasi-Chebyshev and weakly-Chebyshev and σ-Chebyshev were defined [3 - 7], andas a counterpart to best approximation in normed linear spaces, best coapprozimation was introduced by Franchetti and Furi^[1]. In this research, we shall define τ-Chebyshev subspaces and τ-cochebyshev subspaces of a Banach space, in which the property τ is compact or weakly-compact, respectively. A set of necessary and sufficient theorems under which a subspace is τ-Chebyshev is defined.