高阶引力理论及其在星系旋转 曲线中应用的可能性

介绍了建立高阶引力理论（该理论用以修正爱因斯坦广义相对论）的物理背景,并讨论了暗物质问题。对几种主要高阶引力理论及其解作了评述,并尝试在不必假定暗物质存在的情况下,用高阶引力理论解决有关星系旋转曲线的困难。但令人遗憾的是,至今还没有一个理论取得完全的成功。指出了解决这一问题面临的困难,并建议寻找新的高阶引力理论。     

On the equation of state for the Λ field

The recently detected accelerated expansion of the Universe is related to the existence of a new type of matter called the Λ field or quintessence. Constraints were obtained on its equation of state from the absence of clustering of this matter on scales much smaller than the cosmological horizon. The question of how these constraints affect the possibility of fitting the accelerated expansion by such cosmological models as the Chaplygin gas model is discussed.     

晨昏起伏电场对中性片离子的随机加热

本文从哈密顿原理出发,讨论磁尾中性片中粒子受晨昏起伏电场的影响问题,并把它归结于讨论标准映射的性质.中性片本身是非线性系统,外加起伏场会导致其进入混沌状态.本文计算了进入该状态的临界电场E_c以及不同E下的粒子轨迹.计算表明,观测到的晨昏电场可以使离子进入混沌状态,但远小于电子的临界场值.这样离子运动是随机的,电子运动是规则的.仅对离子的随机加热可能是导致中性片中离子温度高于电子温度的原因.     

邢台地震区大地电磁观测与研究

在邢台地震区进行了大地电磁观测,并对该地区电性结构与地震的关系进行了研究.该地区地下电性结构较复杂,电性在纵向及横向都存在着显著的变化.一维结果表明,该地区电性纵向分布可分五层,第三层为高导层,埋深约10—20 km.在地震震源集中区,高导层深度有较大变化.电性横向分布也有明显变化.总体上看,地震区内电阻较高,可是地震并不发生在电阻率最高的地点,而多发生在电性变化较大地段.     

Dynamical friction force exerted on spherical bodies

We present a rigorous calculation of the dynamical friction force exerted on a spherical massive perturber moving through an infinite homogenous system of field stars. By calculating the shape and mass of the polarization cloud induced by the perturber in the background system, which decelerates the motion of the perturber, we recover Chandrasekhar's drag force law with a modified Coulomb logarithm. As concrete examples, we calculate the drag force exerted on a Plummer sphere or a sphere with the density distribution of a Hernquist profile. It is shown that the shape of the perturber only affects the exact form of the Coulomb logarithm. The latter converges on small scales because encounters of the test and field stars with impact parameters less than the size of the massive perturber become inefficient. We confirm in this way the earlier results based on the impulse approximation of small angle scatterings.     

Large-scale cosmic homogeneity from a multifractal analysis of the PSCz catalogue

We investigate the behaviour of galaxy clustering on large scales using the PSC z catalogue. In particular, we ask whether there is any evidence of large-scale fractal behaviour in this catalogue. We find the correlation dimension in this survey varies with scale, consistent with other analyses. For example, our results on small and intermediate scales are consistent those obtained from the QDOT sample, but the larger PSC z sample allows us to extend the analysis out to much larger scales. We find firm evidence that the sample becomes homogeneous at large scales; the correlation dimension of the sample is D ₂=2.992±0.003 for r >30  h ⁻¹ Mpc. This provides strong evidence in favour of a universe that obeys the cosmological principle.