红外辐射场理论模拟中的普适性模型研究

在现有海面目标红外辐射场理论建模工作的基础上建立了具有普适性意义的海面目标红外辐射场理论建模通用框架,重点对建立目标的几何构型、适用于各种微元的物理模型、及通用的三维数据场可视化这三个问题进行了叙述。所得结果不仅对海面各种目标红外辐射场的计算机模拟研究具有普遍的意义,且对空中、陆地及其他场景中目标的红外辐射场理论建模研究也有一定的借鉴作用。     

On the theory of TE-polarized waves guided by a nonlinear three-layer structure

TE-polarized electromagnetic waves guided by a three-layer structure consisting of a film surrounded by semi-infinite media (all media are characterized by a Kerrlike dielectric function) are investigated by expressing the solution of the field equations in terms of Weierstrass' elliptic functions. Evaluation leads to a universal dispersion relation and its solutions and a universal expression for the power flow. Numerical results are presented for the effective wave number as a function of the intensity of the electric field at the lower surface of the nonlinear film, for various profiles of the field intensity, and for the power flow as a function of the effective wave number.     

利用霍尔效应测磁场实验的数据处理

推导了亥姆霍兹线圈产生磁场的全空间分布的普遍公式,讨论了如何确定磁感应强度的方向。就实验内容进行了实例分析,利用Matlab软件进行了相关计算,提出了利用霍尔效应测磁场实验的数据处理方法。最后,详细讨论了亥姆霍兹线圈所在平面处磁场强度相关参数的分布曲线。     

Universal ratios in the 2D tricritical ising model

We consider the universality class of the two-dimensional tricritical Ising model. The scaling form of the free energy leads to the definition of universal ratios of critical amplitudes which may have experimental relevance. We compute these universal ratios by a combined use of results coming from perturbed conformal field theory, integrable quantum field theory, and numerical methods.     

A JUSTIFICATION FOR THE SCALING OF THE THOM-SYSTEM

In the present paper we discuss the critical behavior of Thornsystem using Catastrophe Theory. The universal critical asymptotic form of the family of free energy functions for Thomsystem with one order parameter and two field parameters is obtained. The expressions of critical exponents, the scaling laws, and the scaling hypotheses are all derived from this universal asymptotic form.     

Universally coupled massive gravity,III: dRGT–Maheshwari pure spin-2, Ogievetsky–Polubarinov and arbitrary mass terms

Einstein’s equations were derived for a free massless spin-2 field using universal coupling in the 1950–1970s by various authors; total stress–energy including gravity’s served as a source for linear free field equations. A massive variant was likewise derived in the late 1960s by Freund, Maheshwari and Schonberg, and thought to be unique. How broad is universal coupling? In the last decade four 1-parameter families of massive spin-2 theories (contravariant, covariant, tetrad, and cotetrad of almost any density weights) have been derived using universal coupling. The (co)tetrad derivations included 2 of the 3 pure spin-2 theories due to de Rham, Gabadadze, and Tolley; those two theories first appeared in the 2-parameter Ogievetsky–Polubarinov family (1965), which developed the symmetric square root of the metric as a nonlinear group realization. One of the two theories was identified as pure spin-2 by Maheshwari in 1971–1972, thus evading the Boulware–Deser–Tyutin–Fradkin ghost by the time it was announced. Unlike the previous 4 families, this paper permits nonlinear field redefinitions to build the effective metric. By not insisting in advance on knowing the observable significance of the graviton potential to all orders, one finds that an arbitrary graviton mass term can be derived using universal coupling. The arbitrariness of a universally coupled mass/self-interaction term contrasts sharply with the uniqueness of the Einstein kinetic term. One might have hoped to use universal coupling as a tie-breaking criterion for choosing among theories that are equally satisfactory on more crucial grounds (such as lacking ghosts and having a smooth massless limit). But the ubiquity of universal coupling implies that the criterion does not favor any particular theories among those with the Einstein kinetic term.     

Thom系统标度性的证明

本文应用突变论(catastrophe theory)证得了Thom系统自由能函数族的普适的临界渐近形式,并从它推导了临界指数公式,标度律和标度假设。 关键词：     

圆环电流场的普遍分布

对圆环电流在全空间的磁场分布,先用椭圆积分计算矢势,再经旋度运算求得磁场的普遍表达式,绘制磁场量值的空间分布图,而将圆环电流平面内、中心轴线上和远区的场作为特例方便地进行讨论。     

引力场中的应力张量及其应用

根据引力场和静电场的相似性质，通过类比方法由静电场的麦克斯韦应力张量得出了引力场中的应力张量，并用它计算均质球体内部的万有引力。     

On the modification of the Efimov spectrum in a finite cubic box

Three particles with large scattering length display a universal spectrum of three-body bound states called “Efimov trimers”. We calculate the modification of the Efimov trimers of three identical bosons in a finite cubic box and compute the dependence of their energies on the box size using effective field theory. Previous calculations for positive scattering length that were perturbative in the finite-volume energy shift are extended to arbitrarily large shifts and negative scattering lengths. The renormalization of the effective field theory in the finite volume is explicitly verified. We investigate the effects of partial-wave mixing and study the behavior of shallow trimers near the dimer energy. Moreover, we provide numerical evidence for universal scaling of the finite-volume corrections.     

An interpretation of noncommutative field theory in terms of a quantum shift

Noncommutative coordinates are decomposed into a sum of geometrical ones and a universal quantum shift operator. With the help of this operator, the mapping of a commutative field theory into a noncommutative field theory (NCFT) is introduced. A general measure for the Lorentz-invariance violation in NCFT is also derived.     

A scalar polynomial singularity without an event horizon

It is shown that the solution of the field equations for a static spherically symmetric scalar field has a scalar polynomial singularity and no event horizon. The solution does not develop from nonsingular data on any Cauchy surface. The possible existence of a universal scalar field, the conformal diagram and geodesies of the solution, and the energy and momentum of the field present are discussed.     

The problem of the universal density functional and the density matrix functional theory

The analysis in this paper shows that the Hohenberg-Kohn theorem is the constellation of two statements: (i) the mathematically rigorous Hohenberg-Kohn lemma, which demonstrates that the same ground-state density cannot correspond to two different potentials of an external field, and (ii) the hypothesis of the existence of the universal density functional. Based on the obtained explicit expression for the nonrel-ativistic particle energy in a local external field, we prove that the energy of the system of more than two non-interacting electrons cannot be a functional of the inhomogeneous density. This result is generalized to the system of interacting electrons. It means that the Hohenberg-Kohn lemma cannot provide justification of the universal density functional for fermions. At the same time, statements of the density functional theory remain valid when considering any number of noninteracting ground-state bosons due to the Bose condensation effect. In the framework of the density matrix functional theory, the hypothesis of the existence of the universal density matrix functional corresponds to the cases of noninteracting particles and to interaction in the Hartree-Fock approximation.     

Scaling and universality in turbulent convection

Anomalous correlation functions of the temperature field in two-dimensional turbulent convection are shown to be universal with respect to the choice of external sources. Moreover, they are equal to the anomalous correlations of the concentration field of a passive tracer advected by the convective flow itself. The statistics of velocity differences is found to be universal, self-similar, and close to Gaussian. These results point to the conclusion that temperature intermittency in two-dimensional turbulent convection may be traced back to the existence of statistically preserved structures, as it is in passive scalar turbulence.     

Hysteresis in the behavior of a 3D ordered Josephson medium in magnetic field at a small pinning parameter

Using the approach based on analyzing variations in the configuration in the direction of the decreasing Gibbs potential, the magnetization curve for a three-dimensional ordered Josephson medium upon magnetic field cycling has been calculated for the case of a small pinning parameter. It has been demonstrated that, at any turning point, the hysteresis loop is part of some universal curve that is strictly periodic along both axes. The existence of a universal curve and its periodicity have been explained by analyzing the vortex configurations.     

半掺杂钙钛矿Pr0.5Sr0.5CoO3中磁熵变的标度律研究

对半掺杂氧化钴Pr0.5Sr0.5CoO3在居里温度附近的磁熵变进行了研究。研究表明,磁熵变的最大值依赖于外磁场强度;半高宽也与磁场强度有关;相对制冷能力与磁场强度几乎呈线性关系。另外,在不同的温度和磁场强度下测得的磁熵变能够重新标度为一条普适的曲线。依据该唯象的普适曲线,能够较准确的计算出在不同温度和磁场强度下磁熵变的大小。     

半掺杂钙钛矿Pr_(0.5)Sr_(0.5)CoO_3中磁熵变的标度律研究

对半掺杂氧化钴Pr0.5Sr0.5Co O3在居里温度(TC≈232 K)附近的磁熵变(ΔSM)进行了研究.研究表明,磁熵变的最大值(ΔSmaxM)依赖于外磁场强度(H):ΔSmaxM~Hn,其中n=0.55±0.14;半高宽(δTFWHM)与H有如下关系:δTFWHM~H0.4±0.1;而相对制冷能力(RCP)与H几乎呈线性关系.另外,在不同的温度和磁场强度下测得的磁熵变(ΔSM(T,H))能够重新标度为一条普适的曲线.依据该唯象的普适曲线,能够较准确的计算出在不同温度和磁场强度下磁熵变的大小.     

The influence of a minority magnetic phase on the field dependence of the magnetocaloric effect

The field dependence of the magnetic entropy change can be used to detect the existence of a minority magnetic phase without experimentally reaching its Curie temperature. In this work, we present results that could suggest a breakdown of the recently proposed universal behaviour of the magnetocaloric effect in materials with a second-order magnetic phase transition in some La-containing samples. The behaviour of the outlier La-containing materials is an evidence of the existence of minority phases, preventing the construction of the universal curve with a single reference temperature. However, the use of two reference temperatures avoids this difficulty and allows applying the universal curve for practical purposes even with the presence of the minority phase.