We have developed a Scalable Linear Augmented Slater-Type Orbital (LASTO) method for electronic-structure calculations on free-standing atomic clusters. As with other linear methods we solve the Schrödinger equation using a mixed basis set consisting of numerical functions inside atom-centered spheres and matched onto tail functions outside. The tail functions are Slater-type orbitals, which ar...

The modified Newtonian dynamics (MOND), suggested by Milgrom as an alternative to dark matter, implies that isothermal spheres with a fixed anisotropy parameter should exhibit a near perfect relation between the mass and velocity dispersion of the form M ∝ σ. This is consistent with the observed Faber-Jackson relation for elliptical galaxies. However, the observable global properties of ellipti...

The magnification of distant sources by galaxy groups, assumed to be isothermal spheres with properties inferred from an extensive survey, are calculated analytically. It is found that in the weak lensing limit the average effect is exactly counteracted by the Dyer-Roeder beam. When applied to Type 1a supernovae brightness, the results were in broad agreement with the numerical computations of ...

We study the problem of gravitational lensing by binary galaxies, idealized as two isothermal spheres. In a wide binary, each galaxy possesses individual tangential, nearly astroidal, caus-tics and roundish radial caustics. As the separation of the binary is made smaller, the caustics undergo a sequence of metamorphoses. The first metamorphosis occurs when the tangential caustics merge to form ...

2014 Batchelor’s theory of sedimentation in dilute dispersions is generalized to the concentrated case, using the pair correlation function of a hard sphere system. Tome 42 N° 15 1e~ AOUT 1981 LE JOURNAL DE PHYSIQUE LETTRES J. Physique LETTRES 42 (1981) L-353 L-355 Classification Physics Abstracts 47.55K 1~ AOI1T 1981, A single sphere of radius R in an incompressible liquid sinks down slowly wi...

A two-dimensional, unsteady, isothermal and two-phase flow of reactant-product mixture in the air-side electrode of proton exchange membrane fuel cells (PEMFC) is studied numerically in the present study. The mixture is composed of oxygen, nitrogen, liquid water and water vapor. The governing equations are two species conservation, a single momentum equation for mobile mixture, liquid mass cons...

To increase the numerical accuracy in solving engineering problems, either conventional methods on a fine grid or methods with a high order of accuracy on a coarse grid can be used. In the present research, the second approach is utilized and the arbitrary high order Discontinues Galerkin Arbitrary DERivative (DG-ADER) method is applied to analyze the transient isothermal flow of natural gas th...

Hollow glass microspheres (HGMS) have been widely used in the hydrocarbon industry for cementing wells with low-density slurries. These consist of amorphous siliceous hollow spheres filled gas, providing a material high compressive strength. The present study aims to characterize interaction between HGMS and cement paste, focusing mainly on development pozzolanic activity, given nature silica. ...

Hierarchical clustering model has been extensively used in studies of the cosmological structure formation. In the hierarchical model, such as the standard Cold Dark Matter (CDM) dominated universe, the structures are formed in a bottom-up fashion. In this letter, we show that dark halos formed through the hierarchical clustering have non-isothermal structure and central density cusp shallower ...

The magnification of distant sources by mass clumps at lower (z ≤ 1) redshifts is calculated analytically. The clumps are initially assumed to be galaxy group isothermal spheres with properties inferred from an extensive survey. The average effect, which includes strong lensing, is exactly counteracted by the beam divergence in between clumps (more precisely, the average reciprocal magnificatio...