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Because the diffusion timescale of a molecule across the pore space is much shorter than the dissolution (or precipitation) timescale, the concentration of the solvent S E can be approximated to be uniform in water.
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Nevertheless, as the thermal timescale is still orders of magnitude larger than the diffusion timescale, we expect the luminosity due to this excess energy to be limited by the former.
We will presently see that the problem is of a boundary layer type, and using the diffusion timescale is equivalent to an outer scaling.
Substituting these expansions into the equations (25 - 27 25 - 27ting terms at eacollectingitermsstratghtforward to find theachlutiordern the bulk ditfusisn timestraightforward
We denote the bulk diffusion timescale by (t_{d}) and the surface dissolution timescale by (t_{s}).
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.
Because the diffusion of receptors in the cell membrane is a stochastic process, the probability of two unassociated molecules moving on a similar trajectory (and within a short distance of one another) is very low on typical timescales (ms) of single-particle tracking.
This suggests that dynamics occur on timescales faster than the diffusion time, where time-binning analysis is optimal.
The first procedure (the reaction loop) operated on a larger timescale than the second (the diffusion loop).
Only fairly rigid residues that display neither ps-ns timescale flexibility nor µs-ms timescale conformational exchanges were chosen for the diffusion tensor calculation.
"One of the fascinating things is that because the timescale is so shortened, you have to reveal yourself immediately.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com