The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power law distribution suggested by the nonex-tensive kinetic theory. There are two different classes of solutions. The first class behaves like a subset of the polytropic Lane-Emden spheres, whereas the second o...

This work reports on a study of the spatially coarse-grained velocity dispersion in cosmological N-body simulations (OCDM and ΛCDM models) as a function of time (redshifts z = 0–4) and of the coarsening length (0.6–20 hMpc). The main result is the discovery of a polytropic relationship I1 ∝ ̺ between the velocity-dispersion kinetic energy density of the coarsening cells, I1, and their mass densi...

We consider in the Randall-Sundrum scenario the dynamics of a spherically symmetric 3-brane world when matter fields exist in the bulk. We determine exact 5-dimensional solutions which localize gravity near the brane and describe the dynamics of homogeneous polytropic matter on the brane. We show that these geometries are associated with a well defined conformal class of bulk matter fields. We ...

We report the characterization of the virus produced by a lymphoid cell line derived from a lymphoma of an AKR mouse after injection of the polytropic AKR virus MCF-247. The virus displays polytropic host range properties and is indistinguishable from MCF-247 as judged by analysis of the large RNase T1-resistant oligonucleotides of the RNA genome. Restriction enzyme analysis of cellular DNA rev...

This paper proposes a correction method, which corrects the actual compressor performance in real operating conditions to the equivalent performance under specified reference condition. The purpose is to make fair comparisons between actual performance against design performance or reference maps under the same operating conditions. Then the abnormal operating conditions or early failure indica...

We consider in the Randall-Sundrum scenario the dynamics of a spherically symmetric 3-brane world when matter fields exist in the bulk. We determine exact 5-dimensional solutions which localize gravity near the brane and describe the dynamics of homogeneous polytropic matter on the brane. We show that these geometries are associated with a well defined conformal class of bulk matter fields. We ...

Polytropic distribution functions provide the simplest models for self-gravitating stellar systems [1]. These models are characterized by an equation of the state of the form p = Kρ , where K and γ are constants. The polytropic index n is defined by the following expression: γ = 1 + 1 n which in the limit n → ∞ or, equivalently, γ = 1 results in an equation of state identical to the one of an i...