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Reversible diffusion restriction has also been described.
We construct Otto Villani's coupling for general reversible diffusion processes on a Riemannian manifold.
Cattlaux et al. [4] went a step further by showing the equivalence between the (usual) Poincaré inequality, Lyapunov conditions, and the existence of exponential moments for hitting times for reversible diffusion processes.
The results showed that the reduction of Dy III) ions in LiCl-KCl salts is a reversible diffusion controlled process through a one-step reaction: Dy III) + 3e− ↔ Dy(0).
The use of hexylammonium perchlorate as an electrolyte and ultramicroelectrodes (radius < 1 μm) enables the reversible diffusion controlled theoretical response to be observed for oxidation of ferrocene in benzene, toluene and xylene under steady state conditions with slow scan rates ( < 100 mV s−1).
Figure 2D represents a reversible diffusion process: an Eag1 channel shows restricted movement when localized at synapses (upper-right graph in Fig. 2D corresponding to consecutive Panels from a1 to a3) but switches to free Brownian diffusion upon lateral movement out of the synaptic bouton (lower-right graph in Fig. 2D corresponding to consecutive Panels from a4 to a6).
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The electrode reaction is reversible, diffusion-controlled and involves a one-electron tranfer process.
In the potential range of 0 0.6 V a reversible diffusion-controlled process was observed with formal potentials of 0.30, 0.31 and 0.22V, respectively.
The cases that are studied with this approach are (1) diffusion-influenced reactions; (2) reversible diffusion-influenced reactions and (3) reactions with an intermediate state such as enzymatic catalysis.
The mechanism and kinetics for the oxidation of Cr III) is a quasi-reversible diffusion-controlled reaction and is largely dependent on the solution pH.
Quasi-reversible, diffusion-controlled cyclic voltammetric responses were observed on oxygen-terminated (atomic O/C ∼0.015), but not hydrogen-terminated (atomic O/C ∼0.02) diamond thin films.
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