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He found that if the exposure time is much shorter than the diffusion timescale of Brownian motion, correlations between photons scattered into different angles encode 3D structural information of the particles not accessible via conventional small or wide-angle X-ray scattering.
Those trapped in the deeper wells continue to age enhancing the cage diffusion timescale and consequently the viscosity, which lowers the magnitude of strain allowing more particles to age.
We denote the bulk diffusion timescale by (t_{d}) and the surface dissolution timescale by (t_{s}).
Substituting these expansions into the equations (25 - 27 25 - 27ting terms at eacollectingitermsstratghtforward to find theachlutiordern the bulk ditfusisn timestraightforward
We will presently see that the problem is of a boundary layer type, and using the diffusion timescale is equivalent to an outer scaling.
If this were instantaneously converted to radiation, the excess energy would be released on a diffusion timescale, which we calculate to be ({sim}10 text{ yr}) in these low-density outer layers of the star.7.
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Good fits to the tracer breakthrough data were achieved using a dual-porosity model, with immobile regions characterised by block diffusion timescales in the range of about one to ten years.
The nearest-neighbour technique is tested against the classical problem of rigid body motion of a sphere immersed in very viscous fluid, then applied to the more complex biophysical problem of calculating the rotational diffusion timescales of a macromolecular structure modelled by three closely-spaced non-slender rods.
In z-scan measurements with high repetition rate lasers, which rely on sensing changes in spatial mode, it is challenging to separate the desired n2 Kerr lensing from thermal lensing [ 25]; in the XPMSS method, because thermal diffusion timescales are orders of magnitude longer than the < 1 picosecond timescale of the temporal phase modulation, thermal effects are readily separable.
As in the other failed simulations, the driving factor was excessive droplet activation by CCN in regions of the atmosphere having relatively small concentrations of acid and water vapor, and relatively long eddy diffusion transportation timescales.
We can state however that it is not slowed so much as to retard diffusion at timescales commonly used in processing of BHJs, that is, minutes.
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