Temperature power law of equilibrium heavy particle density

Power-law Distributions of Particle Concentrations in Free- Surface Turbulence

Universal fractional noncubic power law for density of metallic glasses.

As a fundamental property of a material, density is controlled by the interatomic distances and the packing of microscopic constituents. The most prominent atomistic feature in a metallic glass (MG) that can be measured is its principal diffraction peak position (q1) observable by x-ray, electron, or neutron diffraction, which is closely associated with the average interatomic distance in the f...

Observational constraints for power-law spectra of density perturbations

We present an analysis of cosmological models with mixed dark matter (spectrum slope of density perturbations nS ∈ [0.6, 1.6], hot dark matter abundance Ων ∈ [0.0, 0.6]) in spatially flat Universe, based on Press-Schechter formalism (P&S). We found that the models with nS > 1 and Ων < 0.5 are preferable. Additionally, for all considered models we simulated ∆T/T |100 and compared it with the COB...

Power-law eigenvalue density, scaling, and critical random-matrix ensembles.

We consider a class of rotationally invariant unitary random matrix ensembles where the eigenvalue density falls off as an inverse power law. Under a scaling appropriate for such power-law densities (different from the scaling required in Gaussian random matrix ensembles), we calculate exactly the two-level kernel that determines all eigenvalue correlations. We show that such ensembles belong t...

Off-center Hii Regions in Power-law Density Distributions

The expansion of ionization fronts in uniform and spherically symmetric power-law density distributions is a well-studied topic. However, in many situations, such as a star formed at the edge of a molecular cloud core, an offset power-law density distribution would be more appropriate. In this paper a few of the main issues of the formation and expansion of HII regions in such media are outline...