Diffusion controlled reaction rate, survival probability, and molecular trajectory characteristics in the bulk, transition and Knudsen regime

2007 ◽  
Vol 128 (1) ◽  
pp. 1-10 ◽  
Author(s):  
Manolis M. Tomadakis ◽  
Deepti Rupani
Keyword(s):  
Survival Probability ◽  
Reaction Rate ◽  
Diffusion Controlled ◽  
Diffusion Controlled Reaction

A numerical study of heat and mass transport in fibre suspensions

1994 ◽  
Vol 447 (1929) ◽  
pp. 77-110 ◽  
Keyword(s):  
Reaction Rate ◽  
Volume Fraction ◽  
Effective Conductivity ◽  
Numerical Study ◽  
Transport Coefficients ◽  
Rate Coefficients ◽  
Slender Body Theory ◽  
Diffusion Controlled ◽  
Reaction Problem ◽  
Diffusion Controlled Reaction

Using slender body theory, periodic boxes, and the periodic solution to Laplace’s equation we develop a set of integral equations that are numerically solved to determine the effective conductivity of suspensions of highly conducting fibres and the effective reaction rate coefficient for the classical diffusion-controlled reaction problem. Our problem formulation explicitly considers all fibre–fibre interactions. It is valid for suspension concentrations up through the semi-dilute régime and for a wide variety of fibre shapes, including blunt-ended bodies. For the effective conductivity problem, fibre–fibre interactions act to substantially enhance the effective conductivity beyond dilute theory predictions at suspension concentrations of nl 3 ≽ O (1), where n is the number density of fibres and l is the characteristic fibre half-length. The corresponding condition for the diffusion-controlled reaction problem is nl 3 ≽ O (10 -5 ). It is shown that for nl 3 > O (1), the non-dimensionalized screening length in the suspension depends only on the volume fraction of the inclusions both for aligned and isotropic suspensions. We believe this is the first computational verification of this prediction made originally by E. S. G. Shaqfeh and G. H. Fredrickson. The conductivity and reaction rate coefficients of the suspensions both through the dilute/semi-dilute transition and well into the semi-dilute régime are well predicted by dilute theories that consider some fibre–fibre interactions. The same scaling behaviour for the transport coefficients and screening lengths is observed for both suspensions of spheroidal and cylindrical inclusions.

scholarly journals Near diffusion-controlled reaction of a Zn(Cys)4 zinc finger with hypochlorous acid

2016 ◽  
Vol 7 (8) ◽  
pp. 5508-5516 ◽  
Author(s):  
Vincent Lebrun ◽  
Jean-Luc Ravanat ◽  
Jean-Marc Latour ◽  
Olivier Sénèque
Keyword(s):  
Zinc Finger ◽  
Rate Constants ◽  
Reaction Rate ◽  
Hypochlorous Acid ◽  
Zinc Fingers ◽  
Reaction Rate Constants ◽  
Diffusion Controlled ◽  
Diffusion Controlled Reaction

Reaction rate constants of HOCl with zinc-bound cysteines are determined, demonstrating that zinc fingers are potent targets for HOCl and may serve as HOCl sensors.

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