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A systematic strategy for the calculation of density functionals (DFs) consists in coding informations about the density and the energy into polynomials of the degrees of freedom of wave functions. DFs and Kohn-Sham potentials (KSPs) are…

核理论 · 物理学 2011-08-25 B. G. Giraud , S. Karataglidis

General criteria to check the positivity of the distribution function (phase-space consistency) of stellar systems of assigned density and anisotropy profile are useful starting points in Jeans-based modeling. Here we substantially extend…

宇宙学与河外天体物理 · 物理学 2015-05-14 Luca Ciotti , Lucia Morganti

We present here a self-consistent, tridimensional model of a disc galaxy composed by a number of ellipsoidal distributions of matter having different flattening and density profile. The model is self-consistent and takes into account the…

天体物理学 · 物理学 2009-09-25 E. Pignatelli , G. Galletta

A particle with internal unobserved states diffusing in a force field will generally display effective advection-diffusion. The drift velocity is proportional to the mobility averaged over the internal states, or effective mobility, while…

统计力学 · 物理学 2017-10-13 Erik Aurell , Stefano Bo

The density-functional (DF) theory provides a simple method for calculating the properties of an interacting system under an external potential by associating it with a corresponding non-interacting system. Here, we find some relations in…

化学物理 · 物理学 2009-11-10 Junzo Chihara , Mitsuru Yamagiwa

We applied a criterion of gravitational instability, valid for two-component and infinitesimally thin discs, to observational data along the major axis for 7 spiral galaxies of early types. Unlike most papers, the dispersion equation…

星系天体物理 · 物理学 2018-04-24 A. A. Marchuk , N. Y. Sotnikova

We theoretically determine the probability distribution function of the net field of the random planar structure of dipoles which represent polarized particles. At small surface concentrations c of the point dipoles this distribution is…

统计力学 · 物理学 2012-05-04 Andrey V. Panov

We consider the gravitational potential and the gravitational rotation field generated by an spherical mass distribution with exponential density, when the force between any two mass elements is not the usual Newtonian one, but some general…

天体物理学 · 物理学 2007-05-23 Carlos Rodrigo-Blanco

Ring mass density and the corresponding circular velocity in thin disk model are known to be integral transforms of one another. But it may be less familiar that the transforms can be reduced to one-fold integrals with identical weight…

星系天体物理 · 物理学 2015-07-02 Łukasz Bratek , Szymon Sikora , Joanna Jałocha , Marek Kutschera

We add to the lore of spherical, stellar-system models a two-parameter family with an anisotropic velocity dispersion, and a central point mass (``black hole''). The ratio of the tangential to radial dispersions, is constant--and…

天体物理学 · 物理学 2009-10-28 Mordehai Milgrom

Context. Stars experience rapid contraction or expansion at different phases of their evolution. Modelling the angular momentum and chemical elements transport occurring during these phases remains an unsolved problem. Aims. We study a…

太阳与恒星天体物理 · 物理学 2021-05-05 B. Gouhier , F. Lignières , L. Jouve

For mature spiral galaxies, the rotation velocities quickly increase from the galactic center and achieve a constant velocity from the core to the periphery. This dynamic behavior is described by models balancing Newtonian gravitational and…

天体物理学 · 物理学 2008-04-02 James Q. Feng , C. F. Gallo

We use the Chandrasekhar formalism and direct N-body simulations to study the effect of dynamical friction on a test object only slightly more massive than the field stars, orbiting a spherically symmetric background of particles with a…

太阳与恒星天体物理 · 物理学 2015-06-22 Emiliano Alessandrini , Barbara Lanzoni , Paolo Miocchi , Luca Ciotti , Francesco R. Ferraro , -

The fundamental measure approach to classical density functional theory has been shown to be a powerful tool to predict various thermodynamic properties of hard-sphere systems. We employ this approach to determine not only one-particle…

软凝聚态物质 · 物理学 2015-11-02 Andreas Härtel , Matthias Kohl , Michael Schmiedeberg

Galaxies and clusters distributions show two major properties: (i) the positions of galaxies and clusters are characterized by a power law distribution indicating properties with respect to their positions. (ii) The distribution of masses…

天体物理学 · 物理学 2009-09-25 Francesco Sylos Labini , Luciano Pietronero

We use oblate axisymmetric dynamical models including dark halos to determine the orbital structure of intermediate mass to massive Coma early-type galaxies. We find a large variety of orbital compositions. Averaged over all sample galaxies…

The diffusion in two dimensions of non-interacting active particles that follow an arbitrary motility pattern is considered for analysis. Accordingly, the transport equation is generalized to take into account an arbitrary distribution of…

统计力学 · 物理学 2020-09-01 Francisco J. Sevilla

An efficient method is developed which allows the calculation of distributions of the surface density in the equilibrium disk configurations with an isolated point mass at the center corresponding to known distributions of the angular…

天体物理学 · 物理学 2009-11-07 N. R. Sibgatullin , A. Garcia , V. S. Manko

Measurements of the surface brightness distribution and of the velocity dispersion profile have been so far used to infer the inner dynamics of globular clusters. We show that those observations do not trace back the dark matter potentially…

天体物理学 · 物理学 2007-05-23 Francois Roueff , Pierre Salati , Richard Taillet

If two random variables X and A are functionally related via f(X)=A for some strictly monotone continuously differentiable function f:R->R, the distribution of X may easily be computed from the distribution of A.

综合数学 · 数学 2022-08-16 Kerry Michael Soileau