Sentence examples for evolution of the density from inspiring English sources
The evolution of the density field is based on the implicit finite element method.
The proposed technique is investigated by analysing the evolution of the density operator for a spin I = 1.
A variable density corrector step is implemented for variable density systems in order to couple the evolution of the density and the velocity fields.
Finally, a corrector step is implemented in order to couple the evolution of the density and velocity fields and to stabilize the computations.
The evolution of the density function in the time and internal property coordinates is then computed by transporting the initial and boundary density functions in the transformed domain.
While weakly coupled spin systems can be analyzed by simple fitting of cross peak intensities, in strongly coupled spin systems the evolution of the density matrix needs to be considered in order to analyse data accurately.
As in complex liquids, the interaction process originates in the disordered and finite correlation regions (finite polydisperse dynamic clustering) reflected in the transport parameters (relaxation times, viscosity, and self-diffusion) by means of a super-Arrhenius behavior or a multi-relaxation in the time evolution of the density-density correlation functions.
This spatial evolution of the densities indicated a moderate decline rate compared to the 50% per 86 m rise in altitude observed in Mount Kilimanjaro [ 26].
The distributions and evolutions of the density, velocity field, temperature, electric potential, current density, azimuthal magnetic field, etc. of the arc plasmas are computed.
> The logistic equation, given by Eq. (7), describes the time evolution of the cell density where there is, on average, no spatial variation in cell density.
