Sentence examples for by the diffusion velocity from inspiring English sources

The flow of population from point to point is then depicted by the diffusion velocity (v({mathbf{x}},t)), which provides the average velocity of those individuals who occupies ({mathbf{x}}) at the time t.

From the time-transient spectra of photocurrent excited by a pulse laser irradiation, the diffusion velocity of photoexcited carriers in the TiO2 mesoporous layer was found to be increased by 70% and 165%, while the amount of mixed NFs was small, ∼10 vol%.

Fig. 7 The plots of the diffusion velocity when α = β = 1 a Forward and backward diffusion velocity.

For each temperature, there is a length for which the diffusion velocity equals the transport velocity, and a corresponding time.

This further demonstrates that we can achieve the backward diffusion by using the above potential functions φ1 and φ2.   (2) The plots show that the diffusion velocity decreases with the increase of the value of s, and the smaller the value of s is, the faster the diffusion viscosity is.

So, the diffusion velocity of contact layer decreases with decreasing channel width.

In the backward diffusion equation, the diffusion velocities with potential function φ1 and φ2 are Fig. 6 The plots of the potential function φ and the corresponding backward diffusion velocity Ψ. a The plot of the potential function.

First, we notice that if we take α = β, then α/s > β|φ ' (s)|/s, i.e., the forward diffusion velocity is larger than the backward diffusion velocity.

b The corresponding backward diffusion velocity Ψ {varPsi}_1 s)=frac{varphi_1hbox(s)}{s}=frac{-{e}^{-s}}{s} {varPsi}_2 s)=frac{varphi_2hbox(s)}{s}=frac{-1}{s{left(1+srespectively respectively.

Fig. 8 Plots of the forward-backward diffusion velocity when α < β.

Thus, the heavier molecules have a lower diffusion velocity, and generally, the heavier molecules have higher binding energies [ 47].