Statistical theory of time‐dependent diffusion‐controlled reactions in fluids and solids

1995 ◽  
Vol 103 (23) ◽  
pp. 10201-10213 ◽  
Author(s):  
B. U. Felderhof ◽  
R. B. Jones
Keyword(s):  
Statistical Theory ◽  
Time Dependent ◽  
Diffusion Controlled

Diffusion controlled reactions: Experimental verification of the time‐dependent rate equation

1988 ◽  
Vol 89 (8) ◽  
pp. 4799-4806 ◽  
Author(s):  
N. Periasamy ◽  
S. Doraiswamy ◽  
B. Venkataraman ◽  
G. R. Fleming
Keyword(s):  
Rate Equation ◽  
Experimental Verification ◽  
Time Dependent ◽  
Dependent Rate ◽  
Diffusion Controlled

Length and Time-Dependent Rates in Diffusion-Controlled Reactions with Conjugated Polymers

2009 ◽  
Vol 113 (12) ◽  
pp. 2786-2795 ◽  
Author(s):  
Paiboon Sreearunothai ◽  
Sadayuki Asaoka ◽  
Andrew R. Cook ◽  
John R. Miller
Keyword(s):  
Conjugated Polymers ◽  
Time Dependent ◽  
Diffusion Controlled

Diffusion in Potential Fields: Time-Dependent Capture on Radial and Rectangular Substrates

2004 ◽  
Vol 859 ◽  
Author(s):  
J. A. Venables ◽  
P. Yang
Keyword(s):  
Periodic Boundary ◽  
Energy Surface ◽  
Periodic Boundary Conditions ◽  
Nucleation And Growth ◽  
Time Dependent ◽  
Potential Fields ◽  
Diffusion Field ◽  
Rectangular Array ◽  
Diffusion Controlled ◽  
And Diffusion

ABSTRACTIn models of nucleation and growth on surfaces, it is usually assumed that the energy surface of the substrate is flat, that diffusion is isotropic, and that capture numbers can be calculated in the diffusion-controlled limit. We lift these restrictions analytically, and introduce a hybrid discrete FFT method of solving for the 2D time-dependent diffusion field of adparticles on general non-uniform substrates. The method, with periodic boundary conditions, is appropriate, for example, following nucleation on a regular (rectangular) array of defects. The programs, which have been realized in Matlab®6.5, are instructive for visualizing potential and diffusion fields, and for producing illustrative movies of crystal growth under various conditions. Here we demonstrate the time-dependence of capture numbers in the initial stages of annealing at high adparticle concentration in the presence of repulsive adparticle-cluster interactions; however it is clear that the method works in general for deposition, growth and annealing at all times.

Time-dependent reactivity for diffusion-controlled annihilation and coagulation in two dimensions

1994 ◽  
Vol 50 (5) ◽  
pp. 3646-3655 ◽  
Author(s):  
P. A. Alemany ◽  
D. H. Zanette ◽  
H. S. Wio
Keyword(s):  
Two Dimensions ◽  
Time Dependent ◽  
Diffusion Controlled

scholarly journals Trends in Block-Seasonal Extreme Rainfall over the Iberian Peninsula in the Second Half of the Twentieth Century

2007 ◽  
Vol 20 (1) ◽  
pp. 113-130 ◽  
Author(s):  
JoséAgustín García ◽  
María Cruz Gallego ◽  
Antonio Serrano ◽  
JoséManuel Vaquero
Keyword(s):  
Twentieth Century ◽  
Statistical Theory ◽  
Iberian Peninsula ◽  
Extreme Values ◽  
Extreme Rainfall ◽  
Kendall Test ◽  
Time Dependent ◽  
The West ◽  
Daily Scale ◽  
Dipolar Pattern

Abstract In this study trends in extreme rainfall over the Iberian Peninsula at a daily scale in the second half of the twentieth century have been detected and analyzed. For this goal 35 stations evenly distributed over the region of study covering the period 1958–97 have been studied. Two different approaches have been used. The first one consists of the nonparametric Mann–Kendall test and the Sen method. The second approach is based on the statistical theory of extreme values, involving time-dependent parameters in order to be able to reflect possible temporal changes in the frequency distribution. Results from both methods agree, confirming the reliability of the analysis. Negative trends are found for the west and southwest of the Iberian Peninsula in spring and winter. In autumn a spatial dipolar pattern appears, but trends are not so evident.

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