温度和雷诺数对表面活性剂溶液传热的影响

对不同温度和雷诺数下阳性离子表面活性剂十六烷基三甲基氯化铵(CTAC)溶液在循环回路中的传热特性进行了实验研究。在水中加入表面活性剂后溶液的传热特性明显降低,在不同的温度工况下均存在一个临界雷诺数,随着溶液温度的改变而发生变化。在不同的实验浓度条件下均存在一个临界温度,在临界温度以下时,临界雷诺数随温度升高而增加;在临界温度以上时,临界雷诺数随温度升高而急剧下降。分析该表面活性剂溶液阻力减小和传热性能降低之间的关系,提出了通过对溶液温度的控制来改变减阻流体传热特性的方法。     

磷脂在膜结构间的交换:温度和离子强度的影响

磷脂跨膜交换对生物膜功能与药学研究有重要意义.石英电子微天平及耗散系数测量仪被用于研究囊泡与支撑膜间磷脂的交换行为.研究表明:首先,在磷脂跨膜输运过程中,热力学环境和离子强度对支撑膜表面吸附囊泡的形变程度影响较小,囊泡与支撑膜的总接触面积直接取决于囊泡的吸附数量;其次,交换过程中膜结构间最大总接触面积随着温度的升高和离子强度的降低而增大,温度和离子引起的囊泡吸附速率和跨膜交换速率的变化在其中发挥着关键调节作用.本研究有助于加深对磷脂在生理条件下跨膜输运过程的理解,并为基于脂质体的药物载运体系研究提供参考.     

An ignition-temperature model with two free interfaces in premixed flames†

In this paper we consider an ignition-temperature zero-order reaction model of thermo-diffusive combustion. This model describes the dynamics of thick flames, which have recently received considerable attention in the physical and engineering literature. The model admits a unique (up to translations) planar travelling wave solution. This travelling wave solution is quite different from those usually studied in combustion theory. The main qualitative feature of this travelling wave is that it has two interfaces: the ignition interface where the ignition temperature is attained and the trailing interface where the concentration of deficient reactants reaches zero. We give a new mathematical framework for studying the cellular instability of such travelling front solutions. Our approach allows the analysis of a free boundary problem to be converted into the analysis of a boundary value problem having a fully nonlinear system of parabolic equations. The latter is very suitable for both mathematical and numerical analysis. We prove the existence of a critical Lewis number such that the travelling wave solution is stable for values of Lewis number below the critical one and is unstable for Lewis numbers that exceed this critical value. Finally, we discuss the results of numerical simulations of a fully nonlinear system that describes the perturbation dynamics of planar fronts. These simulations reveal, in particular, some very interesting ‘two-cell’ steady patterns of curved combustion fronts.     

Determination of work functions near melting points of refractory metals by using a direct-current arc

A direct-current arc in argon at atmospheric pressure was used to determine effective work functions of refractory metals, including tantalum, tungsten, molybdenum, and niobium. The procedure is experimentally advantageous because surface cleanliness of the specimen is not critical, high vacuum is not required, and the anode-cathode spacing is not critical. The experimental procedure involves striking an arc to a metal wire cathode to form a melted ball having an emitting area defined by its diameter. The literature melting point of the metal is taken as the emitting temperature. By using these parameters and the known arc current, effective work functions were calculated from the Richardson-Dushman equation. The calculated work functions agree with recommended handbook values to within about 0.1 V and have typical repeatabilities of 0.02 V. By varying the arc current, Richardson plots can be made over a temperature range from a few hundred degrees below the melting point to about 50° over the melting point of the test metal. A Richardson plot over this temperature range is presented for tantalum.     

等离子体中热阴极鞘层的结构

结合热阴极电子发射理论和等离子体鞘层流体方程研究了热阴极附近存在虚阴极结构时的等离子体鞘层问题,采用Sagdeev势的方法讨论了鞘层解和广义Bohm判据.结果表明,不同于普通的Bohm鞘,由于热阴极附近存在大量发射电子,影响整个等离子体鞘层结构,使得进入鞘层的离子临界Mach数不是独立的常数,而是与鞘层电位降等参数有关的物理量.临界Mach数随着鞘层电位降（从鞘边缘到虚阴极）先增大后降低,并且随着热阴极温度的升高单调增大.此外,在平板模型下有相当可观的残余热发射电子越过虚阴极鞘层进入等离子体. 关键词： 鞘层 热阴极发射 Bohm判据     

The Sherrington-Kirkpatrick spin glass model: Results of a new theory

A new solution of the Sherrington-Kirkpatrick spin glass model is discussed which is valid below the temperature where the replica method becomes unstable. The free energy is lowered, the entropy has no unphysical properties forT 0. The specific heat approaches zero exponentially and has a second maximum near a lower critical temperature for given external field. Near the critical point the difference of the free energy to that of Sherrington and Kirkpatrick is extremely small. Thus the Sherrington-Kirkpatrick phase may be undercooled.     

Molecular Dynamics Study on Microstructure of Potassium Dihydrogen Phosphates Solution

用分子动力学模拟方法研究了不同温度下磷酸二氢钾(KDP)水溶液的内能和微结构. 水分子被看作简单点电荷模型,磷酸二氢根被看作七节点模型. 另外系统地研究了溶液的内能和径向分布函数. 在饱和温度附近,局域粒子数密度有很大的波动;饱和溶液的比热要比不饱和溶液的比热高表明溶液在低于饱和温度的过程中经历了结晶过程;水中的氧原子跟磷酸二氢根中的氢原子的径向分布函数表明二者之间形成很强的氢键结构;在KDP水溶液中,钾阳离子跟磷酸二氢根中的氧原子有很强的相互作用,并且在饱和溶液中形成的离子对数量更多.     

Acoustics of a flanged cylindrical pipe using singular basis functions

The problem of acoustic radiation from a cylindrical pipe with an infinite flange has been discussed in a number of papers. The most common approach is to decompose the field inside the pipe over a basis of Bessel functions. A very large number of basis functions is usually required, with a large degree of ripple appearing as an artifact in the solution. In this paper it is shown that a close analysis of the velocity field near the corner yields a new family of functions, which are called "edge functions." Using this set of functions as test functions and applying the moment method on the boundary between the waveguide and free space, a solution is obtained with greatly improved convergence properties and no ripple.     

Local order parameter near the critical point: A Monte Carlo study

The probability distribution of the local magnetization in a Heisenberg ferromagnet has been investigated near the critical temperature. The distribution function depends strongly upon the number of atoms generating the local field. A cusp-like critical broadening is observed with different behavior above and below the critical temperature.     

Fourfold Symmetric Solutions to the Ginzburg Landau Equation for d-Wave Superconductors

We find and investigate the structure of solutions to the Ginzburg Landau equation for a high temperature superconductor with tetragonal symmetry. This is done near an isolated, rotationally symmetric d-wave vortex state with its core at the origin defined on all of \mathbbR²{\mathbb{R}^2}. We prove that the solution’s s-wave component nucleates near the vortex core for temperatures just below the d-wave critical temperature. We further show that this causes the rotational symmetry to break and that the solution develops a fourfold symmetry with respect to a rotation by an angle of \fracp2{\frac{\pi}{2}}.     

The Landau-Ginzburg-Wilson model in 2 and 2+ε dimensions at low temperatures

By introducing a collective variable the two-dimensional Landau-Ginzburg-Wilson model (classical order parameter of non-rigid magnitude) may, if the order parameter dimension exceeds one, be solved at absolute zero. A low temperature expansion about this solution is developed. The low temperature expansion supports the hypothesis that d = 2 systems with a two-component order parameter will have a non-zero critical point, below which the susceptibility diverges, although no symmetry breaking occurs. The leading order temperature dependence of η is determined. In addition an ε expansion for systems of spatial dimension 2 + ε is developed. The critical exponents, calculated here to lowest order in ε, agree with those found for stiff spins.     

Bose–Einstein condensation versus Dicke–Hepp–Lieb transition in an optical cavity

We provide an exact solution for the interplay between Bose–Einstein condensation and the Dicke–Hepp–Lieb self-organization transition of an ideal Bose gas trapped inside a single-mode optical cavity and subject to a transverse laser drive. Based on an effective action approach, we determine the full phase diagram at arbitrary temperature, which features a bi-critical point where the transitions cross. We calculate the dynamically generated band structure of the atoms and the associated suppression of the critical temperature for Bose–Einstein condensation in the phase with a spontaneous periodic density modulation. Moreover, we determine the evolution of the polariton spectrum due to the coupling of the cavity photons and the atomic field near the self-organization transition, which is quite different above or below the Bose–Einstein condensation temperature. At low temperatures, the critical value of the Dicke–Hepp–Lieb transition decreases with temperature and thus thermal fluctuations can enhance the tendency to a periodic arrangement of the atoms.     

Crystalline morphology in polymer blends via competition with spinodal decomposition

Miscible polymer blends containing one crystallizable component and exhibiting liquid-liquid phase separation at elevated temperatures [lower critical solution temperature (LCST) behavior] offer an excellent possibility of controlling morphology and thus mechanical properties. For instance, if a homogeneous mixture of dissimilar polymers is allowed to undergo a rapid temperature jump from below LCST to above LCST, spinodal decomposition takes place and a highly interconnected two-phase morphology with uniform domain size (so-called modulated structure) develops. By quenching the phase-separated system below the glass transition temperature after an appropriate time of phase separation, one is able to fix this characteristic morphology [1]. By quenching the phase-separated blend below the melting point of the crystallizable component to different supercooling depths, it is possible to control the number of nuclei and thus the spherulite's size, creating more or less ordered structures.     

Numerical method for hydrodynamic modulation equations describing Bloch oscillations in semiconductor superlattices

We present a finite difference method to solve a new type of nonlocal hydrodynamic equations that arise in the theory of spatially inhomogeneous Bloch oscillations in semiconductor superlattices. The hydrodynamic equations describe the evolution of the electron density, electric field and the complex amplitude of the Bloch oscillations for the electron current density and the mean energy density. These equations contain averages over the Bloch phase which are integrals of the unknown electric field and are derived by singular perturbation methods. Among the solutions of the hydrodynamic equations, at a 70 K lattice temperature, there are spatially inhomogeneous Bloch oscillations coexisting with moving electric field domains and Gunn-type oscillations of the current. At higher temperature (300 K) only Bloch oscillations remain. These novel solutions are found for restitution coefficients in a narrow interval below their critical values and disappear for larger values. We use an efficient numerical method based on an implicit second-order finite difference scheme for both the electric field equation (of drift-diffusion type) and the parabolic equation for the complex amplitude. Double integrals appearing in the nonlocal hydrodynamic equations are calculated by means of expansions in modified Bessel functions. We use numerical simulations to ascertain the convergence of the method. If the complex amplitude equation is solved using a first order scheme for restitution coefficients near their critical values, a spurious convection arises that annihilates the complex amplitude in the part of the superlattice that is closer to the cathode. This numerical artifact disappears if the space step is appropriately reduced or we use the second-order numerical scheme.     

Mean Length of Finite Clusters in Directed Compact Percolation Near a Damp Wall

The mean length of finite clusters is derived exactly for the case of directed compact percolation near a damp wall. We find that the result involves elliptic integrals and exhibits similar critical behaviour to the dry wall case.     

Critical dynamics of vesicle stretching transition in elongational flow

We present results on the stretching of single tubular vesicles in an elongation flow toward dumbbell shapes, and on their relaxation. A critical strain rate epsilonc exists; for strain rates epsilon相似文献   

An empirical relationship between atoms and ions sputtered from single crystal surfaces

The temperature dependence of long range order at a (100) surface of Cu₃Au has been determined by low energy electron diffraction. Auger electron spectroscopy revealed that the composition of the alloy near the surface is changed by ion bombardment, but the stoichiometric composition is reconstituted by annealing. The order parameter of the surface, which was obtained from the temperature dependence of a superlattice beam, appears to be a continuous function of temperature, unlike the bulk order parameter. The disordering process at the surface begins about 60°K below a critical temperature which is common to both the surface and the volume. Monte Carlo calculations of the order parameter as a function of temperature for a model incorporating nearest- and next-nearest-neighbor interactions reproduce the experimental results and also provide an evaluation of the change in order parameter as a function of layer number for boundary conditions corresponding to a copper or a copper-gold surface.     

Electric field and the charge distribution on the surface of an insulator in a vacuum

The free charge steady-state distribution over the insulator surface that arises in a strong electric field in a vacuum can be found by solving the boundary-value problem for the electrostatic field strength if the angle between the field vector and vacuum-insulator interface is given. A general solution to this boundary-value problem is derived for the case of an in-plane field and rectilinear interfaces. Laws of charge and field formation that follow from the solution obtained are considered. Formulas for the electric field strength and charge density in terms of elementary functions are obtained for a number of particular cases. Power-type expressions for the electric field and a critical angle between the electrode and insulator surface that describe the field behavior and charge distribution near the vacuum-insulator-electrode contact are derived.     

Universality near zero virtuality

In this paper we study a random matrix model with the chiral and flavor structure of the QCD Dirac operator and a temperature dependence given by the lowest Matsubara frequency. Using the supersymmetric method for random matrix theory, we obtain an exact, analytic expression for the average spectral density. In the large-n limit, the spectral density can be obtained from the solution to a cubic equation. This spectral density is nonzero in the vicinity of eigenvalue zero only for temperatures below the critical temperature of this model. Our main result is the demonstration that the microscopic limit of the spectral density is independent of temperature (apart from a temperature dependent scale factor expressed in terms of the chiral condensate) up to the critical temperature. This is due to a number of remarkable cancellations. This result provides strong support for the conjecture that the microscopic spectral density is universal. In our derivation, we emphasize the symmetries of the partition function and show that this universal behavior is closely related to the existence of an invariant saddle-point manifold.     

Anomalous thermal expansion in alpha-titanium

We provide a complete quantitative explanation for the anisotropic thermal expansion of hcp Ti at low temperature. The observed negative thermal expansion along the c axis is reproduced theoretically by means of a parameter free theory which involves both the electron and phonon contributions to the free energy. The thermal expansion of titanium is calculated and found to be negative along the c axis for temperatures below approximately 170 K, in good agreement with observations. We have identified a saddle point van Hove singularity near the Fermi level as the main reason for the anisotropic thermal expansion in alpha-titanium.