Improved Velocity Distribution Applied to Fokker–Planck–Kramers Equation Treatment for Dynamics of Diffusion-Controlled Reactions in Two Dimensions

2003 ◽  
Vol 76 (2) ◽  
pp. 261-270 ◽  
Author(s):  
Kazuyasu Ibuki ◽  
Fumihiro Nishiguchi ◽  
Masakatsu Ueno
Keyword(s):  
Velocity Distribution ◽  
Two Dimensions ◽  
Diffusion Controlled ◽  
Kramers Equation ◽  
Fokker Planck

Association rates of diffusion-controlled reactions in two dimensions

1985 ◽  
Vol 4 (2-3) ◽  
pp. 139-155 ◽  
Author(s):  
Alberto Gandolfi ◽  
Anna Gerardi ◽  
Federico Marchetti
Keyword(s):  
Two Dimensions ◽  
Diffusion Controlled

The Anomalous Diffusion-limited Reaction Kinetics of a Phototrapping Reaction

1996 ◽  
Vol 464 ◽  
Author(s):  
Eric Monson ◽  
Anna L. Lin ◽  
Raoul Kopelman
Keyword(s):  
Laser Beam ◽  
Two Dimensions ◽  
One Dimensional ◽  
Rate Laws ◽  
Diffusion Limited ◽  
Dimensional Diffusion ◽  
Diffusion Controlled ◽  
Kinetics Of ◽  
Diffusion Limited Reaction ◽  
Classical Constant

AbstractA focused laser beam acts as both a “phototrap”, bleaching fluorophore molecules which diffuse into the beam path, and as a confocal probe, detecting the excited, unbleached fluorophore molecules still present in the trap. With this focused laser beam, we observe anomalous asymptotic rate laws similar to those predicted for a diffusion-controlled elementary trapping reaction, A + T → T, in one and two dimensions. One dimensional diffusion-limited trapping kinetics are approached in capillaries with 10 μm diameters while two dimensional diffusion limited trapping kinetics are observed with unstirred samples having a quasi 2-D geometry. In the presence of stirring, the 2-D samplesexhibit the classical, constant trapping rate over time.

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