Sentence examples for as a functional of the density from inspiring English sources

In this article, we explain the condition for the spinodal decomposition to occur in polymer melts by deriving a Ginzburg-Landau model of the free energy as a functional of the density and the orientation of the segments, where we introduce the excluded volume and the nematic interactions through a combination of the random phase approximation and the transfer matrix for the polymer conformation.

The free energy F, a functional of the He density ρ, may be written as Equation (3): 53 (3) where E denotes the Orsay Trento functional and Uext the external potential, which introduces the dopant interaction.

In addition, many population models [60 62] are often associated with a functional response, which refers to the predation rate per predator as a function of prey density [63, 64] and predator density [65 67].

Linear combinations of homogeneous functionals of the density.

One could view the high contribution of the factor denoted S in our model as a measure of the "functional density" of a protein (Wilson et al. 1977).

4,  9 By using density functional theory (DFT), we also calculated the energy level of the highest occupied molecular orbital (HOMO) in the R group as a barometer of the electron density of the phenyl moiety.

Density functional theory (DFT), in which the thermodynamic properties are expressed as functionals of the spatially varying density, is applied for the theoretical modeling of adsorption isotherms of pure n-aldehydes and n-aldehyde mixtures.

The electronic structure of boron difluoride acetylacetonate and its three derivatives was studied using photoelectron and absorption spectroscopy, as well as the density functional theory.

Considering conservation as a functional signature, we hypothesize a higher density of cis-regulatory elements upstream of genes participating in complex and adaptive processes.

The calculated IR and Raman scattering spectra, obtained by means of the density functional theory, were used as reference.

These findings are consistent with the idea that the density of potentially functional polymorphisms can be used as a measure of the functional importance of a gene.