垂直载荷下颗粒物质的声波探测和非线性响应

对于玻璃珠组成的颗粒介质样品,本文测量了横波和纵波声速,同时分析了剪切模量(G)与体积模量(B)的比值(G/B)随压强的变化规律.结果表明,在低压强下,颗粒体系的纵波声速(C_L)明显大于横波声速(c_T),且体系的CL,CT及G/B均随压强p变化呈幂律标度,即CL∝p~(0.3817),CT∝p~(0.2809)G/B∝p~(-0.4539),幂指数与文献[1]中预言的-1/2非常接近,暗示在我们实验压强范围内的颗粒样品处于L玻璃状态.此外,本文还利用快速傅里叶变换法测量了玻璃珠样品中的声学衰减特性及二阶谐波随压强的变化,发现:纵波声衰减系数(α)、接收端二倍频振幅(μ_(2ω))与基频振幅(μ_(1ω))平方的比值(μ_(2ω)/μ_(1ω)~2)均随压强的增大而幂率减小,分别为α∝p~-(-0.1879),和μ_(2ω)/μ_(1ω)~2∝p~(-0.866).     

水平激励下颗粒物质的有效质量及耗散功率的研究

对颗粒物质的有效质量谱及耗散功率进行了数值研究,发现水平和垂直激励下颗粒体系的共振频率f_g与体积模量k均随压强P呈分段幂律变化,在高压强下遵循fg∝P~(1/6),k∝P~(1/3)的规律,在低压强下遵循fg∝P~(1/4),k∝P~(1/2)的规律.同时,在水平和垂直振动下,颗粒体系品质因子的倒数1/Q随P的变化呈指数衰减.在特定频率和压强下,颗粒体系的平均耗散功率p随振动强度Γ的变化曲线上存在一个特征振动强度Γ*,当ΓΓ*时,颗粒体系表现出类固态行为,平均耗散功率p随振动强度Γ呈幂律标度,p∝Γ~α(2α5);当ΓΓ*时,颗粒体系表现出类液态行为,体系的平均耗散功率p随振动强度Γ呈线性变化.由此得到了水平激励下颗粒体系类固体类流体转变的Γ-P相图.     

垂直载荷下湿玻璃珠样品的声速和衰减测量及非线性声学响应

为了分析垂直载荷下颗粒物质的声速、声衰减系数、谐波非线性等特性,本工作采用飞行时间法测量了不同含水量下声速随压强的变化规律,并利用傅里叶变换法分析了干、湿玻璃珠样品的声衰减和非线性声学特性。结果表明:干、湿玻璃珠样品中的声速、声衰减系数以及谐波非线性均随压强呈幂律变化;湿颗粒样品中随着液体含量增多,声速逐渐增加,超声波透过湿颗粒样品时的能量耗散和非线性逐渐减小。分析原因表明,压强和孔隙流体改变了颗粒之间的接触分布,使得颗粒体系的声速、声衰减以及谐波非线性等特性都随之发生变化。     

碳化硅-金刚石超硬复合材料的弹性性质

在六面顶压机装置上,采用完全静水压声速测量技术,同时测量了碳化硅-金刚石复合材料在0~4.3GPa压力范围内的纵波声速(vp)和横波声速(vs),获得了其弹性模量与压力的关系。研究发现:当压力小于1.4GPa时,由于材料内部微孔隙闭合,材料声速随压力的升高而增大;随着压力的继续增加,微孔隙闭合完毕,声速趋于稳定值。常压下,碳化硅-金刚石复合材料的剪切模量高于体积模量;而高压下微孔隙对纵波声速的影响明显大于横波声速,导致体积模量在约1.4GPa时超过剪切模量。在1.4~4.3GPa压力下,碳化硅-金刚石复合材料的体积模量和剪切模量分别约为360和350GPa。     

钠玻璃与钛玻璃在静水压下的弹性性能

用超声脉冲重叠法测量了钠玻璃(float glass)和钛玻璃(SiO₂+8.4wt%TiO₂)从大气压到2GPa静水压条件下的纵波声速和横波声速.发现两种玻璃有不同的变化规律.钛玻璃的纵波声速和横波声速,与钠玻璃的横波声速都随压力的增加而减小;而钠玻璃的纵波声速随压力的增加先增大,后减小.这一现象不同于别的氧化硅玻璃.对实验结果进行了讨论,并计算了弹性模量在压力下的变化和Murnaghan状态方程参数. 关键词： 高压 超声 玻璃     

摩擦颗粒体系各向同性压缩过程中的堵塞行为

利用分子动力学方法,模拟了5000个表面轻微摩擦(μ=1×10^-4)的弹性颗粒组成的体系在各向同性压缩过程中的堵塞(jamming)现象,研究了颗粒体系对边壁压强P和对关联函数第一个峰的高度g₁随体积分数φ的变化规律. 结果表明,当体系的体积分数φ大于临界体积分数φ_c时,P(φ)曲线表现出明显的黏滑(stick-slip)行为,法向的力-力关联函数、切向的力-力关联函数和颗粒的位置-位置关联函数同时发生跳变,说明宏观黏滑现象源自内部的力位形和几何构形的调整. 体系在φ缓慢增大过程中得到了不同的堵塞态,随着颗粒粒径的缓慢减小,体系得以松弛(unjamming),实现松弛过程并得到相应的φ_c. 对于不同堵塞态,其边壁压强P与φ-φ_c遵从幂律标度P∝(φ-φ_c)^0.964. 关键词： 堵塞相图 对关联函数 力-力关联函数 标度规律     

垂直振动激励下颗粒材料有效质量和耗散功率的研究

研究了垂直振动激发下钨颗粒的动态有效质量(ω) 和耗散功率p(ω)随频率ω 的依赖关系. 实验发现, 在给定的振动幅度下, 自由表面样品有效质量的实数部分M₁ (ω) 、虚数部分M₂ (ω) 以及耗散功率p(ω)随频率的变化曲线均出现一个尖锐的共振峰. 随着在颗粒上表面施加压强的增大, M₁ (ω), M₂ (ω) 和耗散功率p(ω)曲线的峰值频率向高频移动, 且峰值高度也相应增大. 进一步研究发现, 有效质量实数部分的共振频率f_g 随表面压强P的变化满足分段幂律规律, 当P较小时, 幂指数为0.3, 当P较大时, 幂指数减小为1/6. 颗粒系统的品质因子的倒数1/Q随压强P的变化满足指数衰减规律.     

LaCoO3中自旋态转变现象的超声研究

测量了LaCoO3单相多晶样品的纵波与横波超声声速和衰减随温度的变化关系, 在材料的自旋态转变温度附近(≈90K),纵波声速出现明显的软化并伴随一个尖锐的衰减峰,但是在横波的测量中却没有出现类似的超声异常,分析认为LaCoO3在90K附近的自旋态转变是由于Co3+离子是从低自旋态(LS,t62ge0g)转变到中等自旋态(IS,t52ge1g ),而不是高等自旋态(HS,t42ge2g).随着温度的升高,在200K附近纵波和横波测量上都观察到一个伴随着微小声速软化的宽大的衰减峰,这可能是随机分布的IS态Co3+离子的Jahn-Teller效应导致的局域晶格扭曲所造成的.     

二维有摩擦颗粒体系振动态密度与玻色峰的研究

利用颗粒离散元方法,研究了由2048个有摩擦的单分散圆盘颗粒组成的体系在各向同性压缩条件下,颗粒摩擦系数μ对颗粒体系结构与振动特性的影响.结果表明:固定压强下,随μ的增大,区分德拜标度与态密度平台的过渡频率ω*与玻色峰频率ωBP均向低频移动,玻色峰高度D(ωBP)/ωBP逐渐增加.主要原因是μ增大导致颗粒体系无序程度增加(平均配位数减小)而在ωω*处出现了大量额外模式.模式分析表明:低频(ω1.0)模式主要是以平动为主的混合模式,中频(1.0ω4.0)模式主要是以平动为主的混合局域化模式,高频(ω4.0)振动模式几乎为纯转动的局域化模式;并且随μ的增大,低频下平动模式更加局域化,同时低频转动模式的贡献也逐渐增加,暗示在高摩擦系数下低频转动模式产生更重要的影响.     

水声材料横波声速和衰减系数参量源法测量系统

提出了测量10-100 kHz频段水声材料平均横波声速和衰减系数的测量系统,系统具有低频、小尺寸、窄波束的特点。测量装置应用截断参量源作为声源,结合了精密的坐标系统。在对平板声压透射系数的平面波模型进行理论修正和实验研究的基础上,测量平板样品的透射系数(插入损失)的频谱和角谱,并采用曲线拟合方法来估计样品在测量频段的平均横波声速和衰减系数。在2 m×1 m×1.5 m消声水槽中,对一些典型样品(尺寸500 mm×600 mm)进行了测量实验,结果表明,水声材料样品在声波不同入射角时的声学性能有较大差异,不能用声波垂直入射时的声学性能数据代替;横波声速和衰减系数是评定水声材料声学性能的重要参数,尤其在声波斜入射情况下;在研究材料构件或复杂器件的声学性能时它们也是必不可少和不能不考虑的。实验还验证了测量方法和系统的可行性,也表明仅在这一频段的测量还远不能满足水声工程的实际需求, 有必要将测量方法应用扩展到更低或更高的频段。     

量子计算正三角形腔内的氢负离子光剥离截面

用传统量子力学方法研究了横截面为正三角形的腔内氢负离子光剥离, 得到了光剥离截面随能量变化的解析表达公式. 该公式还给出了剥离截面的阈值行为. 进一步研究发现, 当氢负离子处于正三角形一角附近时, 用量子力学方法得到的结果与氢负离子处于60°角域内时使用闭合轨道理论得到的结果一致.     

Infrared absorbance cross-sections for dinitrogen pentoxide vapour

Laboratory measurements of the ν₁₂ absorption band of gaseous N₂O₅ have been made using Fourier transform infrared (FTIR) spectroscopy at seven different temperatures between 233 and 293 K. Integrated band strengths and absorbance cross-sections per molecule show no significant temperature dependence. Their average values are S_int = (4.09±0.17) × 10^-17 cm molecule ^-1 and σ_peak = (1.90±0.08) × 10^-18 cm² molecule^-1.     

1/f-type fluctuation of electron transmission in one-dimensional disordered systems

A universal feature of 1/f-type fluctuation is numerically observed in the system-size n dependence of the transmission amplitude t_n in various one-dimensional disordered systems. The power spectrum P(f) of the transmission coefficient T(n)=|t_n|² exhibits the power law of 1/f², irrespective to the type of disorder of the system whether it is of short-range or of long-range correlation. That of the phase θ_t(n) of t_n also does the universal power law of 1/f^1.4.     

用于α和μ常数变化测量的碘离子光谱研究

分子离子I_2~+的禁戒跃迁光谱有可能用于测量α和μ常数的变化,并且具有增强的灵敏度.通过分析I_2~+在11860—13100 cm~(-1)范围内的转动光谱,拟合了A~2Π_(3/2)-X~2Π_(3/2)系统31个振转带的5759根吸收谱线,得到5个属于X~2Π_(3/2)态和9个属于A~2Π_(3/2)态的振动能级准确的转动光谱常数.在量子噪声极限和1 Hz跃迁线宽的条件下,计算得到X~2Π_(3/2)和X~2Π_(1/2)之间的禁戒跃迁对α和μ常数变化测量的灵敏度为δ_(α/α)≈2.37×10~(-19)a~(-1)和δ_(μ/μ)≈1.18×10~(-18)a~(-1).     

Dynamic behaviors of water contained in calcium-silicate-hydrate gel at different temperatures studied by quasi-elastic neutron scattering spectroscopy

The dynamic behaviors of water contained in calcium-silicate-hydrate(C-S-H) gel with different water content values from 10%to 30%(by weight),are studied by using an empirical diffusion model(EDM) to analyze the experimental data of quasi-elastic neutron scattering(QENS) spectra at measured temperatures ranging from 230 K to 280 K.In the study,the experimental QENS spectra with the whole Q-range are considered.Several important parameters including the bound/immobile water elastic coefficient A,the bound water index BWI,the Lorentzian with a half-width at half-maximum(HWHM) Γ_1(Q) and Γ_2(Q),the self-diffusion coefficients D_(t1) and D_(t2) of water molecules,the average residence times τ_(01)and τ_(02),and the proton mean squared displacement(MSD)(u~2) are obtained.The results show that the QENS spectra can be fitted very well not only for small Q(≤1 A~1) but also for large Q.The bound/immobile water fraction in a C-S-H gel sample can be shown by the fitted BWI.The distinction between bound/immobile and mobile water,which includes confined water and ultra-confined water,can be seen by the fitted MSD.All the MSD tend to be the smallest value below 0.25 A~2(the MSD of bound/immobile water) as the Q increases to 1.9 A~1 no matter what the temperature and water content are.Furthermore,by the abrupt changes of the fitted values of D_(t1),τ_(01),and Γ_1(Q),a crossover temperature at 250 K,namely the liquid-to-crystal-like transition temperature,can be identified for confined water in large gel pores(LGPs) and/or small gel pores(SGPs) contained in the C-S-H gel sample with 30% water content.     

Multiplicity and average PT of central nucleus-nucleus collisions

We evaluated the multiplicity and average P_T of central nucleus-nucleus collisions using an extension of the Glauber model and theoretical ideas coming from particle-nucleus interactions. The multiplicity rises with the number of nucleons of the projectile A as c₁A+c₂A^1/3. The average P_T decreases with the number of nucleons B of the target. We discuss our results in connection with the possible phase transition between hadron matter and quark-gluon matter.     

1-forms over the moduli space of irreducible connections defined by the spectrum of Dirac operators

Let (P) be the moduli space of irreducible connections of a G-principal bundle P over a closed Riemannian spin manifold M. Let D_A be the Dirac operator of M coupled to a connection A of P and f a smooth function on M. We consider a smooth variation A(u) of A with tangent vector ω and denote T_ω:= (D_A(u)−f) (u=0. The coefficients of the asymptotic expansion of trace (T_ω · e^-t(D_A−f)2) near t=0 define 1-forms a^(k)_f, K=0, 1, 2, … on (P). In this paper we calculate aa⁽⁰⁾_f, a⁽¹⁾_f, a⁽²⁾_f and study some of their properties. For instance using the 1-form a⁽²⁾_f for suitable functions f we obtain a foliation of codimension 5 of the space of G-instantons of S⁴.     

若干高精度恒稳的半显式差分格式

本文构造了解色散方程u₁=au_xxx的若干三层恒稳的半显式差分格式。第Ⅰ、Ⅱ类格式的局部截断误差的阶为O(τ²+h²+(τ²)/(h³));而第Ⅲ、Ⅳ类格式的局部截断误差的阶为O(τ²+h⁴+((τ)/(h))²+τh)。用判别稳定性的Von Neumann准则可证明:第Ⅰ、Ⅱ类格式及当参数α≤1时的第Ⅲ、Ⅳ类格式都是无条件稳定的,并且当必须的边界条件给定时它们可以显式地进行计算。     

Field-induced parameters of re-entrant magnets and concentrated spin glasses

We have used electron spin resonance measurements to derive the temperature and frequency dependences of the field-induced magnetization [M(T, f)] and anisotropy field [H_an (T)] in a number of amorphous alloys belonging to the series (Fe_pNi_1−p)₇₅P₁₆B₆Al₃. In re-entrant (p > p_c, the critical concentration for ferromagnetism) alloys at hi gh frequencies (f = 35 GHz, field ≈ 12 kOe) M reduces as T^3/2 at high T and as T below ≈ 40 K, the deviation from T^3/2 becoming more marked as p → p⁺_c. For p close to p_c, lowering the frequency first causes the T term to increase and ultimately ( ≈ 4 GHz) changes the variation of M with T to that discovered previously for concentrated spin glasses, namely M is constant at low T and drops linearly at high temperatures. For the re-entrants, the results are interpreted on the basis of a model which invokes an energy gap in the spin-wave spectrum, introduces a non-zero density of states of the gap energy and takes into consideration a low-q cut-off in the spin-wave integral in thelow-T (T) regime.In the concentrated spin glasses [M (0) - M (T)]/ M (0) is well represented by the function [exp (Δ / T) - 1]^-1, where Δ has values close to the corresponding Curie-Weiss temperatures θ_p but much larger than the respective spin glass transition temperatures T_SG. The temperature dependence of H_an is largely given by the function (1 - T/T^*), where T^* is equal to the zero-field freezing temperature for the re-entrants and T_SG for the spin glasses, respectively.     

镁基合金自由枝晶生长的相场模拟研究

利用定量相场模型, 以Mg-0.5 wt.%Al合金为例模拟了基面((0001)面)内镁基合金的等温自由枝晶生长过程. 通过研究该合金体系数值模拟的收敛性, 获得了最优化值耦合参数λ = 5.5及网格宽度Δx/W₀ = 0.4, 并在该参数下系统研究了各向异性强度和过饱和度对枝晶尖端生长速度、尖端曲率半径、Péclet数及稳定性常数σ^* 的影响. 结果表明, 由微观可解性理论得到的稳定性系数σ^* 与ε₆ 拟合值σ^*≅ ε₆ ^1.81905, 更接近理想值σ ^* (ε₆) ≅ε₆ ^1.75. 此外, 当过饱和度Ω < 0.6时, 稳定性系数σ ^* 不随ε₆ 的变化而变化, 而当Ω > 0.6时, 稳定性系数σ ^* 随着ε₆ 的增加而减小. 这反映了枝晶的生长由扩散控制向动力学控制的转变. 随着过饱和度的增加, 枝晶形貌由雪花状枝晶向圆状枝晶转变.