Sentence examples for since the diffusion from inspiring English sources

Understanding the diffusion is critical, since the diffusion rate is slow and the path unclear.

Since the diffusion coefficient vanishes on the boundary, it seems that there is no heat flux across the boundary.

However, in these cases, sintering does not affect so importantly, since the diffusion process is becoming dominant.

Therefore, since the diffusion current is dominant in the OFF state, the responsivity increases exponentially as the drain bias increases.

Since the diffusion is degenerate, we employ the Markov semigroup theory to study the long-time behavior of system (1.2).

It is a Catch-22 situation since the diffusion on larger markets that would be needed to reduce cost is hindered by the high cost.

An alternative explanation is that since the diffusion-weighted data were acquired using a magnetic field strength of 1.5 T rather than 3 T, and a limited number of diffusion directions, the lower signal to noise ratio could have impaired our ability to detect a significant association in right SCP.

Our recent data [26] suggest that during the Au sputter deposition at room temperature the film growth is driven by the Au grain boundary diffusion with a diffusion coefficient (rather than an Au surface diffusion, since the surface diffusion coefficient of Au on SiO2 is very small at room temperature, [24]).

Since sample paths of the diffusion process are continuous, and since drift and diffusion coefficients have bounded growth by assumption given in (7), and are locally constant.

At the end of 1 year, the effect of age on diffusion can be independent on crack effect since the increasing diffusion due to crack width is not much affected regardless of strength grade and curing period.

As the ZnO liquid starts to shrink, the Si/O surface diffusion will rapidly increase around the curved portions, since the surface diffusion of atoms is proportional to the gradient of the wire surface curvature at a certain temperature [26].