定量计算水表面张力系数及其温度变化率

应用饱和蒸汽压下单元液体的玻尔兹曼因子方程,导出了表面张力系数及其温度变化率的数学公式;依据数学公式定量计算的理论结果与实测值高度吻合;证实了简洁的数学公式,可以在很宽的温度范围内准确地描述表面张力随温度的变化而变化的自然规律.     

Zero Surface Tension Limit of Viscous Surface Waves

We consider the free boundary problem for a layer of viscous, incompressible fluid in a uniform gravitational field, lying above a rigid bottom and below the atmosphere. For the “semi-small” initial data, we prove the zero surface tension limit of the problem within a local time interval. The unique local strong solution with surface tension is constructed as the limit of a sequence of approximate solutions to a special parabolic regularization. For the small initial data, we prove the global-in-time zero surface tension limit of the problem.     

关于液体表面张力的一个问题

由安徽大学出版社出版，牛金生主编的面向21世纪五年高等职业教育教材[物理]第一册第168页中关于液体的表面张力的解述中，其中最后一句：“……显然在平静的水面上轻轻放上一枚硬币而不下沉也是水的表面张力在起作用的缘故了．”由于该书对表面张力的解述较少，故很多同学认为硬币不下沉是由于硬币受到了液体的表面张力和重力相平衡的缘故(如图1)．这显然是错误的，这是由于同学对表面张力的概念不甚理解所致．我们知     

Origin of Negative Imaginary Part of Effective Permittivity of Passive Materials

The anti-resonant phenomenon of effective electromagnetic parameters of metamaterials has aroused controversy due to negative imaginary permittivity or permeability. It is experimentally found that the negative imaginary permittivity can occur for the natural passive materials near the Fabry-Perot resonances. We reveal the nature of negative imaginary permittivity, which is correlated with the magnetoelectric coupling. The anti-resonance of permittivity is a non-inherent feature for passive materials, while it can be inherent for devices or metamaterials.Our finding validates that the negative imaginary part of effective permittivity does not contradict the second law of thermodynamics for metamaterials owing to the magnetoelectric coupling.     

Temperature-Dependent Imaginary Part of the Off-Shell Nucleon Self-Energy and the Second Order Correction of Real Part of the Nucleon Self-Energy

The imaginary part of the off-shell nucleon self-energy at finite temperature in nuclear matter, where the polarization and correlation contributions of exchanges of the meson are taken into account, is investigated based on Walecka's meson-nucleon model and thermofield dynamics. The second order correction of temperature-dependent real part of the nucleon self-energy is calculated in terms of the dispersion relation. The Schrodinger equivalent potential of relativistic microscopic optical potential of a nucleon at finite temperature in nuclear medium is also studied.     

Imaginary Part of Action, Future Functioning as?Hidden Variables

Beginning with a review the logically first stages in the project of Random Dynamics, hoping for all laws nature being emergent, we also review what can be considered a consequence of Random Dynamics, a model—by myself and Masao Ninomiya—, which in principle predicts the initial conditions in such a way as to minimize a certain functional of the history of the Universe through both past and future. This functional is indeed the imaginary part of the action, which exists (only) in our model of complex action. The main point of the present is to suggest this complex action model to be also helpfull in solving some problems for quantum mechanics. Especially as our model almost makes it possible in principle to calculate the full history of the universe, it even makes it in principle calculable, which one among several measurement results in a quantum experiment will actually be realized!     

Influence of Surface Tension on the Fragmentation of Resonances

Physics of Atomic Nuclei - Some sources of the splitting of cross sections for the excitation of $$E$$ 1 resonances are discussed for the example of shell-model calculations for the $${}^{16}$$ O...     

液体表面张力系数测试仪的研制

介绍一种测定液体表面张力的自制简易装置,可以测量不同物质、不同浓度液体的表面张力系数。仪器制作取材方便,安装调试简单,尤其是改进了常规液膜"拉脱"方法(焦利秤、扭秤和螺旋升降台),使得自组表面张力系数测试仪精度高,稳定性好。     

具有复介电常量二维光子晶体的特性研究

采用平面波展开法,通过数值模拟研究了具有复介电常量的二维光子晶体的能带结构和光传输特性,重点讨论介电常量的虚部为负值情形时对传输特性的影响。研究表明由于光子带隙的存在有效地抑制了频率位于带隙内光的自发辐射。当在介质中掺入具有增益特性的杂质时,即使两种介质的介电常量相差很小,在靠近光子带隙边缘,出现了较强的受激辐射放大。通常在带隙的边缘处,光子晶体的群速度较小,而激光阈值正比于群速度的平方,当群速度很小时,激光阈值将大大减小。这为实现零阈值激光器提供了基础,也为制作光放大微器件提供了一个有益的理论参考。     

On the Diagonalization of the Bethe–Salpeter Equation for the Imaginary Part of the Scattering Amplitude

The Bethe–Salpeter (BS) equation for the imaginary part of the scattering amplitude is examined in the ladder approximation of scalar quantum electrodynamics (QED). Asymptotic solutions of the BS equation derived for the imaginary part of the scattering amplitude are shown to exhibit the Regge amplitude behavior for small momentum transfer and scattering in the forward direction and at arbitrary angles.     

液体表面张力系数的实验研究

改变液体的浓度可以调控液体的表面张力系数,各种形状膜架的挂膜时间与液体表面张力系数存在着一定的关系,本文对于这两个方面进行了实验研究,得出了相应的结果.此外,溶液的温度和空气的流动对挂膜时间都会产生影响.     

具有复介电常量一维光子晶体的特性研究

利用传输矩阵法计算了一维光子晶体的能带结构和光传输特性,重点讨论了介电常量的虚部为负值时对传输特性的影响。当在介质中掺入具有增益特性的介质时,靠近光子带隙边缘就会出现较强的受激辐射放大。同时,光子晶体的长度和介电常量虚部的大小都会影响晶体的受激辐射。随着虚部数值的增加,受激增强并不是单调递增,而是存在一极值点。     

表面张力对Rayleigh-Taylor不稳定性谐波的影响

Using the method of the parameter expansion up to the third order, explicitly investigates surface tension effect on harmonics at weakly nonlinear stage in Rayleigh-Taylor instability (RTI) for arbitrary Atwood numbers and compares the results with those of classical RTI within the framework of the third-order weakly nonlinear theory. It is found that surface tension strongly reduces the linear growth rate of time, resulting in mild growth of the amplitude of the fundamental mode, and changes amplitudes of the second and third harmonics, as is expressed as a tension factor coupling in amplitudes of the harmonics. On the one hand, surface tension can either decrease or increase the space amplitude; on the other hand, surface tension can also change their phases for some conditions which are explicitly determined.     

复介电常量双缺陷层的镜像对称光子晶体特性

利用传输矩阵法研究了两个复介电常量缺陷层镜像对称一维光子晶体的带隙结构和光传输特性。重点讨论了缺陷层的复介电常量的虚部为负值且光学厚度为λ0/4的情形时对传输特性的影响。研究发现:当在光子晶体的两端加入具有负虚部的复介电常量缺陷层后,多处出现了较强的透射峰增益。随着缺陷层复介电常量的虚部与实部比值的增加,各处透射峰增益变化规律不同。但中心波长处的缺陷膜的位置和高度不变。这为光子晶体同时实现多通道超窄带滤波器和不同放大倍数的光放大微器件的设计提供了理论基础。而在光子晶体的两端加入具有正虚部的复介电常量缺陷层后,各透射峰都出现了吸收现象,且随着其正虚部值I的增加,吸收越明显,这给光子晶体实现放大功能提供了理论指导。     

Comparison of Surface Tension Components and Hansen Solubility Parameters Theories. Part I: Explanation of Protein Adsorption on Polymers

Surface tension components and Hansen solubility parameters are two different theories used to explain and predict the compatibility and miscibility for polymer blends, composite polymer materials, and additives in polymer matrix. In this paper, the adsorption mechanism of bovine serum albumin (BSA) on eight polymers (PC, POM, PBT, PPO, PSF, PVDF, PEI, and PES) was researched through surface tension components and Hansen solubility parameters theories. The adsorption amounts of BSA on the polymers were measured through static adsorption experiments. It was found that the BSA adsorption amount cannot be directly correlated with the Hansen solubility parameters. However, there is high correlation between the Lifshitz-van der Waals component of surface tension of the polymers and BSA adsorption amount. With the increase in van der Waals value, the BSA adsorption amount on the polymers increases, but there still exists a complicated behavior. The protein adsorption mechanism is complex.     

The Influence of Line Tension on the Formation of Surface Nanobubbles

Russian Physics Journal - The paper investigates the formation and stability of the surface nanobubbles with regard to the line tension at the triple phase boundary; the pinning effect, when the...     

大气气溶胶粒子数密度谱和折射率虚部的测量

介绍一种综合利用光学粒子计数器和能见度仪测量大气气溶胶折射率虚部的新方法。首先，使用光学粒子计数器测量出大气气溶胶粒子的数密度谱(待订正)，用能见度仪同步测量出水平能见度。然后，根据球形粒子的米氏(Mie)散射理论，通过分析气溶胶粒子的折射率虚部、分档半径、粒子数密度谱、消光系数和能见度之间的关系，对分档半径进行订正，得到折射率虚部和能见度之间的对应关系。结合同步测量的能见度，反演出大气气溶胶粒子的折射率虚部。最后，利用折射率虚部对光学粒子计数器数据进行订正，得到大气气溶胶粒子的数密度谱。     

基于表面光散射法的聚乙二醇水溶液表面张力实验研究

基于表面波散射原理,本文研制了表面光散射法表面张力实验系统。利用标准参考物质纯水和乙醇对实验系统的可靠性进行了检验,并标定了散射角度。结果表明:新系统测量的两种物质的表面张力实验结果与标准数据的偏差为0.1mN·m~(-1),散射角度约为0.2°。利用新的表面光散射法表面张力实验系统,对质量分数为4%~16%的PEG1000、PEG2000、PEG4000、PEG6000、PEG8000水溶液的表面张力进行了实验研究,结果表明:PEG水溶液的表面张力随着PEG质量分数的增大有减小趋势,且PEG水溶液的表面张力与PEG本身的聚合度无关;PEG4000和PEG6000水溶液具有较大的表面张力,可以作为潜在的诱导蛋白质结晶的沉淀剂。     

Thermodynamics of Surface Tension: Application to Electrolyte Solutions

In this contribution to the special issue of the Journal of Statistical Physics dedicated to Michael Fisher on his 70th birthday, I shall review two thermodynamically distinct routes for obtaining the interfacial tension of liquid-vapor interfaces in mixtures. A specific application to the calculation of excess surface tension of aqueous electrolyte solutions will be presented.