scholarly journals Kinetics of coalescence, annihilation, and the q-state Potts model in one dimension

2000 ◽  
Vol 275 (5-6) ◽  
pp. 382-385 ◽  
Author(s):  
Thomas Masser ◽  
Daniel ben-Avraham
Keyword(s):  
Potts Model ◽  
One Dimension ◽  
Kinetics Of

Experimental Investigations of the Kinetics of a Catalytic Trapping Reaction in Confined Spaces

1996 ◽  
Vol 464 ◽  
Author(s):  
Mark S. Feldman ◽  
Anna L. Lin ◽  
Raoul Kopelman
Keyword(s):  
Reaction Front ◽  
Rate Coefficient ◽  
Capillary Tube ◽  
One Dimension ◽  
Experimental Investigations ◽  
Confined Spaces ◽  
Diffusion Limited ◽  
Kinetics Of ◽  
Oxidation Of Glucose ◽  
Theoretical Results

AbstractWe investigate the anomalous kinetics in one dimension of a diffusion limited catalytic trapping reaction, A + T → T, by measuring the oxidation of glucose. The reaction is carried out in a thin capillary tube, and the depletion of oxygen in the vicinity of the reaction front is monitored by the fluorescence of a Ru(II) dye. Theoretical results and simulations have predicted an asymptotic t1/2 dependence for the rate coefficient. We observe a depedence on t0.56, with what appears to be an asymptotic behavior approaching t1/2.

scholarly journals Kinetics of the cellular Potts model revisited

2011 ◽  
Vol 13 (3) ◽  
pp. 033035 ◽  
Author(s):  
Akihiko Nakajima ◽  
Shuji Ishihara
Keyword(s):  
Potts Model ◽  
Cellular Potts Model ◽  
Kinetics Of

Diffusion-annihilation and the kinetics of the Ising model in one dimension

1991 ◽  
Vol 65 (5-6) ◽  
pp. 1235-1246 ◽  
Author(s):  
Fereydoon Family ◽  
Jacques G. Amar
Keyword(s):  
Ising Model ◽  
One Dimension ◽  
Kinetics Of

Anomalous Kinetics of the Trapping Reaction in One Dimension Under Steady State Conditions

1995 ◽  
Vol 407 ◽  
Author(s):  
Anna L. Lin ◽  
Raoul Kopelman
Keyword(s):  
Monte Carlo ◽  
Steady State ◽  
Monte Carlo Simulations ◽  
Reaction Rate ◽  
Particle Density ◽  
Self Organization ◽  
One Dimension ◽  
Algebraic Decay ◽  
Kinetic Rate ◽  
Kinetics Of

ABSTRACTWe study the A + B→B trapping reaction under steady state conditions for the case in which both A particles and traps(B) are mobile. Using Monte Carlo simulations, we follow the kinetic rate law in one dimension. Anomalies arise due to self-organization of the A particles, which results in a slower steady state reaction rate than is predicted classically. We find a partial order of reaction with respect to trap density of X = 2, and an overall order for the reaction of Z = 3.2. These results are in agreement with other works which predict an exponential rather than an algebraic decay law with respect to the A particle density.

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