The electron distribution function (EDF) is solution of a Fokker Planck equation in velocity space.
The equilibrium distribution function (EDF) of the present model is directly derived in accordance with the incompressibility conditions by applying the Hermite expansion.
In the stochastic calculations of the oxygen energy distribution function (EDF) described by Shematovich et al. (1994), a non-thermal oxygen concentration of ∼1% with respect to cold O content was obtained with a characteristic hot temperature of ∼4000 K.
Fig. 3 Approximate and exact third moment of the output SNR versus β. Figure 4 shows the two curves, that of approximate CDF, and that of the empirical distribution function (EDF).
This paper reports the behavioural characteristics of the fluorescence spectrum in high concentration 5000 ppm erbium-doped fibre (EDF), as a function of the EDF length, showing their potential for optical sensor applications to increase the potential number of multiplexed 'all fibre' sensors on a single channel.
To eliminate equidistant property of the lattice structure being the major drawback of the LBM, and thus establish the LB model as tool for practical application (natural water bodies) fully competitive compared to the presently available computational models, new form of equilibrium distribution function (EDF) based on geometrically transformed Saint-Venant equations (SVE) is derived.
A kinetic description, which takes into account electron production due to photo-effect, elastic electron scattering on atoms, ionization and excitation of atoms by the secondary electrons, and electron transport across the X-ray beam, is introduced to study relaxation of the electron distribution function (EDF) and evolution of the electron density and mean energy.
Although other alternatives might apply, in this type of decision problems we could obtain enhanced performance by resorting on Empirical Density Function (EDF) statistics to assess H 0, as claimed in [ 18].
A 1-μg/dL increase in blood lead was associated with an increase of 0.11 (95% CI: 0.09, 0.13) natural log (ln) (micrograms per liter) plasma lead and explained 57% of the variation in plasma lead (p < 0.0001); however, the multivariate adjusted GAM model indicated that the association was linear [empirical distribution function (EDF) = 1] (data not shown).
The objectives of this study are to investigate the linear stability of the lattice Boltzmann equation with the Bhatnagar Gross Krook collision operator (LBGK) for the advection diffusion equation (ADE), and to understand the relationship between the stability of the LBGK and non-negativity of the equilibrium distribution functions (EDFs).
