Dynamics of two trapped Brownian particles: Shear-induced cross-correlations

The dynamics of two Brownian particles trapped by two neighboring harmonic potentials in a linear shear flow is investigated. The positional correlation functions in this system are calculated analytically and analyzed as a function of the shear rate and the trap distance. Shear-induced cross-correlations between particle fluctuations along orthogonal directions in the shear plane are found. They are linear in the shear rate, asymmetric in time, and occur for one particle as well as between both particles. Moreover, the shear rate enters as a quadratic correction to the well-known correlations of random displacements along parallel spatial directions. The correlation functions depend on the orientation of the connection vector between the potential minima with respect to the flow direction. As a consequence, the inter-particle cross-correlations between orthogonal fluctuations can have zero, one or two local extrema as a function of time. Possible experiments for detecting these predicted correlations are described.     

Non-equilibrium relaxation and tumbling times of polymers in semidilute solution

The end-over-end tumbling dynamics of individual polymers in dilute and semidilute solutions is studied under shear flow by large-scale mesoscale hydrodynamic simulations. End-to-end vector relaxation times are determined along the flow, gradient, and vorticity directions. Along the flow and gradient directions, the correlation functions decay exponentially with sinusoidal modulations at short times. In dilute solution, the decay times of the various directions are very similar. However, in semidilute solutions, the relaxation behaviors are rather different along the various directions, with the longest relaxation time in the vorticity direction and the shortest time in the flow direction. The various relaxation times exhibit a power-law shear-rate dependence with the exponent -?2/3 at high shear rates. Quantitatively, the relaxation times are equal to the tumbling times extracted from cross-correlation functions of fluctuations of radius-of-gyration components along the flow and gradient direction.     

Horizontal coherence of low-frequency fixed-path sound in a continental shelf region with internal-wave activity

Sound at 85 to 450 Hz propagating in approximately 80-m depth water from fixed sources to a joint horizontal/vertical line array (HLA/VLA) is analyzed. The data are from a continental shelf area east of Delaware Bay (USA) populated with tidally generated long- and short-wavelength internal waves. Sound paths are 19 km in the along-shore (along internal-wave crest) direction and 30 km in the cross-shore direction. Spatial statistics of HLA arrivals are computed as functions of beam steering angle and time. These include array gain, horizontally lagged spatial correlation function, and coherent beam power. These quantities vary widely in magnitude, and vary over a broad range of time scales. For example, correlation scale can change rapidly from forty to five wavelengths, and correlation-scale behavior is anisotropic. In addition, the vertical array can be used to predict correlation expected for adiabatic propagation with cylindrical symmetry, forming a benchmark. Observed variations are in concert with internal-wave activity. Temporal variations of three coherence measures, horizontal correlation length, array gain, and ratio of actual correlation length to predicted adiabatic-mode correlation length, are very strong, varying by almost a factor of ten as internal waves pass.     

Long range correlation of hydrophilicity and flexibility along the calcium binding protein chains

Long range correlation concerning hydrophilicity and flexibility along a number of 80 calcium binding protein sequences is confirmed by using spectral analysis and detrended fluctuations analysis methods, as well as by Hurst exponent calculations. There are no significant differences between the correlation properties concerning these properties for the two structural subfamilies, extended and compact, of the calcium binding proteins and they are also similar with the correlation properties revealed by other investigated proteins. This result sustains the hypothesis that the long range correlation of hydrophilicity and flexibility along the chain is a common feature of proteins.     

X-ray evidence for a deformation of CDW during the sliding motion in K0.30MoO3

The wave vector and the correlation length of the CDW ordering in K_0.30MoO₃ are studied by x-ray diffraction as functions of electric fields applied along the one-dimensional axis. Several samples change their CDW-ordering above a threshold field. The change of the wave vector occurs mainly in the (2a¹-c¹) - direction, which is perpendicular to the one-dimensional b¹ - axis. It depends also on the field direction and magnitude. Time resolved x-ray experiments show that characteristic time of this change is of the order of 1 ms. The correlation length becomes longer along the (2a¹-c¹)-direction in the transient period.     

Anisotropic dc conductivity of pentagonal quasicrystals

The dc conductivity in the system with a fivefold rotational symmetry in theX-Y plane (QC plane) but having periodicity along theZ direction (C axis) are theoretically investigated from Kubo formula using the recursion method. Numerical results are suggestive of a metallic behavior for the dc conductivity in theQC plane as well as along theC direction, but these two kinds of dc conductivity are anisotropic in magnitude.     

Photoionization of a charged exciton in a GaAs/GaAlAs corrugated quantum well

Binding energies of a charged exciton as a function of well width of a GaAs/GaAlAs corrugated quantum well are investigated. The calculations have been performed by the variational method based on a two parametric trial wave function within a single band effective mass approximation. We have also included the effect of nonparabolicity of the conduction band of GaAs. We study the spectral dependence of the charged exciton in a GaAs/GaAlAs corrugated quantum well as a function of well width. The photoionization cross section for the charged exciton placed at the center of the quantum well is computed as a function of normalized photon energy. The cross-section behavior as a function of incident energy is entirely different in the two cases of radiation being x-direction (along the growth direction) or z-direction. The interband emission energy as a function of well width is calculated and the dependence of the photoionization cross section on photon energy is carried out for the charged excitons. The resulting spectra are brought out for light polarized along and perpendicular to the growth direction. The results show that the charged exciton binding energy, interband emission energy and the photoionization cross section depend strongly on the well width. Our results are compared with the other existing literature available.     

Theory of the excitonic polariton of the quantum well

The polariton mode associated with the exciton of the quantum well structure fabricated in the semiconductor is investigated theoretically. In the long wavelength limit, the mode for the symmetric well is classifiedby the direction of the polarization: along the normal of the structure, parallelto the direction of the propagation along the structure, perpendicular to both the direction. The dispersion relation is derived and illustrated numerically for each mode.     

LiNbO3晶体在室温—130℃的锥光干涉及折射率的异常

研究了纯及掺杂LiNbO₃(下简写为LN)晶体z向通光的锥光干涉图。纯LN,在45℃和75℃附近,双折射率均有异常变化,晶体由单轴变为双轴晶。掺杂(Fe,Cr,Cu)LN也有类似的变化,但变化的温度范围被加宽。分别测量了折射率n₀和n_e,在这两个温度附近有异常跳变。通过与x方向加电场的室温锥光图相比较,可以认为在75℃附近的双折射异常变化是相当于离子位移在x方向产生10⁵V/m量级的内电场所引起的。 关键词：     

Magnetostriction relative to pretransition in Ni50.5Mn24.5Ga25 single crystal

The strain behaviors as well as the structural and magnetic changes relative to the pretransition in the Ni_50.5Mn_24.5Ga₂₅ single crystals have been characterized by various methods, such as pretransition strain, magnetostriction, magnetization measurements, and TEM observations. A large magnetostriction up to 505 ppm measured in the [001] direction of the sample is obtained at the pretransition temperature with only a low magnetic field of about 1 kOe applied along the [010] direction. We found that not only the pretransition strain pronounces a more large change, but also the magnetostriction at a certain temperature exhibits a more large magnitude for field applied along the [010] direction than with field along the [001] direction. It is concluded that the magnetoelastic interaction is responsible for the premartensitic transition, and the magnetoelastic interaction in the [010] direction is stronger than that in the [001] direction.     

外电场下应变量子阱中电子与空穴的本征态

考虑自发与压电极化引起的内建电场,自由电子-空穴气屏蔽效应和外加电场,基于常微分数值计算,自洽求解电子与空穴的薛定谔方程和泊松方程以获得基态能级。以典型的GaN/A lxGa1-xN纤锌矿氮化物应变量子阱为例,通过数值求解,得到电子与空穴的本征基态能和相应本征波函数。计算结果表明:沿量子阱生长方向所施加的外加电场将抵消阱中内建电场的作用,阱结构的弯曲程度略显平缓,使电子(空穴)本征波函数逆(顺)着外电场方向移动,且均向阱中心移动,波峰峰值增加,隧穿几率减小;在固定外电场情况下,电子与空穴基态能级随阱宽的增加而减小,随掺杂组分的增加而增加,表明外加电场对内建电场有所削弱以及量子限制作用对电子(空穴)基态能有显著的影响。     

Path-integral analysis of propagation in a waveguide with random inhomogeneities

The method of path integration is applied to the analysis of wave propagation in both a graded-index optical waveguide and in an otherwise homogeneous infinite medium whose refractive indices have random statistical inhomogeneities superposed upon a regular variation of refractive index with suitable averaged properties. The authors use techniques originally employed in the context of electron propagation in a set of random scatterers to calculate the averaged Green function describing paraxial wave propagation in a medium whose refractive index has statistical inhomogeneities. The concept of an averaged density of modes is introduced, and the paper presents detailed calculations of this quality for two limiting case. In the first, the correlation length associated with the distribution of inhomogeneities is zero along the direction of propagation. In the second, the Feynman variational technique is used to describe the propagator in a medium whose statistical inhomogeneities have an infinite correlation length along the direction of propagation. Comments are made about the intermediate case which is of greater relevance to real waveguides.     

声子晶体中的半狄拉克点研究

在本文中, 构建了一种易于实现的二维声子晶体: 截面为正方形的铁柱以三角晶格形式排列在水中. 研究发现, 在此声子晶体的布里渊区中心Γ点有半狄拉克点出现: 其带结构沿ΓY方向是线性的, 但沿着ΓX方向却是二次型的. 若散射体绕中心轴旋转角度θ = 45°, 则半狄拉克点的二次型带结构则会转至ΓY方向, 与ΓX相互垂直. 接着, 本文采用k· p 微扰法系统研究了在不同旋转角θ 值下, 简并点附近的带结构特点, 并在此基础上分析了半狄拉克点的出现原因. 在半狄拉克点附近, 以布洛赫简并态为基矢, 文中构造了一个有效哈密顿量, 根据它能准确计算贝利相位, 并发现其值为零. 此外, 通过有限元仿真, 还研究了在半狄拉克点频率附近声波沿着不同方向穿过该声子晶体的透射现象. 本文可以为经典体系中半狄拉克点色散关系的起源、有关传播性质的研究以及其在声子晶体的应用提供理论参考.     

Isotopic fingerprint of electron-phonon coupling in high-Tc cuprates

Angle-resolved photoemission spectroscopy with low-energy tunable photons along the nodal direction of oxygen isotope substituted Bi(2)Sr(2)CaCu(2)O(8+delta) reveals a distinct oxygen isotope shift near the electron-boson coupling "kink" in the electronic dispersion. The magnitude (a few meV) and direction of the kink shift are as expected due to the measured isotopic shift of phonon frequency, and are also in agreement with theoretical expectations. This demonstrates the participation of the phonons as dominant players, as well as pinpointing the most relevant of the phonon branches.     

Time evolution of average rotation axis directions and mean rotation angles of pressurized liquid methyl iodide by molecular dynamics simulation

The rotational motion of liquid methyl iodide has been modelled by molecular dynamics simulations under input parameters optimized from literature values to yield the experimental enthalpy of vaporization and permanent dipole moment of the molecule. First, it is shown that results describing the correlation function of the tumbling motion of the molecules agree reasonably well with some corresponding findings from a spectroscopic Raman study. Second, the rotational motion involving the spinning component around the molecule's symmetry axis was simulated, an effect inaccessible by experiment. Third, and most relevant to the author's interests, a group-theoretical formalism was used that generates the time evolution of the average direction of the average rotation axis as well as the mean rotation angle around it. This approach allowed a more realistic understanding of the effects of density and temperature on molecular rotational motion, as well as a better quantification of the influence of short-time inertial decay, than the common approach of studying orientational correlation data along permanently molecule-fixed axis directions. Fourth, site–site radial distribution functions between neighbouring molecules were simulated, establishing a shielding effect that prevents a carbon atom from approaching any other site by their closest distance.     

数字散斑相关方法及其在碳纤维复合材料压力容器变形测量中的应用

提出了一种新的基于图像灰度梯度迭代的数字散斑相关方法(DSCM,digital speckle correlation method)。通过使用DSCM测量碳纤维复合材料压力容器在水压下的局部区域的位移场和应变场,分析了复合材料压力容器的轴向和环向的变形特征,为碳纤维复合材料压力容器的优化设计提供了理论和实验依据。     

可调抛光型光纤耦合器对位公差的分析

本文导出可调抛光型光纤耦合器在上、下石英基块出现纵向或横向位移及立体交角时的耦合功率公式,从而给出各种可调抛光型光纤耦合器的对位公差和设计依据.     

The muon capture in <Superscript>16</Superscript>O: the angular and polarization correlations

Longitudinal polarization of the daughter nuclei ¹⁶N which arises in μ⁻ capture on ¹⁶O as a function of the recoil angle, together with the angular distribution and the alignment of the recoil nucleus are calculated. The neutrinos born escape mainly along the muon spin. The polarization is found to vary from zero (recoil momentum counter to the muon spin direction) up to 50% (along the muon spin direction). The results can be applied to the experimental tests of T conservation, to the analysis of the projects of constructing the powerful mono-energetic neutrino sources, to the experimental study of the pseudo-scalar form factor and the K-electron capture, and to other spin-polarization correlation experiments.     

α—SiC晶体中的位错

用腐蚀法和X射线形貌术研究了α-SiC晶体中的位错。所用的腐蚀剂为熔融氢氧化钾。证实了尖底蚀坑与位错的一一对应关系。由于[0001]方向的螺型位错的Burgers矢量比刃型位错的Burgers矢量大得多,故可从蚀坑的深浅来判别螺型位错和刃型位错。给出了蚀坑形状和多型体晶体结构的对应关系。研究了表面生长蜷线的形态与SiC晶体中的位错及位错运动的关系。X射线形貌图显示了α-SiC晶体中相当数量的位错处于基面C面上。生长位错从晶体“根部”成核并随着晶体生长前沿的向前推进而延伸,因而位错线的方向常常沿[101O]和[1120]方向。将腐蚀法和X射线形貌术结合起来才能全面显示α-SiC晶体中的位错。 关键词：     

Negative linear compressibility of generic rotating rigid triangles

The compressibility properties of systems consisting of generic rotating rigid triangles are analyzed and discussed.It is shown that these systems which are usually associated with auxeticity can exhibit strongly anisotropic properties for certain conformations, which may give rise to the anomalous property of negative linear compressibility(NLC), that is, the system with particular geometry will expand along one direction when loaded hydrostatically. It is also shown that through carefully choosing the geometric features(i.e. the dimensions and the alignment of the rotating triangles as well as the angles between them) and the direction along which the linear compressibility is measured, one may control the magnitude and range of the NLC. All this provides a novel but effective method of manufacturing the systems which can be tailored to achieve particular values of NLC to fit particular practical applications.