Universe density

E. Eisenriegler. Universal density-force relations for polymers near a repulsive wall. Phys Rev E 55 3116-3123, 1997. 

Invited 5. Bin Song and Pei-Lin Cao (Zhejiang University) Density Functional Investigation of Geometrical and Electronic Structures of Atomic Clusters... 

FIGURE 1.7 Packaged bales (universal density) ready to be shipped to the textile mill. (Courtesy of the National Cotton Council of America, Memphis, TN.)... 

Mintmire JW, White CT (1998) Universal density of states for carbon nanotubes. Phys Rev Lett 81 2506-2509... 

Navarro, Julio F., Frenk, Carlos S., White, Simon D. M. (1997). A universal density profile from hierarchical clustering , Astrophysical Journal, v.490, pp.493-508. 

The primordial abundances of D, 3He, and 7Li(7Be) are rate limited, depending sensitively on the competition between the nuclear reactions rates and the universal expansion rate. As a result, these nuclides are potential baryometers since their abundances are sensitive to the universal density of nucleons. As the universe expands, the nucleon density decreases so it is useful to compare the nucleon density to that of the CMB photons r) = n /n7. Since this ratio will turn out to be very small, it is convenient to introduce... 

The universal density functional for this noninteracting system is therefore... 

If one evaluates the kinetic energy (a) in the indicated way (plus an unkown correction, since the two systems - i. e. the real and the artificial one - only have approximatively the same kinetic energy), the two remaining parts (b) and (c) cause less problems. In fact (b) is a genuine and universal density functional, and (c) is regarded as relatively small, such that it does not matter too much how one approximates this term. 

Levy, M. Perdew, J. P. Hellmaim-Feynman, virial, and scahng requisites for the exact universal density funetionals. Shape of the eorrelation potential and diamagnetic suscep-tihiUty for atoms. Phys. Rev. A 1985,32, 2010-2021. 

Ayers, R. W. Rodriguez, J. I. Out of one, many—using moment expansions of the virial relation to deduce universal density functionals from a single system. Can. J. Chem. 2009, 87,1540-1545. 

Deb BM, Singh R, Sukumar N (1992) A universal density criterion for correlating the radii and other properties of atoms and ions. J Mol Struct Theochem 259 121-139 Gadre SR, Sen KD (1993) Radii of monopositive atomic ion. J Chem Phys 99 3149-3150 Baibas LC, Alonso JA, Vega LA (1986) Density functional theory of the chemictil potentieil of atoms and its relation to electrostatic potentials and bonding distances. Z Phys Dl 215-221 Bader RFW (1990) Atoms in molecules. Oxford Sd Publ, Oxford... 

---