scholarly journals Nonexponentiality of time dependent survival probability and the fractional viscosity dependence of the rate in diffusion controlled reactions in a polymer chain

2001 ◽  
Vol 114 (20) ◽  
pp. 9170-9178 ◽  
Author(s):  
Goundla Srinivas ◽  
Arun Yethiraj ◽  
Biman Bagchi
Keyword(s):  
Polymer Chain ◽  
Survival Probability ◽  
Time Dependent ◽  
Diffusion Controlled ◽  
Viscosity Dependence

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
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