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The coupled electron-nuclei system evolves into a coherent population trapping state by optical-excitation-induced nuclear-spin diffusion for a broad range of initial optical detunings.
This chapter provides important mathematical bases of diffusion for a variety of experimental situations and diffusion mechanisms in crystalline solids.
The 40-year bottom fluxes for the case with thermal diffusion are 2 11 times greater than the case with only molecular diffusion for a 0.6 m compacted clay liner.
The addition of small atomic radius element Fe, which has large diffusion activation energy and small diffusion coefficient in Cu, could inhibit diffusion for a wide range of composition.
We predict an overall increase of the diffusion for a smaller number of anchor proteins and increased diffusion for anisotropic stretching in the direction of the stretch, because of the decrease in the spatial frequency as well as in the height of the potential barriers.
A case study of the effect of heterogeneity in matrix diffusion for a single fracture could be performed by decomposing the transport problem into a one-dimensional mass transfer problem and a two-dimensional flow problem using a Lagrangian method of description.
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Fig. 13 Schematic illustration of interenzyme substrate diffusion for an enzyme cascade organized on spatially addressable DNA nanostructures.
The effective diffusion coefficients of solids were calculated using the Fick's second law of diffusion for an infinite cylinder, which are between 0.75 × 10−11 and 8.72 × 10−11 m/s, depending on the pH of the gastric fluid.
Controlled release devices including plastic drug reservoirs (2), implantable pumps (3), and biodegradable polymers (4, 5) have been designed to provide drug diffusion for an extended time, but diffusion distance has been limited to less than a few millimeters from the point of drug administration due to very low diffusivity (6, 7).
These movements are accompanied by complementary water diffusion, for which a water channel was postulated.
It takes ∼1 μs for the whole system to reach the steady state, while the mean diffusion time for an APS2– diffusion through the tunnel is ∼200 ns.
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