Stretching instability of intrinsically curved semiflexible biopolymers: A lattice model approach

We apply a Monte Carlo simulation method to lattice systems to study the effect of an intrinsic curvature on the mechanical property of a semiflexible biopolymer.We find that when the intrinsic curvature is sufficiently large,the extension of a semiflexible biopolymer can undergo a first-order transition at finite temperature.The critical force increases with increasing intrinsic curvature.However,the relationship between the critical force and the bending rigidity is structuredependent.In a triangle lattice system,when the intrinsic curvature is smaller than a critical value,the critical force increases with the increasing bending rigidity first,and then decreases with the increasing bending rigidity.In a square lattice system,however,the critical force always decreases with the increasing bending rigidity.In contrast,when the intrinsic curvature is greater than the critical value,the larger bending rigidity always results in a larger critical force in both lattice systems.     

Explicit Relations of Physical Potentials Through Generalized Hypervirial and Kramers' Recurrence Relations

Based on a Hamiltonian identity,we study one-dimensional generalized hypervirial theorem,Blanchardlike(non-diagonal case) and Kramers'(diagonal case) recurrence relations for arbitrary x~κ which is independent of the central potential V(x).Some significant results in diagonal case are obtained for special κ in x~κ(κ≥ 2).In particular,we find the orthogonal relation(n_1|n_2) = δ_(n_1n_2)(κ = 0),(n_1|V'(x)\n_2) =(E_(n_1)-E_(n_2))~2〈n_1x|n_2)(κ = 1),E_n =(n/V'(x)x/2|n) +(n|V(x)|n)(κ = 2) and-4E_n(n|x|n) +(n|V'(x)x~2\n〉 +4〈n|V(x)x|n〉 = 0(κ = 3).The latter two formulas can be used directly to calculate the energy levels.We present useful explicit relations for some well known physical potentials without requiring the energy spectra of quantum system.     

Excluded volume reduced mechanical stability for an intrinsically curved biopolymer

We find that the excluded volume interaction (EVI) can accelerate an abrupt transition in extension for an intrinsically curved two-dimensional semiflexible biopolymer. It makes the transition much sharper, reduces the critical force remarkably, and the larger the persistent length or the intrinsic curvature, the larger the reduction in critical force. The transition is caused by a collective change in bending angles associated with removing cusps owing to thermal fluctuation. Our results reveal that EVI can excite a cooperative behavior, straighten more bonds simultaneously so cause a sharper transition. The transition is dominated by the mechanical force because the specific heat does not divergence. Our findings suggest that an intrinsically curved biopolymer can act as a switch or sensor in some biological processes.     

锐钛矿金红石的高温原位X射线衍射研究

对TiO₂粉末进行了空气和真空条件下从室温到1200℃的加热原位X射线衍射实验, 得到了空气和真空条件下微米级锐钛矿颗粒转变为金红石的起始温度分别为850℃ 和855℃; 分别修正了空气条件下锐钛矿在(27–850℃)范围和金红石在(900–1200℃) 范围内的晶胞参数和真空条件下锐钛矿在(27–850℃)范围和金红石在(950–1200℃) 范围的晶胞参数, 从而得到了晶胞参数随温度变化的关系, 得到了锐钛矿和金红石在空气中和真空中的热膨胀系数, 并总结了热膨胀系数随温度变化的规律. 室温下锐钛矿在空气条件下的热膨胀系数为 α_a=4.55063×10^-6/℃, α_c=7.7543×10^-6/℃, β=16.85836×10^-6/℃; 真空下为 α_a=4.69429×10^-6/℃, α_c=9.02850×10^-6/℃, β=18.69688×10^-6/℃. 室温下, 金红石在空气条件下的热膨胀系数为 α_a=6.81243×10^-6/℃, α_c=8.71644×10^-6/℃, β=22.22178×10^-6/℃; 真空条件下为 α_a=6.05834×10^-6/℃, α_c= 8.39280×10^-6/℃, β=20.52362×10^-6/℃. 关键词： 2')" href="#">TiO₂ 原位X射线衍射 相转变 热膨胀     

Cutoff wavelength of single-mode fibers: Definition, measurement, and length and curvature dependence

The cutoff wavelength λ_c as defined by the CCITT can be defined equivalently as that wavelength for which the attenuation of the second-order LP₁₁ mode is 19.34 dB higher than the attenuation of the fundamental mode. This equivalent definition of λ_c does not depend on the length and curvature of the fiber. Both measuring methods for λ_c, the bending method and the multimode reference method, are analyzed and the measurement conditions that lead to the CCITT cutoff wavelength are indicated. The bend attenuation of the second-order mode of a typical matched-cladding, step-index fiber is calculated numerically, and methods are described to determine the length and curvature dependence of the cutoff wavelength from the bend loss data.     

化学气相沉积中影蔽效应对硅薄膜表面形貌和微结构的影响

采用斜入射热丝化学气相沉积技术(OAD-HWCVD),研究了气流入射角度(θ)对氢化非晶硅(a-Si:H)薄膜表面和微结构的影响.实验发现,薄膜厚度为1μm时,均方根粗糙度与tanθ成指数关系;在入射角度为75°时,薄膜表面由自仿射表面转变为mound表面.采用拉曼谱和红外谱表征了硅薄膜的微结构随气流入射角度的变化.在薄膜转变为mound表面生长之前,随入射角度的增加,准局域的影蔽效应使得薄膜中微空洞的数目及尺寸增加,导致薄膜微结构因子升高、致密度下降、薄膜质量变差.在薄膜转变为mound表面生长之后,非局域的影蔽效应导致大尺度的空洞,同时薄膜中以Si-Hn(n 2)形式存在的氢增多.本文以非晶硅薄膜为例,结合标度理论,分析了薄膜生长过程中的表面形貌和微结构与影蔽效应的关系.     

2+1维刻蚀模型生长表面等高线的共形不变性研究

为了更全面、有效地研究刻蚀模型(etching model)涨落表面的统计性质,基于Schramm Loewner Evolution(SLEκ)理论,对2+1维刻蚀模型饱和表面的等高线进行了数值模拟分析.研究表明,2+1维刻蚀模型饱和表面的等高线是共形不变曲线,可用Schramm Loewner Evolution理论进行描述,且扩散系数κ=2.70±0.04,属κ=8/3普适类.相应的等高线分形维数为df=1.34±0.01.     

极化检测型铷原子磁力仪的研究

针对交变弱磁场的检测,研制了一种基于极化-检测双光束结构的激光抽运铷原子磁力仪.为了获得该磁力仪对磁场的响应特性,通过数值仿真分析了信号幅度随极化磁场强度、弛豫时间的变化关系,并进行了实验验证.最后通过选择合适的极化磁场使磁力仪对待测磁场的灵敏度最大.实验结果表明,优化后磁力仪灵敏度为0.2pT/(Hz)~(1/2),响应带宽3.5kHz,可用于弱磁场磁共振、高频异常物理现象等信号的检测.     

Multimegawatt relativistic harmonic gyrotron traveling-wave tubeamplifier experiments

The first multimegawatt (4 MW, η=8%) harmonic (ω=sΩ_c, s=2,3) relativistic gyrotron traveling-wave tube (gyro-twt) amplifier experiment has been designed, built, and tested. Results from this experimental setup, including the first ever reported third-harmonic gyro-twt results, are presented. Operation frequency is 17.1 GHz. Detailed phase measurements are also presented. The electron beam source is SNOMAD-II, a solid-state nonlinear magnetic accelerator driver with nominal parameters of 400 kV and 350 A. The flat-top pulsewidth is 30 ns. The electron beam is focused using a Pierce geometry and then imparted with transverse momentum using a bifilar helical wiggler magnet. The imparted beam pitch is a α≡β_⊥/β_∥≈1. Experimental operation involving both a second-harmonic interaction with the TE₂₁ mode and a third-harmonic interaction with the TE ₃₁ mode, both at 17 GHz, has been characterized. The third-harmonic interaction resulted in 4-MW output power and 50-dB single-pass gain, with an efficiency of up to ~8% (for 115-A beam current). The best measured phase stability of the TE₃₁ amplified pulse was ±10° over a 9-ns period. The phase stability was limited because the maximum RF power was attained when operating far from wiggler resonance. The second harmonic, TE₂₁ had a peak amplified power of 2 MW corresponding to 40 dB single-pass gain and 4% efficiency. The second-harmonic interaction showed stronger superradiant emission than the third-harmonic interaction. Characterizations of the second- and third-harmonic gyro-twt experiments presented here include measurement of far-field radiation patterns, gain and phase versus interaction length, phase stability, and output power versus input power     

Λc重子谱疑难(英文)

Λ_c+重子家族存在一个疑难,也就是重夸克有效理论预言的轨道角动量为L=2的多重态中JP=3/2+的态在实验上是缺失的,而且已发现的Λ_c（2765）+和Λ_c（2940）+的JP量子数仍然未知。在本工作中,我们使用双夸克图像计算了重子的质量,研究了Λ_c（2765）+和Λ_c（2940）+的可能归类以及仍缺失的具有L=2和JP=3/2+量子数的Λ_c+态,进而指出Λ_c（2880）+的峰结构中实际上已经包含了L=2、JP=3/2+这一缺失态,并建议Λ_c（2765）+和Λ_c（2940）+的量子数应分别为2S（1/2+）和2P（1/2-）。There is a puzzle in the Λ_c+ family, i.e., one member with JP=3/2+ is missing in a L=2 multiplet which the heavy quark effective theory predicts, and JP's of Λ_c(2765)+ and Λ_c(2940)+ are unknown. Using a light diquark picture to calculate baryon masses, we study possible assignments of two Λ_c's with unknown JP and the missing Λ_c+ with 3/2+ for L=2, and we find the most probable possibility that the peak corresponding to Λ_c(2880)+ actually includes a missing member with spin 3/2+ for L=2 and that quantum numbers of Λ_c(2765)+ and Λ_c(2940)+ are 2S(1/2+) and 2P (1/2-), respectively.     

Equilibrium dynamics of the sub-Ohmic spin-boson model under bias

Using the bosonic numerical renormalization group method, we studied the equilibrium dynamical correlation function C(ω) of the spin operator σ_z for the biased sub-Ohmic spin-boson model. The small-ω behavior C(ω) ∝ω~s is found to be universal and independent of the bias ε and the coupling strength α(except at the quantum critical point α = αc and ε = 0). Our NRG data also show C(ω) ∝χ~2ω~s for a wide range of parameters, including the biased strong coupling regime(ε = 0 and α α_c), supporting the general validity of the Shiba relation. Close to the quantum critical point αc,the dependence of C(ω) on α and ε is understood in terms of the competition between ε and the crossover energy scale ω_0~*of the unbiased case. C(ω) is stable with respect to ε for ε《ε~*. For ε》ε~*, it is suppressed by ε in the low frequency regime. We establish that ε~*∝(ω_0~*)~(1/θ)holds for all sub-Ohmic regime 0≤s 1, with θ = 2/(3s) for 0 s≤1/2 and θ = 2/(1 + s) for 1/2 s 1. The variation of C(ω) with α and ε is summarized into a crossover phase diagram on the α–ε plane.     

Anisotropic dielectric properties of PbYb1/2Ta1/2O3 single crystals

PbYb_1/2Ta_1/2O₃ single crystals were obtained for the first time. They were grown by the flux method. The PbOPbF₂B₂O₃ system was used as a solvent. Dielectric investigations were carried out in 1 0 0_c, 1 1 0_c and 1 1 1_c pseudocubic directions. These studies pointed to anisotropy of dielectric properties. Frequency-independent ε′(T) and ε″(T) maxima related to the antiferroelectric–paraelectric (AFE—PE) phase transition are observed for all directions at 562 K. The frequency-dependent ε′(T) and ε″(T) maxima near 400 K related to the ferroelectric (FE)–AFE phase transition are observed only in 1 1 1_c direction. The hysteresis loops were observed in this direction only. These results point that ferroelectric relaxor properties appear only in 1 1 1_c direction. We propose to consider the ferroelectric phase as ferrielectric one.     

半刚性高分子链螺旋结构诱导纳米棒的有序结构

在自然界中, 螺旋结构广泛存在. 在熵的驱动下, 高分子链能在某些特殊情形下形成螺旋结构. 采用分子动力学方法研究了高分子链诱导纳米棒的自组装行为, 发现纳米棒/高分子链体系的构象与纳米棒的数量、高分子链的刚性等密切相关. 当纳米棒与高分子链之间存在适度吸附能时, 纳米棒能够形成三种完全不同的构象, 特别是在半刚性高分子链诱导下纳米棒能够形成线型排列. 研究结果对新型材料制备具有一定指导意义.     

Computer simulations of ion scattering and recoiling blocking patterns for surface structure analysis

A three-dimensional classical ion trajectory simulation code has been developed and applied to ion scattering and recoiling patterns on a large-area detector. The test systems used for the patterns were as follows: (1) Pt{110})-(1 × 2) and −(1 × 3) as an example of a reconstructed metal surface; (2) Ni{100}, {110}, and {111} surfaces as an example of different crystal faces: and (3) Ni{110}−(2 × 1)−O as an example of adsorbate recoiling. The optimum experimental configurations for collecting data for structural analysis have been considered. Three configurations have been identified; these include collection of both in- and out-of-plane scattering and recoiling data. The anisotropic patterns obtained for the scattered I_S, and recoiled I_R flux in azimuthal δ and exit β angle space are produced by blocking cones and are unique for the specific substrate and adsorbate structures. Critical exit β_c and azimuthal δ_c angles can be identified from these patterns. The interatomic spacings d along specific azimuths are determined from measurements of β_c and δ_c. Simulated patterns for the three test systems listed above are presented and their features are analyzed in terms of the surface structures. The advantages and new features available through the use of large-area detectors are described and compared to conventional ion scattering spectrometry (ISS). In the case of Pt, for which comparable experimental scattering data are available, the agreement between simulations and experimental results is good.     

CeFe_(2-x)In_x合金磁性研究与CeFe_(1.95)In_(0.05)合金磁相变临界参数分析

通过等温磁化曲线和等磁场变温曲线测量与标度理论,系统研究了CeFe_(2-x)In_x合金的磁性和CeFe_(1.95)In_(0.05)合金的磁相变临界参数.结果表明:用2.5 at.%的铟替代CeFe_2合金中的铁并不能使合金中的反铁磁态在低温下完全稳定,低场下在2—80 K均能观察到反铁磁相振荡; CeFe_2与CeFe_(1.95)In_(0.05)合金的顺磁-铁磁二级相变居里温度均在230 K附近;在0—5 T磁场范围内, CeFe_(1.95)In_(0.05)合金居里温度处的最大磁熵变为3.13 J/(kg·K),相对制冷量为151.3 J/kg.通过不同方法得到的具有高度自洽性的磁相变标度临界参数均表明CeFe_(1.95)In_(0.05)合金的磁相互作用可以用基于短程相互作用的3D-Ising模型来描述.     

Yb3+/Er3+共掺(MLaFn)x(M=0,K;n=3,4;x=1,1.5)纳米材料的控制合成及其上转换发光性质

采用水热与溶剂热结合的方法,在乙二醇-正己醇体系中,通过调节KF与RE(RE=La,Yb,Er)的量比、反应温度和反应时间实现了由LaF_3(六角相)到KLaF_4(立方相、六角相)晶型的控制合成。借助透射电子显微镜(TEM)和X射线粉末衍射(XRD)对样品的结构和微观形貌进行表征。结果表明,当KF/RE比例为2. 25时,制备的样品为片状的六角相LaF_3纳米颗粒;当KF/RE比例为3. 00时,得到具有近似球形的立方相KLaF_4纳米颗粒;当KF/RE比例为4. 25时,得到了六角相(KLaF_4)_(1. 5)纳米颗粒。上转换发射光谱显示:所有的样品在近红外光(980 nm)激发下,均有3个明显的发射峰,在522 nm、544 nm处分别对应于Er~(3+)的~4S_(3/2),~2H_(11/2)→~4I_(15/2)能级跃迁,655 nm处属于Er~(3+)的~4F_(9/2)→~4I_(15/2)能级跃迁。     

EFFECT OF THE INERTIAL TERM ON THE CDW TRANSPORT PROPERTIES I. ANALYTIC DEMONSTRATION FOR EXISTING OF THE SUBHARMONIC STEPS DUE TO THE INERTIAL TERM

Including the inertial term and using the singular perturbation method, we solved analy tically the eqtiation of motion for the CDW system βφ+φ-sinφ=e₀+e₁ cosωt in the classical particle model under approximation β << 1 and e₁ << L. The existence of the subharmonic steps has thus been directly demonstrated in good agreement with the experiments on the CDW system.     

Mn掺杂后三元黄铜矿结构半导体CuInTe2的缺陷特征与热电性能

三元黄铜矿结构(也称类金刚石结构)半导体是一类具有热电转换潜力的新型热电材料. 本次工作中采用电负性更小的Mn元素替换CuInTe₂黄铜矿结构半导体中的Cu元素, 设计制备贫Cu化合物Cu_1-xInMn_xTe₂. 研究表明, 当Mn含量较低时, Mn优先占位在In 位置产生受主缺陷Mn_In^-. 因此随着Mn含量的增大, 载流子浓度和电导率均得到改善. 但当Mn含量进一步增大后, Mn可同时占位在In位置和Cu位置, 除产生受主缺陷Mn_In^-外, 还能产生施主缺陷Mn_Cu⁺. 由于两类极性相反的缺陷之间的湮灭现象, 使得缺陷浓度及载流子浓度开始降低, 晶格结构畸变有变小趋势, 因此在高温下晶格热导率仅略有提高. 研究结果表明, 在某一特定的Mn含量(x=0.05)时, 材料具有最优的热电性能(ZT=0.84@810.0 K), 这一性能约是未掺杂CuInTe₂的2倍.     

烧结β型Ti-Nb合金中由间隙原子引起的Snoek弛豫

用粉末冶金方法制备了不同Nb含量的Ti-Nb合金.用美国TA仪器公司的动力学分析仪Q800以单臂振动模式研究了不同Nb含量和不同热处理以及不同测量参数下的Ti-Nb合金的内耗行为,用X-射线衍射检测了不同样品的微观结构.实验表明,在水淬的和烧结态的Ti-Nb合金的内耗-温度曲线上均发现了弛豫型的内耗峰,这个内耗峰的高度与Nb含量有关,在低Nb含量的Ti-Nb合金样品中不出现,水淬样品内耗峰的最大值出现在Ti-35.4 wt.%Nb (以下称Ti-35.4Nb)的合金中,烧结态样品的内耗峰高度在实验成分范围内单调地随Nb含量而增加.水淬的Ti-35.4Nb合金的弛豫参数分别是激活能H_(wq)=(1.67±0.1) eV和指数前因子τ_(0wq)=1.1×10~(-17±1) s.另外,内耗峰的高度也与热处理有关,水淬的Ti-35.4Nb合金比具有相同成分的烧结态的合金的内耗峰高得多,淬火温度对内耗峰高度也有影响.研究发现,这个内耗峰与Ti-Nb合金中的β相有关,峰高取决于β相的稳定性及其含量,当β相的稳定性降低以及β相的量增加时,峰高增加.水淬Ti-35.4Nb合金中的β相是亚稳状态的β相(β_M),时效时β_M能转变成稳定的α相和稳定β相(β_S),烧结态合金中的β相是β_S.不同热处理状态下Ti-35.4Nb合金样品的微观结构的不同导致了内耗峰高度的差别.从微观结构分析,在淬火的合金中,峰高最大值出现在35 wt.%Nb含量附近的现象是由β相的稳定性和β_M相的量随Nb含量变化引起的.在烧结态的Ti-Nb合金中,峰高单调地随Nb含量的增加而增加的情况是由β_S的量决定的.在循环应力作用下,β_M或β_S相晶格点阵中氧原子的跳动和氧原子与替代原子的相互作用是产生内耗峰的根源.     

悬链曲面上的点粒子动力学及扩展空间约束系统量子化

扩张型正则量子化方案的核心内容是位置、动量以及哈密顿量同时量子化. 通过分析悬链面上粒子的扩张型正则量子化方案, 并且与薛定谔理论进行比较, 发现内禀几何中二维悬链面给不出与薛定谔理论相一致的结果, 而考虑将二维悬链面嵌入在三维欧氏空间之后, 还需要将正则量子化方案进行扩张, 可以得到体系的几何势能和几何动量, 并与薛定谔理论相一致.