Bimolecular Diffusion-Limited Reaction Kinetics at Steady-State

Author(s):  
Eric Clement ◽  
Leonard Sander ◽  
Raoul Kopelman
2006 ◽  
Vol 110 (4) ◽  
pp. 1820-1829 ◽  
Author(s):  
Gregory L. Fisher ◽  
Christopher Szakal ◽  
Christopher J. Wetteland ◽  
Nicholas Winograd

1992 ◽  
Vol 290 ◽  
Author(s):  
Zhong-You Shi ◽  
Raoul Kopelman

AbstractThe reaction A+A→0 is simulated in 1-D and 2-D square lattices with various local reaction probabilities, P. The effective reaction order, X, and the nearest neighbor distance distribution (NNDD), are evaluated in all these reactions. For batch reactions, sharp increases in X with increasing P occur at early times. Classical reaction limited kinetics is obtained at early times only when P→0. At long times, all reactions are in the non-classical, diffusion limited regime, regardless of P. For steady state reactions, our results demonstrate a similar behavior of X with P. The NNDD at steady state in 1-D media at P=1.0, i.e. diffusion limited reaction, follows the previously reported skewed exponential shape. This is no longer true for P<I. Finally, at P→0, as expected, an exponential (Poissonian) distribution is obtained for both reaction conditions.


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