Sentence examples for motion and diffusion from inspiring English sources

Especially notable contributions to the mathematical theory of Brownian motion and diffusion processes were made by Paul Lévy and William Feller during the years 1930 60.

Isotropic increased nanoparticle mobility is manifested as enhanced Brownian motion and diffusion effects.

The overall increased mobility observed results in enhanced Brownian motion and diffusion effects which in their turn give rise to the augmented heat transfer phenomena observed in nanofluids under the studied heat transfer mode.

Considering the size of particles present in tobacco smoke, deposition would occur predominantly through Brownian motion and diffusion, thus it is expected that a higher relative deposition would be achieved with a lower air flow through the dilution system; the same is true for a higher recorded deposition with a lower vacuum applied to the Vitrocell module.

For instance, the gravitational three body problem can exhibit deterministic chaos and numerous further examples exist for which chaotic behaviour have been identified or suggested, ranging from the solar system, weather, population dynamics, to Brownian motion and diffusion [17].

Two examples that illustrate these assumptions from the design of a traditional physics class are circular motion and diffusion.

Diffusion imaging is based on the natural sensitivity of MR to motion, and diffusion-weighted images are obtained by incorporating strong magnetic field gradient pulses within any imaging pulse sequence [ 39].

Four characteristic types of motion were observed: stationary mode, simple Brownian diffusion, directed motion, and confined diffusion.

Single-molecule diffusion was considered to be brownian motion, and the diffusion coefficient (D), representing the amount of substance diffusing across an area through a unit concentration gradient in unit time, was calculated according to the following equations: All statistical analyses were carried out by using the StatMate III software program (ATMS Co. Ltd., Tokyo, Japan).

The author considered that small particles would be transported by Brownian motion and eddy diffusion, as it was proposed by Lin et al. (1953), while large particles would be transported by eddy diffusion and particle inertia, as it was proposed by Friedlander and Johnstone (1957).

In fact, in modern probability theory one of the most important uses of Brownian motion and other diffusion processes is as approximations to more complicated stochastic processes.