Sentence examples for diffusion of the random from inspiring English sources

The first clip (18 s) exemplifies the process of molecular-level solvation (or dissolution), showcasing the attraction and association of solvent molecules (e.g., water) with molecules or ions of a solute; the second clip (49 s) represents the diffusion of the random movement of individual particles as opposed to the intentional/directional movement of molecules.

We employ a diffusion approximation of the random walk model to derive analytical expressions for various characteristics of the dispersal process.

One diffusion step consists of the random choice of a site, and the 90° rotation of the 2×2 subgrid with the randomly chosen site in its upper left corner.

The scheme is developed for the simulation of vortex diffusion using the random vortex method.

Diffusion is the random motion of molecules down a concentration gradient.

Diffusion measures the random Brownian motion of water molecules within a voxel of tissue.

Diffusion represents the random thermal movement of molecules, also known as Brownian motion.

Diffusion is the random thermal motion of gaseous or liquid molecules, and MR imaging can detect signal changes caused by positional changes of molecules at this microscopic scale.

Einstein explained molecular diffusion on the basis of the random translational motion of molecules, which results from their thermal energy (Einstein, 1905).

D x ), a function of position x in the brain, is the diffusion coefficient defining the random motility of the glioma cells with D x )=D g, D w, constants for x in grey and white matter, respectively.

Computer simulations of the 3-D diffusion of non-sorbing random walkers in the largest pore cluster were performed to calculate the surface-to-volume ratio of the pore, tortuosity (diffusion coefficient in free space divided by that in porous rock).